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<journal-meta>
<journal-id journal-id-type="publisher-id">INFORMATICA</journal-id>
<journal-title-group><journal-title>Informatica</journal-title></journal-title-group>
<issn pub-type="epub">1822-8844</issn><issn pub-type="ppub">0868-4952</issn><issn-l>0868-4952</issn-l>
<publisher>
<publisher-name>Vilnius University</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">INFOR470</article-id>
<article-id pub-id-type="doi">10.15388/21-INFOR470</article-id>
<article-categories><subj-group subj-group-type="heading">
<subject>Research Article</subject></subj-group></article-categories>
<title-group>
<article-title>Development of a Fuzzy Inference Based Solar Energy Controller for Smart Marine Water Monitoring</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Kalibatienė</surname><given-names>Diana</given-names></name><email xlink:href="diana.kalibatiene@vilniustech.lt">diana.kalibatiene@vilniustech.lt</email><xref ref-type="aff" rid="j_infor470_aff_001">1</xref><bio>
<p><bold>D. Kalibatienė</bold> is a full-time professor at the Department of Information Systems, Faculty of Fundamental Sciences, Vilnius Gediminas Technical University (VilniusTECH), Lithuania. In 2009, she defended a PhD in Technological Sciences, Informatics Engineering at VilniusTECH on the topic <italic>Ontology-Based Development of Domain Rules</italic>. She is the co-author of more than 45 research papers and the book <italic>Advanced Databases</italic>. She gives lectures for students on software systems engineering, supervises doctoral students, participates in the study and research projects, prepared two bachelor study programmes (“Information Systems” and “Software Engineering”) and is a programme committee chair of master study programme “Information Systems Software Engineering”. She delivered lectures at Palermo University (Sicily, Italy), University of La Laguna (Tenerife, Spain) and University of Ruse (Ruse, Bulgaria). Currently, D. Kalibatienė is the guest editor of a special issue of the journal Applied Sciences. She is a member of programme committee of the International Baltic Conference on Digital Business and Intelligent Systems (Baltic DB&amp;IS 2022). She actively reviews research papers, project applications and study work, and makes presentations in international conferences. Her research interests include modelling and development of information systems based on business rules and ontology; modelling and simulation of knowledge-based multi-objective dynamic business processes; application of multi-criteria decision-making methods to solve engineering tasks; application of fuzzy set theory to model, plan and predict the concept of quality in various subject areas.</p></bio>
</contrib>
<contrib contrib-type="author">
<name><surname>Miliauskaitė</surname><given-names>Jolanta</given-names></name><email xlink:href="jolanta.miliauskaite@mif.vu.lt">jolanta.miliauskaite@mif.vu.lt</email><xref ref-type="aff" rid="j_infor470_aff_002">2</xref><bio>
<p><bold>J. Miliauskaitė</bold> is a junior researcher at Vilnius University (VU) (Lithuania) Institute of Data Science and Digital Technologies Department of Cyber-Social Systems Engineering Group. In 2015, she defended a PhD in Technological Sciences, Informatics Engineering at VU on the topic <italic>A Fuzzy Inference-Based Approach to Planning Quality of Enterprise Business Services</italic>. She is the co-author of research papers in the field of computer sciences. She is an assistant at VU Faculty of Mathematics and Informatics and a docent at Vilnius Gediminas Technical University (Lithuania) Faculty of Fundamental Sciences Department of Information Systems. She participated in the project of EU Structural Funds “Theoretical and Engineering Aspects of E-Service Technology Development and Application in High-Performance Computing Platforms”. She is a member of organising committee of the International Baltic Conference on Databases and Information Systems (Baltic DB&amp;IS 2012, Baltic DB&amp;IS 2018). She is a member of Lithuanian Computer Society (LIKS). She reviews research papers, study work, and makes presentations in international conferences. Her research interests include enterprise business services, service-oriented enterprise systems, web service composition, quality of service modelling and evaluation in service-oriented enterprise systems; application of multi-criteria decision-making methods to solve engineering tasks; application of fuzzy set theory to model, plan and predict the concept of quality in various subject areas.</p></bio>
</contrib>
<contrib contrib-type="author">
<contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-1646-2720</contrib-id>
<name><surname>Dzemydienė</surname><given-names>Dalė</given-names></name><email xlink:href="dale.dzemydiene@mif.vu.lt">dale.dzemydiene@mif.vu.lt</email><xref ref-type="aff" rid="j_infor470_aff_002">2</xref><xref ref-type="corresp" rid="cor1">∗</xref><bio>
<p><bold>D. Dzemydienė</bold> is a professor, doctor, senior researcher working at the Cyber-Social Systems Engineering Group in the Institute of Data Science and Digital Technologies at the Faculty of Mathematics and Informatics of Vilnius University (Lithuania). She obtained a diploma with honour of applied mathematics in specialization of software engineering in 1980, PhD of mathematics-informatics sciences in 1995, completed the habilitated doctor procedure in the field of social sciences of management and administration in 2004. She has published about three hundred research articles, three manual books and one monograph book. She is an organizer of international conferences in the area of information systems and database development. She is the head of the Legal Informatics Section of Lithuanian Computer Society (LIKS), member of European Coordinating Committee for Artificial Intelligence (ECCAI) and member of Lithuanian Operation Research Association. Her research interests include: artificial intelligence methods, knowledge representation and decision support systems, wireless computing, evaluation of sustainable development processes.</p></bio>
</contrib>
<contrib contrib-type="author">
<name><surname>Maskeliūnas</surname><given-names>Saulius</given-names></name><email xlink:href="saulius.maskeliunas@mif.vu.lt">saulius.maskeliunas@mif.vu.lt</email><xref ref-type="aff" rid="j_infor470_aff_002">2</xref><bio>
<p><bold>S. Maskeliūnas</bold> is a doctor of informatics sciences, working as a researcher at the Cyber-Social Systems Engineering Group in the Institute of Data Science and Digital Technologies of Vilnius University, Lithuania. He has defended the diploma in engineering and system-technical sciences at the Kaunas University of Technology (1984); PhD in informatics sciences (1996). He was the co-author and the system analyst of the projects “Governmental administrative information system VADIS” (1996–1998), “Long-term assistance on information and reporting, information management programme” (2000–2001), “Transposition of the EU Water Framework Directive and Elaboration of a National Strategy for the Management of Water Resources in Lithuania” (2002), “Implementation of the EU Water Framework Directive, Lithuania, Meeting 2006 Deadlines” (2003–2004); task leader of the project “Lithuania – RTD Technological Audit: a complex study of ICT RTD potential in Lithuania” (2009–2010), National open access research data archive MIDAS (2012–2015). He is an author of about 50 research articles. His research interests: information and knowledge-based systems, ontological engineering, semantic web, web services, scientometrics, knowledge management.</p></bio>
</contrib>
<aff id="j_infor470_aff_001"><label>1</label>Department of Information Systems, Faculty of Fundamental Sciences, <institution>Vilnius Gediminas Technical University</institution>, Sauletekio av. 11, LT-10223 Vilnius, <country>Lithuania</country></aff>
<aff id="j_infor470_aff_002"><label>2</label>Institute of Data Science and Digital Technologies, Faculty of Mathematics and Informatics, <institution>Vilnius University</institution>, Akademijos str. 4, LT-08412 Vilnius, <country>Lithuania</country></aff>
</contrib-group>
<author-notes>
<corresp id="cor1"><label>∗</label>Corresponding author.</corresp>
</author-notes>
<pub-date pub-type="ppub"><year>2021</year></pub-date><pub-date pub-type="epub"><day>10</day><month>12</month><year>2021</year></pub-date><volume>32</volume><issue>4</issue><fpage>795</fpage><lpage>816</lpage><history><date date-type="received"><month>9</month><year>2021</year></date><date date-type="accepted"><month>12</month><year>2021</year></date></history>
<permissions><copyright-statement>© 2021 Vilnius University</copyright-statement><copyright-year>2021</copyright-year>
<license license-type="open-access" xlink:href="http://creativecommons.org/licenses/by/4.0/">
<license-p>Open access article under the <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/4.0/">CC BY</ext-link> license.</license-p></license></permissions>
<abstract>
<p>Nowadays, there is a lack of smart marine monitoring systems, which have possibilities to integrate multi-dimensional components for monitoring and predicting marine water quality and making decisions for their optimal operations with minimal human intervention. This research aims to extend the smart coastal marine monitoring by proposing a solar energy planning and control component. The proposed approach involves the adaptive neuro-fuzzy inference system (ANFIS) for the wireless buoys, working online during the whole year in the Baltic Sea near the Lithuanian coast. The usage of our proposed fuzzy solar energy planning and control components allows us to prolong the lifespan of batteries in buoys, so it has a positive impact on sustainable development. The novelty and advantage of the proposed approach lie in establishing the ANFIS-based model to predict and control solar energy in a buoy for different lighting and temperature conditions depending on the four year seasons and to make a decision to transfer the collected data. The energy planning and consumption system for the wireless sensor network of buoys is carefully evaluated, and its prototype is developed. The proposed approach can be practically used for environmental monitoring, providing stakeholders with relevant and timely information for sound decision-making about hydro-meteorological situations in coastal marine water.</p>
</abstract>
<kwd-group>
<label>Key words</label>
<kwd>marine water monitoring</kwd>
<kwd>buoys</kwd>
<kwd>adaptive neural fuzzy inference system (ANFIS)</kwd>
<kwd>fuzzy controller</kwd>
<kwd>wireless sensor network (WSN)</kwd>
<kwd>Photovoltaic (PV) system</kwd>
<kwd>energy optimization</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="j_infor470_s_001">
<label>1</label>
<title>Introduction</title>
<p>In recent years, increasing environmental pollution and human intervention into nature, like wastewater, urbanization, mining, industrialization, and agriculture, have increased the need to study and monitor these adverse effects in marine waters (Aghel <italic>et al.</italic>, <xref ref-type="bibr" rid="j_infor470_ref_002">2019</xref>; Delpla <italic>et al.</italic>, <xref ref-type="bibr" rid="j_infor470_ref_010">2015</xref>; Behmel <italic>et al.</italic>, <xref ref-type="bibr" rid="j_infor470_ref_003">2016</xref>). Consequently, smart marine water monitoring methods with application of artificial intelligence (AI) methods for realization of decision-making and analysis in the area of water quality monitoring, collecting of water samples and water analysis are needful (Demetillo <italic>et al.</italic>, <xref ref-type="bibr" rid="j_infor470_ref_011">2019</xref>; Ullo and Sinha, <xref ref-type="bibr" rid="j_infor470_ref_052">2020</xref>). Moreover, those methods should be implemented into smart systems with combination of multi-functional nodes for obtaining of final goals of marine water quality monitoring. In this research, we understand a <italic>smart</italic> marine monitoring system as a system with additional AI components. One of the important steps in developing of such complex smart systems is the considering of the energy sources of these systems. Recently, a number of systems can operate on the basis of solar energy, like Mofijur <italic>et al.</italic> (<xref ref-type="bibr" rid="j_infor470_ref_038">2019</xref>), Tao <italic>et al.</italic> (<xref ref-type="bibr" rid="j_infor470_ref_049">2021</xref>), Kumar <italic>et al.</italic> (<xref ref-type="bibr" rid="j_infor470_ref_031">2020</xref>). Consequently, in this paper, we are emphasizing on the usage of solar energy for a smart fuzzy system of marine water quality monitoring.</p>
<p>Therefore, the aim of this research is to develop the smart fuzzy inference based solar energy planning and control component for coastal marine water monitoring. The usage of the proposed smart fuzzy inference based solar energy planning and control component (Smart-SolE) allows us to prolong the lifespan of batteries in buoys, so it has a positive impact on sustainable development that responds to the main Sustainable Development Goals (SDG) of Agenda’2030 (Colglazier, <xref ref-type="bibr" rid="j_infor470_ref_007">2015</xref>), and Green Deal’2030 Strategy (European Commission, <xref ref-type="bibr" rid="j_infor470_ref_015">2019</xref>).</p>
<p>Recently, researchers have used heuristic artificial intelligence-based algorithms that can estimate and present the potential energy of system loads from nonlinear solar energy (Sarkar <italic>et al.</italic>, <xref ref-type="bibr" rid="j_infor470_ref_046">2021</xref>). Liu <italic>et al.</italic> (<xref ref-type="bibr" rid="j_infor470_ref_035">2021</xref>) in their proposed method for power management consider the effects of variation of temperature, radiation, output load, and use Type-3 fuzzy system. For future works, authors have left the issues of stability. Padmanaban <italic>et al.</italic> (<xref ref-type="bibr" rid="j_infor470_ref_042">2019</xref>) have used a hybrid ANFIS-ABC swarm intelligent control for power point tracking in the photovoltaic (PV) system with grid integration, Mosavi <italic>et al.</italic> (<xref ref-type="bibr" rid="j_infor470_ref_040">2020</xref>) – Type-3 fuzzy system for energy/voltage management in PV/battery systems. González-Reolid <italic>et al.</italic> (<xref ref-type="bibr" rid="j_infor470_ref_017">2018</xref>) have proposed BUSCAMOS-RobObs for water quality monitoring in lakes and shallow coastal waters. Their proposed approach improves the autonomy in monitoring water quality parameters and avoids the deployment of a large number of buoys. In order to minimize the energy consumption, authors have used fuzzy goal management system, which considers the state of batteries and the distance to alternative exploration areas to select the next mission zone.</p>
<p>Recently, the fuzzy set theory has emerged as a powerful technique in the analysis and decision making in water quality analysis of open resources and hydrology (Kambalimath and Deka, <xref ref-type="bibr" rid="j_infor470_ref_027">2020</xref>). It allows to consider the handling of vagueness (or ambiguity) in hydrology (Bogardi <italic>et al.</italic>, <xref ref-type="bibr" rid="j_infor470_ref_004">2004</xref>), like lack of data, nature causes (e.g. climate), imprecise modelling of changing phenomenon of mixing and transitional waters, etc. A number of authors in different areas of application have presented the suitability and applicability of fuzzy set theory, like Zimmermann (<xref ref-type="bibr" rid="j_infor470_ref_062">2001</xref>), Tamir <italic>et al.</italic> (<xref ref-type="bibr" rid="j_infor470_ref_048">2015</xref>), Verma and Merigó (<xref ref-type="bibr" rid="j_infor470_ref_053">2020</xref>), etc.</p>
<p>According to Ighalo <italic>et al.</italic> (<xref ref-type="bibr" rid="j_infor470_ref_023">2021</xref>), the Adaptive Neuro-Fuzzy Inference System (ANFIS) and Artificial Neural Networks (ANN) are the most utilized AI models for water quality monitoring and assessment systems, which include the usage of solar energy, in the last decade. The advantages of using AI methods in various monitoring and assessment application areas are that they are faster and more efficient than linear mathematical or statistical methods, low-cost, can be used for real-time monitoring (Yetilmezsoy <italic>et al.</italic>, <xref ref-type="bibr" rid="j_infor470_ref_057">2011</xref>; Ighalo <italic>et al.</italic>, <xref ref-type="bibr" rid="j_infor470_ref_023">2021</xref>; Demetillo <italic>et al.</italic>, <xref ref-type="bibr" rid="j_infor470_ref_011">2019</xref>), and ensure lower error values in prediction (Karaboga and Kaya, <xref ref-type="bibr" rid="j_infor470_ref_028">2019</xref>).</p>
<p>The usage of ontologies for marine sensor networks is expanding nowadays. The joint World Wide Web Consortium (W3C) and Open Geospatial Consortium (OGC) Spatial Data on the Web (SDW) Working Group developed a set of ontologies to describe sensors, actuators, samplers, as well as their observation, actuation, and sampling activities. The ontologies have been published both as a W3C recommendation and as an OGC implementation standard. The set includes a lightweight core module called SOSA (Sensor, Observation, Sampler, and Actuator), and a more expressive extension module called SSN (Semantic Sensor Network). Together they describe systems of sensors and actuators, observations, the used procedures, the subjects and their properties being observed or acted upon, samples and the process of sampling, etc. (W3C, <xref ref-type="bibr" rid="j_infor470_ref_056">2017</xref>; Haller <italic>et al.</italic>, <xref ref-type="bibr" rid="j_infor470_ref_020">2019</xref>). The SOSA ontology was developed based on SSN ontology and taking into account the changes in scope and target audience, technical developments, and lessons learned over the past years. It provides a formal but lightweight general-purpose specification for modelling the interaction between the entities involved in the acts of observation, actuation, and sampling (Janowicz <italic>et al.</italic>, <xref ref-type="bibr" rid="j_infor470_ref_025">2019</xref>). Marine ecology ontology repository is presented in Yun <italic>et al.</italic> (<xref ref-type="bibr" rid="j_infor470_ref_058">2015</xref>), which implements marine ecological knowledge navigation, term query, knowledge retrieval and ecological crisis early warning. Moreover, ontologies are useful in capturing domain causality as the internal domain model (Gudas, <xref ref-type="bibr" rid="j_infor470_ref_019">2021</xref>), to eliminate conceptual ambiguity and semantic gap in information security (Iqbal and Matulevičius, <xref ref-type="bibr" rid="j_infor470_ref_024">2020</xref>), etc.</p>
<p>The proposals for developing of mobile buoy systems and integrating of different kinds of sensors for hydro-meteorological monitoring purposes of marine water are presented in works (Dzemydienė <italic>et al.</italic>, <xref ref-type="bibr" rid="j_infor470_ref_014">2021</xref>; Gricius <italic>et al.</italic>, <xref ref-type="bibr" rid="j_infor470_ref_018">2015</xref>; Lin <italic>et al.</italic>, <xref ref-type="bibr" rid="j_infor470_ref_034">2017</xref>). The heterogeneous sensors are implemented in the buoy system and can observe the water surface elevations by providing the real-time tide and wave data in estuaries and coastal areas (Lin <italic>et al.</italic>, <xref ref-type="bibr" rid="j_infor470_ref_034">2017</xref>; Zoss <italic>et al.</italic>, <xref ref-type="bibr" rid="j_infor470_ref_063">2018</xref>). The distributed system of autonomous buoys for scalable deployment and monitoring of coastal waterbodies have had a dynamic cooperative array of mobile buoys afforded with sensing capabilities (Dzemydienė and Radzevičius, <xref ref-type="bibr" rid="j_infor470_ref_013">2020</xref>; Zoss <italic>et al.</italic>, <xref ref-type="bibr" rid="j_infor470_ref_063">2018</xref>). The mobile buoy system, described in Helmi <italic>et al.</italic> (<xref ref-type="bibr" rid="j_infor470_ref_021">2014</xref>), can work remotely controlled by a computer which sends a series of commands to Intel Atom N2600 Board and microcontrollers over Global System for Mobile Communication (GSM). Authors describe the monitoring of water quality in continental, coastal areas and in lakes.</p>
<p>In this research, we are focusing on the solar energy usage for a smart fuzzy system of marine water monitoring of the Baltic Sea region in the coastal waters of Lithuania. The peculiarities of four seasons (winter, spring, summer, and autumn) in the Baltic Sea region are observed, i.e. air temperature, solar irradiance and their ratio change significantly. That gives the experiment its uniqueness, and requires additional testing and system calibration.</p>
<p>The novelty of the present research lies in establishing an ANFIS-based model to predict and control solar energy in a solar buoy for different lighting and temperature conditions depending on the four seasons (autumn, winter, spring and summer). Furthermore, the proposed model has been implemented in a smart fuzzy coastal marine water monitoring system (Smart-MarineM) for estimation of a current power of a solar battery, lighting and temperature conditions and to make a decision to transfer the data.</p>
<p>The structure of the paper is as follows. Section <xref rid="j_infor470_s_002">2</xref> presents Related works. Section <xref rid="j_infor470_s_003">3</xref> describes the developed smart fuzzy system of marine water monitoring including fuzzy inference based solar energy planning using ANFIS. Section <xref rid="j_infor470_s_008">4</xref> presents the results of the implementation of the proposed approach and experiments. Section <xref rid="j_infor470_s_009">5</xref> presents Discussion, and Section <xref rid="j_infor470_s_010">6</xref> concludes the paper.</p>
</sec>
<sec id="j_infor470_s_002">
<label>2</label>
<title>Related Works</title>
<p>In this section, we review papers dealing with the usage of solar energy (or irradiation) for a smart marine water quality monitoring.</p>
<p>Vo <italic>et al.</italic> (<xref ref-type="bibr" rid="j_infor470_ref_055">2021</xref>) have presented a review on the Internet of Things (IoT) technologies in controlling ocean environment. They have concluded that almost all the existing ocean environment control applications gathered and analysed extensive data from the marine environment, however, marine environmental monitoring activities to protect marine ecosystems were still very limited. According to Vo <italic>et al.</italic> (<xref ref-type="bibr" rid="j_infor470_ref_055">2021</xref>), the usage of AI in such systems allows us to enable more accurate and flexible data collection. Moreover, the application of big data and real-time parallel with 5G network technology is convenient for marine environmental control centres to access, process, and analyse the received data with ultra-high spatial and temporal resolution so that solutions can be issued to fix unexpected events immediately.</p>
<p>In Cho <italic>et al.</italic> (<xref ref-type="bibr" rid="j_infor470_ref_006">2021</xref>), it is argued that recent demand for eco-friendly energy sources has been rapidly increasing. Therefore, the Lithium-ion battery (LIB) exposed to seawater or corroded by immersion is not suitable for marine buoys because its cobalt toxicity causes serious environmental pollution problems (Olivetti <italic>et al.</italic>, <xref ref-type="bibr" rid="j_infor470_ref_041">2017</xref>). Consequently, a number of authors have proposed to use seawater batteries (Cho <italic>et al.</italic>, <xref ref-type="bibr" rid="j_infor470_ref_006">2021</xref>; Ligaray <italic>et al.</italic>, <xref ref-type="bibr" rid="j_infor470_ref_033">2020</xref>; Zhang <italic>et al.</italic>, <xref ref-type="bibr" rid="j_infor470_ref_061">2018</xref>; Hwang <italic>et al.</italic>, <xref ref-type="bibr" rid="j_infor470_ref_022">2019</xref>; Kim <italic>et al.</italic>, <xref ref-type="bibr" rid="j_infor470_ref_030">2021</xref>) or solar batteries (Przybysz <italic>et al.</italic>, <xref ref-type="bibr" rid="j_infor470_ref_043">2020</xref>; Zhang <italic>et al.</italic>, <xref ref-type="bibr" rid="j_infor470_ref_060">2021</xref>; Trevathan and Sharp, <xref ref-type="bibr" rid="j_infor470_ref_051">2020</xref>) for wireless marine buoy systems. However, as indicated in Cho <italic>et al.</italic> (<xref ref-type="bibr" rid="j_infor470_ref_006">2021</xref>), Demirdelen <italic>et al.</italic> (<xref ref-type="bibr" rid="j_infor470_ref_012">2019</xref>), there are some issues to be resolved when using those batteries as follows: 1) proper support charge during battery usage; 2) maintaining stable battery state by preventing overcharge and undercharge; 3) for lifetime or optimal replacement time estimations, the degradation progress in the battery needs to be reported. Moreover, the marine buoy needs to be self-powered with harvesting devices such as PV (Helmi <italic>et al.</italic>, <xref ref-type="bibr" rid="j_infor470_ref_021">2014</xref>), wind (Kesavakumar <italic>et al.</italic>, <xref ref-type="bibr" rid="j_infor470_ref_029">2013</xref>) and wave harvester (Li <italic>et al.</italic>, <xref ref-type="bibr" rid="j_infor470_ref_032">2019</xref>) for long-lasting system operation. Also, intelligent power management techniques are required, since the buoy lightening causes large power consumption.</p>
<p>Demirdelen <italic>et al.</italic> (<xref ref-type="bibr" rid="j_infor470_ref_012">2019</xref>) have reviewed different solar power prediction methods in order to obtain more accuracy. They have determined, that in real-time operation systems, i.e. buoys, a short time prediction is used.</p>
<p>Morón-López <italic>et al.</italic> (<xref ref-type="bibr" rid="j_infor470_ref_039">2020</xref>) have implemented a Remote Monitoring System (RMS) based on IoT technologies combined with satellite imagery, track harmful algae blooms (HABs) in two Spanish waters: the freshwater (Conchas Reservoir (Galicia)) and the brackish water shallow (L’Albufera Lagoon (Valencia)). The authors concentrate on data collection from two different environments, data transfer to a data management system on the cloud and their visualisation on the web interface in real time and do not describe battery power management.</p>
<p>Falleni <italic>et al.</italic> (<xref ref-type="bibr" rid="j_infor470_ref_016">2020</xref>) have proposed a Smart Buoy for real-time remote access to underwater devices and for provision of power and extended computational capabilities. Its Power Module houses a central battery unit and a solar panel that together offer the buoy long periods of autonomy while deployed. The module also includes a solar charge controller that prevents over-charging and over-discharging of the battery, and voltage regulators and electric switches that power on and off the other components while performing energy-saving when possible. Consequently, the Power Module does not have an intelligent component and is relatively simple. However, their experiments showed that the Smart Buoy operates properly.</p>
<p>In the proposed Floating Water Quality Monitoring using IoT System (Thamrin <italic>et al.</italic>, <xref ref-type="bibr" rid="j_infor470_ref_050">2021</xref>), a self-power embedded controller is used. The power storage could provide enough for the entire system to operate with optimum voltage and current for 24-hour operation.</p>
<p>In Sabatini <italic>et al.</italic> (<xref ref-type="bibr" rid="j_infor470_ref_045">2021</xref>), a sensor network for inland water monitoring based on buoys embedded with the reduced size and power consumption release of the BIONOTE-L is presented.</p>
<p>Darmawan <italic>et al.</italic> (<xref ref-type="bibr" rid="j_infor470_ref_009">2020</xref>) have designed the detection device for seawater waves with fuzzy algorithm based on IoT. Authors investigated the possibilities to combine a gyroscope, which detect and measure the angular motion of waves, an accelerometer, which measures the acceleration of the force of waves, and LoRa (i.e. Long Range and proprietary low-power wide-area network modulation technique), which became useful for developing of a low-power wireless technology that uses radio spectrum (Darmawan <italic>et al.</italic>, <xref ref-type="bibr" rid="j_infor470_ref_009">2020</xref>). Authors are trying to implement the fuzzy set theory to predict the tsunami waves at sea. However, they do not present a fuzzy reasoning system in details. Only fuzzy calculations are presented in the paper. Moreover, the proposed system testing during the medium and dangerous environment conditions is not clear. The observations are devoted for inland waters, but have no analysis of possibilities for developing of online working buoy systems with the implementation of solar energy in small devices.</p>
<p>The mobile buoy systems for water quality monitoring are presented in Zoss <italic>et al.</italic> (<xref ref-type="bibr" rid="j_infor470_ref_063">2018</xref>). Similar structures of systems are developed as a GNSS buoy and have possibility to observe the water surface elevations and provide the real-time tide and wave data in estuaries and coastal areas in Lin <italic>et al.</italic> (<xref ref-type="bibr" rid="j_infor470_ref_034">2017</xref>), Dzemydienė and Radzevičius (<xref ref-type="bibr" rid="j_infor470_ref_013">2020</xref>). The problem of distributing of operations is considered in Zoss <italic>et al.</italic> (<xref ref-type="bibr" rid="j_infor470_ref_063">2018</xref>). The system consists of a dynamic cooperative array of mobile buoys afforded with sensing capabilities. The possibilities to use the solar energy are omitted, and we see the need to apply the intelligent components like fuzzy reasoning and ANFIS for predicting, planning and maintaining the energy of a smart system.</p>
<p>The controller based on the adaptive fuzzy neural network to track the dynamically positioned vehicle on water with unavailable velocities and unidentified control parameters is presented by Zhang <italic>et al.</italic> (<xref ref-type="bibr" rid="j_infor470_ref_059">2020</xref>). Qin <italic>et al.</italic> (<xref ref-type="bibr" rid="j_infor470_ref_044">2019</xref>) have solved the problem of missing data due to transmission errors by using sensor’s failure and equipment’s maintenance methods in buoy-based monitoring system. Song <italic>et al.</italic> (<xref ref-type="bibr" rid="j_infor470_ref_047">2021</xref>) are trying to present the continuous space location model and a particle swarm Optimization-Based Heuristic Algorithm for maximizing the allocation of ocean-moored buoys.</p>
<p>Summing up, the topic of exploring marine environment using different smart marine water quality monitoring systems is relevant and expands in the way of using IoT and cloud technologies for better data transmission and processing. However, the topic of intelligent solar energy (or irradiation) management system for a marine water quality monitoring remains insufficiently examined. Almost all found buoy systems for marine water monitoring are equipped with linear solar power control systems. Meanwhile, while solar energy management systems based on ANFIS (Abadi <italic>et al.</italic>, <xref ref-type="bibr" rid="j_infor470_ref_001">2018</xref>; Viswavandya <italic>et al.</italic>, <xref ref-type="bibr" rid="j_infor470_ref_054">2020</xref>) are proposed in other application domains, ANFIS employment in buoys for solar energy monitoring remains little examined.</p>
<fig id="j_infor470_fig_001">
<label>Fig. 1</label>
<caption>
<p>The reference architecture of the smart fuzzy coastal marine water monitoring system (Smart-MarineM).</p>
</caption>
<graphic xlink:href="infor470_g001.jpg"/>
</fig>
</sec>
<sec id="j_infor470_s_003">
<label>3</label>
<title>Development of the Smart Fuzzy System of Marine Water Monitoring</title>
<p>The overall reference architecture of the smart fuzzy coastal marine water monitoring system (Smart-MarineM) is presented in Fig. <xref rid="j_infor470_fig_001">1</xref>. The Smart-MarineM is designed with its main goal of coastal marine water hydro-meteorological data monitoring with the consideration that the system: 1) can measure and store information in a <italic>Data Storage</italic> in a real-time scenario; 2) adopts to the solar energy consumption (the <italic>Smart fuzzy solar energy planning and control component</italic> (Smart-SolE)); 3) is suitable for intelligent data transfer to the <italic>Smart monitoring</italic> node; 4) is suitable for smart energy planning and control using ANFIS.</p>
<sec id="j_infor470_s_004">
<label>3.1</label>
<title>The Reference Architecture of Smart-MarineM</title>
<p>The most important function of the system is to ensure that the data collection from the <italic>Sensors</italic> reflect the actual aquatic status and the data are transmitted and delivered to the <italic>Data Warehouse</italic> of the <italic>Decision Support Subsystem</italic> in a timely manner using <italic>Communication component. Solar component</italic> (consisting of a Solar panel – energy generator, and a battery) ensures the delivery of energy to the buoy. The <italic>Decision Support Subsystem</italic> is responsible for processing of the data from <italic>Data Warehouse</italic> using the <italic>Fuzzy reasoning component</italic>, which evaluates overall situation of water quality and transfers results to <italic>Decision-making engine</italic>. The <italic>Ontology</italic> component is used for the description of data in the Data Warehouse. The usage of <italic>Ontology</italic> in our system facilitates conceptualization and smooth mapping between concepts to assist in structuring the domain knowledge; ensures explicit domain assumptions and unambiguous interpretation of both the concepts and their interrelationships by the <italic>Fuzzy reasoning component</italic>; assists more intelligent search (e.g. generalization of queries to find nearest partial matches). With the help of <italic>Ontology</italic>, the marine water monitoring system becomes more apprehensible, better prepared to any further changes and modifications required.</p>
<p>The <italic>Data Storage</italic> component is used for storage of temporal data from <italic>Sensors</italic> in the case when buoys cannot transmit the data to the <italic>Data Warehouse</italic> because of low battery.</p>
<p>Users are gathering the information through the graphical user interface (GUI) from the Smart-MarineM about hydro-meteorological situations of coastal marine water, some kinds of decisions or/and control actions.</p>
<p>The hardware background of the subsystem of buoys under development consists of the following four layers (Dâmaso <italic>et al.</italic>, <xref ref-type="bibr" rid="j_infor470_ref_008">2014</xref>; Gricius <italic>et al.</italic>, <xref ref-type="bibr" rid="j_infor470_ref_018">2015</xref>; Dzemydienė and Radzevičius, <xref ref-type="bibr" rid="j_infor470_ref_013">2020</xref>):</p>
<list>
<list-item id="j_infor470_li_001">
<label>•</label>
<p>the network layer as a background layer of computing nodes that guarantees the ability of the system to be able of working and ensuring communication between nodes (buoys) and a master node (a stationary working host machine) in a decentralized wireless way;</p>
</list-item>
<list-item id="j_infor470_li_002">
<label>•</label>
<p>the protocol layer, which consists of fundamental communication technologies, such as consensus algorithms, cryptography methods, ensuring that the system on-line work properly;</p>
</list-item>
<list-item id="j_infor470_li_003">
<label>•</label>
<p>the wireless sensors network (WSN) layer that is responsible for the primary data monitoring mission by transmitting transactions securely and assures that existing system functions are working correctly;</p>
</list-item>
<list-item id="j_infor470_li_004">
<label>•</label>
<p>the application layer, which provides APIs for the object’s usability and is responsible for interaction with the other buoys and users in the network.</p>
</list-item>
</list>
<p>An infrastructure of distributed buoys with integrated multi-function sensors should be created to support online and real-time operation of cooperative components, with limited power supply and memory capacity.</p>
<p>In this study we have focused on the smart fuzzy solar energy planning component, which is important for autonomous work of buoys subsystem. The prototype of smart system under development is working on the basis of WSN for continuous data transmitting. The hardware part of the subsystem of buoys is based on some sets of components which are integrated in the whole system. A possible description of components that can be integrated into the buoy system is presented in Table <xref rid="j_infor470_tab_001">1</xref>.</p>
<table-wrap id="j_infor470_tab_001">
<label>Table 1</label>
<caption>
<p>Components which are integrated into the structure of buoy’s system based on WSN.</p>
</caption>
<table>
<thead>
<tr>
<td style="vertical-align: top; text-align: left; border-top: solid thin; border-bottom: solid thin">No.</td>
<td style="vertical-align: top; text-align: left; border-top: solid thin; border-bottom: solid thin">Name and type of component</td>
<td style="vertical-align: top; text-align: left; border-top: solid thin; border-bottom: solid thin">Functionality description</td>
</tr>
</thead>
<tbody>
<tr>
<td style="vertical-align: top; text-align: left">1</td>
<td style="vertical-align: top; text-align: left">Arduino Mega control board with ATMega2560 microcontroller</td>
<td style="vertical-align: top; text-align: left">It works at 16 MHz clock speed and is the main block supporting the infrastructure of buoys.</td>
</tr>
<tr>
<td style="vertical-align: top; text-align: left">2</td>
<td style="vertical-align: top; text-align: left">SIM900 network module</td>
<td style="vertical-align: top; text-align: left">It is responsible for wireless communication and data transmission via GSM network to the monitoring station.</td>
</tr>
<tr>
<td style="vertical-align: top; text-align: left">3</td>
<td style="vertical-align: top; text-align: left">The geographical positioning system (GPS)</td>
<td style="vertical-align: top; text-align: left">It is used for recognition of coordinates (i.e. latitude and longitude) of buoys.</td>
</tr>
<tr>
<td style="vertical-align: top; text-align: left">4</td>
<td style="vertical-align: top; text-align: left">10 mW XBee PRO module</td>
<td style="vertical-align: top; text-align: left">It is responsible for providing wireless communication between individual buoys.</td>
</tr>
<tr>
<td style="vertical-align: top; text-align: left">5</td>
<td style="vertical-align: top; text-align: left">Connection of sensors (like the MPU6050 accelerometer/gyroscope pair)</td>
<td style="vertical-align: top; text-align: left">It is working as sensors of waviness measurements.</td>
</tr>
<tr>
<td style="vertical-align: top; text-align: left">6</td>
<td style="vertical-align: top; text-align: left">Real time control (RTC) timer</td>
<td style="vertical-align: top; text-align: left">It works as a timer for measuring time durations, and supports the control of working regime according to the supply energy and consumptions needs.</td>
</tr>
<tr>
<td style="vertical-align: top; text-align: left">7</td>
<td style="vertical-align: top; text-align: left">The connection structure for integration of other type sensors</td>
<td style="vertical-align: top; text-align: left">Heterogeneous block for connection of sensors in a buoy, like temperature, barometric pressure and other sensors.</td>
</tr>
<tr>
<td style="vertical-align: top; text-align: left">8</td>
<td style="vertical-align: top; text-align: left">Power supply block</td>
<td style="vertical-align: top; text-align: left">Each buoy is powered by solar energy, which can be charged in Ni-MH type batteries at the same time, allowing the buoy to operate during the dark and light hours throughout the day.</td>
</tr>
<tr>
<td style="vertical-align: top; text-align: left; border-bottom: solid thin">9</td>
<td style="vertical-align: top; text-align: left; border-bottom: solid thin">Global System for Mobile communication (GSM) antenna</td>
<td style="vertical-align: top; text-align: left; border-bottom: solid thin">For Mobile Wi-Fi communication.</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Each buoy can have from 1 to 20 sensors that gather different data at time intervals, which are defined in Smart-MarineM.</p>
</sec>
<sec id="j_infor470_s_005">
<label>3.2</label>
<title>ANFIS for Solar Energy Planning</title>
<sec id="j_infor470_s_006">
<label>3.2.1</label>
<title>The ANFIS Structure</title>
<p>The adaptive neuro fuzzy inference system (ANFIS), composed of the fuzzy inference system (FIS) and the artificial neural network (ANN), solves non-linear problems with enhanced performance. The FIS component conveys the qualitative human thinking process into the accurate quantifiable evaluation. The ANN component is responsible for learning (using training data sets) and adapts to its environment. ANFIS is based on premise and consequence parts, which are connected using IF-THEN fuzzy rules (Eq. (<xref rid="j_infor470_eq_001">1</xref>)): 
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<p>In this study, we have used two inputs and one output of ANFIS structure. In the first layer (Layer 1, Fig. <xref rid="j_infor470_fig_002">2</xref>), two inputs (<inline-formula id="j_infor470_ineq_004"><alternatives><mml:math>
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<fig id="j_infor470_fig_002">
<label>Fig. 2</label>
<caption>
<p>The basic ANFIS structure.</p>
</caption>
<graphic xlink:href="infor470_g002.jpg"/>
</fig>
<p>In this study, we have used triangular MF, since it is easily implementable in FIS (Miliauskaitė and Kalibatiene, <xref ref-type="bibr" rid="j_infor470_ref_036">2020a</xref>, <xref ref-type="bibr" rid="j_infor470_ref_037">2020b</xref>; Kalibatienė and Miliauskaitė, <xref ref-type="bibr" rid="j_infor470_ref_026">2021</xref>; Choi and Rhee, <xref ref-type="bibr" rid="j_infor470_ref_005">2009</xref>). 
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</mml:mtable></mml:math><tex-math><![CDATA[\[ {\mu _{{A_{i}}}}(x)=\left\{\begin{array}{l@{\hskip4.0pt}l}0,\hspace{1em}& \text{if}\hspace{2.5pt}x<{c_{1}},{c_{3}}\leqslant x,\\ {} \frac{x-{c_{1}}}{{c_{2}}-{c_{1}}},\hspace{1em}& \text{if}\hspace{2.5pt}{c_{1}}\leqslant x<{c_{2}},\\ {} \frac{{c_{3}}-x}{{c_{3}}-{c_{2}}},\hspace{1em}& \text{if}\hspace{2.5pt}{c_{2}}\leqslant x<{c_{3}},\end{array}\right.\]]]></tex-math></alternatives>
</disp-formula> 
where: <inline-formula id="j_infor470_ineq_006"><alternatives><mml:math>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="italic">c</mml:mi>
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</mml:msub></mml:math><tex-math><![CDATA[${c_{1}}$]]></tex-math></alternatives></inline-formula>, <inline-formula id="j_infor470_ineq_007"><alternatives><mml:math>
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</mml:msub></mml:math><tex-math><![CDATA[${c_{3}}$]]></tex-math></alternatives></inline-formula> are the adaptive parameters of the function.</p>
<p>The second layer (Layer 2) assesses the fuzzing inputs, evaluates the weights for the MFs and provides the strength parameters <inline-formula id="j_infor470_ineq_009"><alternatives><mml:math>
<mml:msub>
<mml:mrow>
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</mml:msub></mml:math><tex-math><![CDATA[${w_{i}}$]]></tex-math></alternatives></inline-formula> (Eq. (<xref rid="j_infor470_eq_003">3</xref>)) to the third layer (Layer 3), which normalizes the weights (<inline-formula id="j_infor470_ineq_010"><alternatives><mml:math>
<mml:msub>
<mml:mrow>
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</mml:msub></mml:math><tex-math><![CDATA[${\overline{w}_{i}}$]]></tex-math></alternatives></inline-formula>) of the MF using Eq. (<xref rid="j_infor470_eq_004">4</xref>). <disp-formula-group id="j_infor470_dg_001">
<disp-formula id="j_infor470_eq_003">
<label>(3)</label><alternatives><mml:math display="block">
<mml:mtable displaystyle="true" columnalign="right left" columnspacing="0pt">
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</mml:mtable></mml:math><tex-math><![CDATA[\[\begin{aligned}{}& {w_{i}}=\prod {\mu _{i}}(x),\end{aligned}\]]]></tex-math></alternatives>
</disp-formula>
<disp-formula id="j_infor470_eq_004">
<label>(4)</label><alternatives><mml:math display="block">
<mml:mtable displaystyle="true" columnalign="right left" columnspacing="0pt">
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</mml:mtable></mml:math><tex-math><![CDATA[\[\begin{aligned}{}& {\overline{w}_{i}}=\frac{{w_{i}}}{{\textstyle\sum _{i}}{w_{i}}}.\end{aligned}\]]]></tex-math></alternatives>
</disp-formula>
</disp-formula-group></p>
<p>The third layer (Layer 3) provides the normalized weights (<inline-formula id="j_infor470_ineq_011"><alternatives><mml:math>
<mml:msub>
<mml:mrow>
<mml:mover accent="false">
<mml:mrow>
<mml:mi mathvariant="italic">w</mml:mi>
</mml:mrow>
<mml:mo accent="true">‾</mml:mo></mml:mover>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">i</mml:mi>
</mml:mrow>
</mml:msub></mml:math><tex-math><![CDATA[${\overline{w}_{i}}$]]></tex-math></alternatives></inline-formula>) of MFs to the fourth layer (Layer 4), which applies fuzzy rules (Eq. (<xref rid="j_infor470_eq_001">1</xref>)) to obtain <inline-formula id="j_infor470_ineq_012"><alternatives><mml:math>
<mml:msub>
<mml:mrow>
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</mml:mrow>
<mml:mrow>
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</mml:mrow>
</mml:msub></mml:math><tex-math><![CDATA[${f_{i}}$]]></tex-math></alternatives></inline-formula>, performs the product of the normalized weights (<inline-formula id="j_infor470_ineq_013"><alternatives><mml:math>
<mml:msub>
<mml:mrow>
<mml:mover accent="false">
<mml:mrow>
<mml:mi mathvariant="italic">w</mml:mi>
</mml:mrow>
<mml:mo accent="true">‾</mml:mo></mml:mover>
</mml:mrow>
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<mml:mi mathvariant="italic">i</mml:mi>
</mml:mrow>
</mml:msub></mml:math><tex-math><![CDATA[${\overline{w}_{i}}$]]></tex-math></alternatives></inline-formula>) and <inline-formula id="j_infor470_ineq_014"><alternatives><mml:math>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="italic">f</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">i</mml:mi>
</mml:mrow>
</mml:msub></mml:math><tex-math><![CDATA[${f_{i}}$]]></tex-math></alternatives></inline-formula>, and provides the final results to the fifth layer (Layer 5). In Layer 5, the global model response (<italic>f</italic>) is calculated by Eq. (<xref rid="j_infor470_eq_005">5</xref>). 
<disp-formula id="j_infor470_eq_005">
<label>(5)</label><alternatives><mml:math display="block">
<mml:mtable displaystyle="true">
<mml:mtr>
<mml:mtd>
<mml:mi mathvariant="italic">f</mml:mi>
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</mml:mrow>
<mml:mrow>
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</mml:mrow>
</mml:munder>
<mml:msub>
<mml:mrow>
<mml:mover accent="false">
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</mml:mrow>
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</mml:mrow>
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<mml:mi mathvariant="italic">f</mml:mi>
</mml:mrow>
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</mml:msub>
<mml:mo>.</mml:mo>
</mml:mtd>
</mml:mtr>
</mml:mtable></mml:math><tex-math><![CDATA[\[ f=\sum \limits_{i}{\overline{w}_{i}}{f_{i}}.\]]]></tex-math></alternatives>
</disp-formula>
</p>
<p>Training of ANFIS means determining the parameters in its structure in Layer 1 and Layer 4 using an optimization algorithm. In the training phase, Layer 1 (i.e. premise) and Layer 4 (i.e. consequence) parameters are utilized in order to obtain effective results. Different training approaches have been suggested to achieve better performance of ANFIS (Karaboga and Kaya, <xref ref-type="bibr" rid="j_infor470_ref_028">2019</xref>). In our study, we have used a hybrid approach.</p>
<p>After the training is complete, the performance of ANFIS is determined by a set of different algorithms. In our case, we have used the mean squared error (MSE) (Eq. (<xref rid="j_infor470_eq_006">6</xref>)) to measure the average of the squares of errors between the outputs <inline-formula id="j_infor470_ineq_015"><alternatives><mml:math>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="italic">f</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">i</mml:mi>
</mml:mrow>
</mml:msub></mml:math><tex-math><![CDATA[${f_{i}}$]]></tex-math></alternatives></inline-formula> and the training sets <inline-formula id="j_infor470_ineq_016"><alternatives><mml:math>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="italic">f</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext mathvariant="italic">train</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">i</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:msub></mml:math><tex-math><![CDATA[${f_{{\textit{train}_{i}}}}$]]></tex-math></alternatives></inline-formula>. 
<disp-formula id="j_infor470_eq_006">
<label>(6)</label><alternatives><mml:math display="block">
<mml:mtable displaystyle="true">
<mml:mtr>
<mml:mtd>
<mml:mtext mathvariant="italic">MSE</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo maxsize="1.61em" minsize="1.61em" stretchy="true" mathvariant="normal">/</mml:mo>
<mml:mi mathvariant="italic">n</mml:mi>
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</mml:mrow>
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</mml:mrow>
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</mml:mrow>
</mml:munderover>
<mml:msup>
<mml:mrow>
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<mml:msub>
<mml:mrow>
<mml:mi mathvariant="italic">f</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">i</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>−</mml:mo>
<mml:msub>
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<mml:mi mathvariant="italic">f</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext mathvariant="italic">train</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">i</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:msub>
<mml:mo mathvariant="normal" fence="true" stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mo mathvariant="normal">,</mml:mo>
</mml:mtd>
</mml:mtr>
</mml:mtable></mml:math><tex-math><![CDATA[\[ \textit{MSE}=1\Big/n{\sum \limits_{i=1}^{n}}{({f_{i}}-{f_{{\textit{train}_{i}}}})^{2}},\]]]></tex-math></alternatives>
</disp-formula> 
where <inline-formula id="j_infor470_ineq_017"><alternatives><mml:math>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="italic">f</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">i</mml:mi>
</mml:mrow>
</mml:msub></mml:math><tex-math><![CDATA[${f_{i}}$]]></tex-math></alternatives></inline-formula> and <inline-formula id="j_infor470_ineq_018"><alternatives><mml:math>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="italic">f</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext mathvariant="italic">train</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">i</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:msub></mml:math><tex-math><![CDATA[${f_{{\textit{train}_{i}}}}$]]></tex-math></alternatives></inline-formula> denote the ANFIS output and the measured value from the <italic>i</italic>-th element. The closer MSE is to zero, the more accurate the predicted result.</p>
</sec>
<sec id="j_infor470_s_007">
<label>3.2.2</label>
<title>Smart Fuzzy Solar Energy Planning Using ANFIS</title>
<p>The proposed Smart fuzzy solar energy planning component (Smart-SolE) with ANFIS for solar energy usage evaluation is presented in Fig. <xref rid="j_infor470_fig_003">3</xref>.</p>
<fig id="j_infor470_fig_003">
<label>Fig. 3</label>
<caption>
<p>The proposed Smart-SolE (I – Irradiation (W/m<sup>2</sup>), T – Temperature, °C, P – power, W, generated by Solar energy generator, P<italic>*</italic> – power, W, predicted by ANFIS, I_PV – current, A, P_PV – voltage, V).</p>
</caption>
<graphic xlink:href="infor470_g003.jpg"/>
</fig>
<p>The operation of the proposed system is presented in Fig. <xref rid="j_infor470_fig_004">4</xref>. The system starts operating within the predefined time periods. However, this interval can be changed by the administrator or the Decision Support Subsystem (see Fig. <xref rid="j_infor470_fig_001">1</xref>) in case of emergency or the need. If the Energy planning component based on the ANFIS prediction results determines that the Solar battery is charged enough, then it sends a signal to the Communication component for transfer of data collected by Sensors to the Decision Support Subsystem. If there is not enough power for data transfer, the Smart solar energy planning component is in the mode of waiting for enough power. However, in the waiting mode the newly collected portions of data by the Solar energy generator are stored in the Data Storage.</p>
<fig id="j_infor470_fig_004">
<label>Fig. 4</label>
<caption>
<p>The algorithm of the proposed Smart-SolE.</p>
</caption>
<graphic xlink:href="infor470_g004.jpg"/>
</fig>
</sec>
</sec>
</sec>
<sec id="j_infor470_s_008">
<label>4</label>
<title>Experimental Research Results</title>
<p>The proposed approach was implemented into the Smart-SolE prototype for evaluation and exam using the MATLAB/Simulink 2021 software. The buoys network at the Baltic Sea and Lithuanian coastal hydro-meteorological data<xref ref-type="fn" rid="j_infor470_fn_001">1</xref><fn id="j_infor470_fn_001"><label><sup>1</sup></label>
<p><uri>http://www.meteo.lt/lt/menesio-apzvalgu-archyvas</uri>.</p></fn> were used in the experiments. The buoys network solar module technical parameters are presented in Table <xref rid="j_infor470_tab_002">2</xref>.</p>
<table-wrap id="j_infor470_tab_002">
<label>Table 2</label>
<caption>
<p>“SAM-150P” solar module specification and electrical parameters.</p>
</caption>
<table>
<thead>
<tr>
<td style="vertical-align: top; text-align: left; border-top: solid thin; border-bottom: solid thin">Parameters</td>
<td style="vertical-align: top; text-align: left; border-top: solid thin; border-bottom: solid thin">Specification</td>
</tr>
</thead>
<tbody>
<tr>
<td style="vertical-align: top; text-align: left">Cells per module (NCell)</td>
<td style="vertical-align: top; text-align: left">36</td>
</tr>
<tr>
<td style="vertical-align: top; text-align: left">Maximum power per module (P<sub>mp</sub>)</td>
<td style="vertical-align: top; text-align: left">150 W</td>
</tr>
<tr>
<td style="vertical-align: top; text-align: left">Voltage of maximum power point (V<sub>mp</sub>)</td>
<td style="vertical-align: top; text-align: left">18.38 V</td>
</tr>
<tr>
<td style="vertical-align: top; text-align: left">Current at maximum power point (I<sub>mp</sub>)</td>
<td style="vertical-align: top; text-align: left">8.16 A</td>
</tr>
<tr>
<td style="vertical-align: top; text-align: left">Open circuit voltage (V<sub>oc</sub>)</td>
<td style="vertical-align: top; text-align: left">22.68 V</td>
</tr>
<tr>
<td style="vertical-align: top; text-align: left">Short-circuit current (I<sub>sc</sub>)</td>
<td style="vertical-align: top; text-align: left">8.62 A</td>
</tr>
<tr>
<td style="vertical-align: top; text-align: left; border-bottom: solid thin">Temperature coefficient of V<sub>oc</sub> and I<sub>sc</sub> (<inline-formula id="j_infor470_ineq_019"><alternatives><mml:math>
<mml:mi mathvariant="normal">%</mml:mi>
<mml:mo mathvariant="normal" stretchy="false">/</mml:mo>
<mml:mtext>°</mml:mtext>
<mml:mtext>C</mml:mtext></mml:math><tex-math><![CDATA[$\% /^\circ\text{C}$]]></tex-math></alternatives></inline-formula>)</td>
<td style="vertical-align: top; text-align: left; border-bottom: solid thin"><inline-formula id="j_infor470_ineq_020"><alternatives><mml:math>
<mml:mo>−</mml:mo>
<mml:mn>0.34</mml:mn>
<mml:mo mathvariant="normal" stretchy="false">/</mml:mo>
<mml:mo>+</mml:mo>
<mml:mn>0.08</mml:mn></mml:math><tex-math><![CDATA[$-0.34/+0.08$]]></tex-math></alternatives></inline-formula></td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The collected measurement data used in the experiments consists of two data sets as following: 1) a data set about weather conditions in the period of five years including four seasons<sup>1</sup> (temperature (°C), irradiation (W/m<sup>2</sup>)); and 2) a data set collected from the hydrographic buoy (irradiation (W/m<sup>2</sup>), temperature (°C), humidity (%), battery voltage (V)).</p>
<p>The Smart-SolE prototype simulated different operating conditions, i.e. various irradiation conditions depending on the seasons, and was tested to study its operation. We have examined three different working conditions as follows: 1) the high lighting conditions during the summer, when the average irradiation is 1042 W/m<sup>2</sup>, and the average air temperature is +17.9 °C; 2) the partial lighting conditions during the spring and autumn, when the average irradiation<sup>1</sup> is 970 W/m<sup>2</sup>, and the average air temperature is +9.7 °C; and 3) the least sunny conditions during the winter, when the average irradiation<sup>1</sup> is 538 W/m<sup>2</sup>, and the average air temperature is −1.1 °C. In this paper, we present the most interesting cases (i.e. the partial lighting (Fig. <xref rid="j_infor470_fig_005">5</xref>a) and the least sunny (Fig. <xref rid="j_infor470_fig_005">5</xref>b) conditions) as follows. In figures, the <italic>x</italic>-axis shows the time of battery charging in seconds; the <italic>y</italic>-axis presents the battery charging level in percentages. Note that initial battery charging level taken in the experiment is 45%.</p>
<fig id="j_infor470_fig_005">
<label>Fig. 5</label>
<caption>
<p>The battery charging level (%): a) partial shading conditions during the spring and autumn (I = 970 W/m<sup>2</sup>, T = +9.7 °C); b) the least sunny conditions during the winter (I = 538 W/m<sup>2</sup>, T = −1.1 °C).</p>
</caption>
<graphic xlink:href="infor470_g005.jpg"/>
</fig>
<fig id="j_infor470_fig_006">
<label>Fig. 6</label>
<caption>
<p>The inputs: a) PV voltage (I_PV) MFs; b) PV current (P_PV) MFs.</p>
</caption>
<graphic xlink:href="infor470_g006.jpg"/>
</fig>
<p>As can be seen from Fig. <xref rid="j_infor470_fig_006">6</xref>, in the least sunny period the battery charging speed is lower. Two inputs of the form of power and voltage data (PV array), i.e. system voltage (I_PV) and current (P_PV), are provided to ANFIS (Fig. <xref rid="j_infor470_fig_003">3</xref>).</p>
<p>Note that voltage, current and power in the measurement stage are labelled as V, I and P, respectively; and, in Smart-SolE, they are labelled as voltage (I_PV) and current (P_PV).</p>
<p>We present the result of prediction during the winter, since it is the least sunny period in the year. The inputs consist of 3 MFs each, and the MFs are of triangular nature. From the training data set, it is observed that the voltage parameters vary from 6 to 14 V (Fig. <xref rid="j_infor470_fig_006">6</xref>a) and the current parameters vary from 6 to 12 A (Fig. <xref rid="j_infor470_fig_006">6</xref>b).</p>
<p>According to the presented input (voltage and current), ANFIS predicts power (P<sup>*</sup>(W)), the MFs of which are presented in Fig. <xref rid="j_infor470_fig_007">7</xref>.</p>
<fig id="j_infor470_fig_007">
<label>Fig. 7</label>
<caption>
<p>The output Power (P<sup>*</sup>) MFs.</p>
</caption>
<graphic xlink:href="infor470_g007.jpg"/>
</fig>
<p>The relationships between two-input and one-output of ANFIS can be depicted by a 3-D plot. The surface model in Fig. <xref rid="j_infor470_fig_008">8</xref> represents the input–output dependency. The <italic>x</italic>-axis represents voltage (I_PV) (input 1), the <italic>y</italic>-axis is the current (P_PV) (input 2), and the <italic>z</italic>-axis is the value of power (output). How the output depends on the input is determined by the fuzzy rules (see the explanation below).</p>
<fig id="j_infor470_fig_008">
<label>Fig. 8</label>
<caption>
<p>The dependency between input (input 1 (I_PV), input 2 (P_PV)) and output Power (P<sup>*</sup>) parameters.</p>
</caption>
<graphic xlink:href="infor470_g008.jpg"/>
</fig>
<p>In this research, using two-input parameters with three fuzzy sets per input, FIS has produced a complete rule set of 9 (3<sup>2</sup>) rules in order to build an ANFIS model. It is important to note that the partition increase of the input space exponentially increases the number of rules that influence and enormously enlarge the speed of learning and application of the system. Therefore, an effective partition of the input should be found.</p>
<p>Some examples of the fuzzy rules are as follows:</p><graphic xlink:href="infor470_g009.jpg"/>
<p>The ANFIS settings for this study are presented in Table <xref rid="j_infor470_tab_003">3</xref>.</p>
<table-wrap id="j_infor470_tab_003">
<label>Table 3</label>
<caption>
<p>ANFIS training and testing settings.</p>
</caption>
<table>
<thead>
<tr>
<td style="vertical-align: top; text-align: left; border-top: solid thin; border-bottom: solid thin">Parameter</td>
<td style="vertical-align: top; text-align: left; border-top: solid thin; border-bottom: solid thin">Description/Value</td>
</tr>
</thead>
<tbody>
<tr>
<td style="vertical-align: top; text-align: left">Fuzzy structure/FIS training data</td>
<td style="vertical-align: top; text-align: left">Sugeno/genfis1</td>
</tr>
<tr>
<td style="vertical-align: top; text-align: left">FIS object generation</td>
<td style="vertical-align: top; text-align: left">grid partition on the data</td>
</tr>
<tr>
<td style="vertical-align: top; text-align: left">MF type of Input/MF type of Output</td>
<td style="vertical-align: top; text-align: left">trimf (triangular)/constant</td>
</tr>
<tr>
<td style="vertical-align: top; text-align: left">Number of inputs/outputs</td>
<td style="vertical-align: top; text-align: left">2/1</td>
</tr>
<tr>
<td style="vertical-align: top; text-align: left">Number of MFs associated with each input</td>
<td style="vertical-align: top; text-align: left">3</td>
</tr>
<tr>
<td style="vertical-align: top; text-align: left">Optimization method</td>
<td style="vertical-align: top; text-align: left">hybrid</td>
</tr>
<tr>
<td style="vertical-align: top; text-align: left">Training algorithm to model the training data</td>
<td style="vertical-align: top; text-align: left">least-squares and backpropagation gradient descent methods</td>
</tr>
<tr>
<td style="vertical-align: top; text-align: left">Maximum number of training epochs</td>
<td style="vertical-align: top; text-align: left">100</td>
</tr>
<tr>
<td style="vertical-align: top; text-align: left">Initial step size</td>
<td style="vertical-align: top; text-align: left">0.001</td>
</tr>
<tr>
<td style="vertical-align: top; text-align: left">Step size decrease rate/increase rate</td>
<td style="vertical-align: top; text-align: left">0.9/2</td>
</tr>
<tr>
<td style="vertical-align: top; text-align: left; border-bottom: solid thin">Data for training/data for testing</td>
<td style="vertical-align: top; text-align: left; border-bottom: solid thin">70/30</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Figures <xref rid="j_infor470_fig_009">9</xref> and <xref rid="j_infor470_fig_010">10</xref> present the results of dataset processing by ANFIS during the winter. We have used 70/30 ratio for the training and testing.</p>
<fig id="j_infor470_fig_009">
<label>Fig. 9</label>
<caption>
<p>The output of P<sup>*</sup> after processing in ANFIS – results of training.</p>
</caption>
<graphic xlink:href="infor470_g010.jpg"/>
</fig>
<p>As can be seen, P<italic>*</italic> becomes more accurate after training, i.e. during training the coefficient of determination is <inline-formula id="j_infor470_ineq_021"><alternatives><mml:math>
<mml:msup>
<mml:mrow>
<mml:mi mathvariant="italic">R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mo>=</mml:mo>
<mml:mn>0.3956</mml:mn></mml:math><tex-math><![CDATA[${R^{2}}=0.3956$]]></tex-math></alternatives></inline-formula>, during testing <inline-formula id="j_infor470_ineq_022"><alternatives><mml:math>
<mml:msup>
<mml:mrow>
<mml:mi mathvariant="italic">R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mo>=</mml:mo>
<mml:mn>0.8371</mml:mn></mml:math><tex-math><![CDATA[${R^{2}}=0.8371$]]></tex-math></alternatives></inline-formula>. <inline-formula id="j_infor470_ineq_023"><alternatives><mml:math>
<mml:msup>
<mml:mrow>
<mml:mi mathvariant="italic">R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msup></mml:math><tex-math><![CDATA[${R^{2}}$]]></tex-math></alternatives></inline-formula> describes the degree of association between experimental data and those obtained by the model. In the case of <inline-formula id="j_infor470_ineq_024"><alternatives><mml:math>
<mml:msup>
<mml:mrow>
<mml:mi mathvariant="italic">R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn></mml:math><tex-math><![CDATA[${R^{2}}=1$]]></tex-math></alternatives></inline-formula>, the model has an exact correspondence to the experimental data. Accordingly, our testing results show high match to the obtained theoretical model during training.</p>
<p>After the training is complete, the performance of ANFIS is determined using MSE = 0.0032 (Eq. (<xref rid="j_infor470_eq_006">6</xref>)). This small MSE shows the close finding to the line of best fit.</p>
<fig id="j_infor470_fig_010">
<label>Fig. 10</label>
<caption>
<p>The output of P<sup>*</sup> after processing in ANFIS – results of testing.</p>
</caption>
<graphic xlink:href="infor470_g011.jpg"/>
</fig>
<p>Those ANFIS results P<italic>*</italic> are transferred to the Energy Planning Component to make a decision for data transferring to Decision Support Subsystem. The Energy Planning Component based on the input data from ANFIS (P<italic>*</italic>) and Data Storage (P, I_PV, P_PV) decides whether to send the data. The decision mechanism is the rule-based and presented by the decision tree in Fig. <xref rid="j_infor470_fig_011">11</xref>.</p>
<fig id="j_infor470_fig_011">
<label>Fig. 11</label>
<caption>
<p>The decision tree used in the energy planning component.</p>
</caption>
<graphic xlink:href="infor470_g012.jpg"/>
</fig>
<p>According to the predefined rules, the current power P is estimated based on ANFIS predictions, i.e. the current power level is determined to be high, medium, or low. The battery charging level for making the decision is chosen 25%, because this level is critical ensuring the data transfer and further operation of the entire system after the data transfer.</p>
<p>The snapshot of the obtained decision-making results is presented in Table <xref rid="j_infor470_tab_004">4</xref>.</p>
<table-wrap id="j_infor470_tab_004">
<label>Table 4</label>
<caption>
<p>An example of the obtained decision-making results with the proposed approach (1 – transfer the data, 0 – terminate the data transfer).</p>
</caption>
<table>
<thead>
<tr>
<td style="vertical-align: top; text-align: left; border-top: solid thin; border-bottom: solid thin">P</td>
<td style="vertical-align: top; text-align: left; border-top: solid thin; border-bottom: solid thin">P<sup>*</sup></td>
<td style="vertical-align: top; text-align: left; border-top: solid thin; border-bottom: solid thin">Battery</td>
<td style="vertical-align: top; text-align: left; border-top: solid thin; border-bottom: solid thin">Signal</td>
</tr>
</thead>
<tbody>
<tr>
<td style="vertical-align: top; text-align: left">41</td>
<td style="vertical-align: top; text-align: left">Low</td>
<td style="vertical-align: top; text-align: left">25%</td>
<td style="vertical-align: top; text-align: left">0</td>
</tr>
<tr>
<td style="vertical-align: top; text-align: left">47</td>
<td style="vertical-align: top; text-align: left">High</td>
<td style="vertical-align: top; text-align: left">55%</td>
<td style="vertical-align: top; text-align: left">1</td>
</tr>
<tr>
<td style="vertical-align: top; text-align: left">50</td>
<td style="vertical-align: top; text-align: left">Moderate</td>
<td style="vertical-align: top; text-align: left">70%</td>
<td style="vertical-align: top; text-align: left">1</td>
</tr>
<tr>
<td style="vertical-align: top; text-align: left">20</td>
<td style="vertical-align: top; text-align: left">Moderate</td>
<td style="vertical-align: top; text-align: left">42%</td>
<td style="vertical-align: top; text-align: left">1</td>
</tr>
<tr>
<td style="vertical-align: top; text-align: left">36</td>
<td style="vertical-align: top; text-align: left">Low</td>
<td style="vertical-align: top; text-align: left">36%</td>
<td style="vertical-align: top; text-align: left">1</td>
</tr>
<tr>
<td style="vertical-align: top; text-align: left">45</td>
<td style="vertical-align: top; text-align: left">Moderate</td>
<td style="vertical-align: top; text-align: left">7%</td>
<td style="vertical-align: top; text-align: left">0</td>
</tr>
<tr>
<td style="vertical-align: top; text-align: left; border-bottom: solid thin">58</td>
<td style="vertical-align: top; text-align: left; border-bottom: solid thin">High</td>
<td style="vertical-align: top; text-align: left; border-bottom: solid thin">24%</td>
<td style="vertical-align: top; text-align: left; border-bottom: solid thin">1</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The major challenge for the proposed approach and its implementation is the collection of reliable data and the ability to cope with very fast changing environmental conditions. The usage of ANFIS for Smart-SolE demonstrates flexibility of the data transfer according to different environmental conditions, like shading and seasonality.</p>
</sec>
<sec id="j_infor470_s_009">
<label>5</label>
<title>Discussion</title>
<p>The analysis of the related works showed that marine monitoring systems, combined with AI and IoT components for the data collection, processing, transmission and overall systems operation, become more accurate and flexible. Existing approaches are utilizing ANFIS for solar energy planning in different application domains and purposes. The review of the found and analysed smart buoy systems shows that authors mainly emphasize data transmission using IoT of buoys, rather than incorporating smart solar energy planning in buoys. Therefore, we emphasize on more detailed level of smart solar energy planning in buoys.</p>
<p>In this paper, the smart fuzzy inference based solar energy planning and control component (Smart-SolE) for coastal marine water monitoring has been developed and examined to validate its performance. The advantage and uniqueness of the proposed approach is that we establish an ANFIS-based model to predict and control solar energy for different lighting and temperature conditions depending on the four seasons in the Baltic Sea region in the coastal waters of Lithuania. The proposed model has been implemented in a smart fuzzy coastal marine water monitoring system (Smart-SolE) for estimation of a current power of a solar battery, lighting and temperature conditions and to make a decision using the proposed decision tree to transfer the data collected by a buoy to the Decision Support Subsystem. During the experimental research it was observed that air temperature, solar irradiance and their ratio change similarly in spring and autumn; therefore, those two seasons were combined in the experiments of the proposed approach. However, the proposed approach is universal and can be used in other regions with different seasonality, only by adapting the specific solar energy supply weather conditions for recognizing the specific working modes of solar energy supply.</p>
<p>The study shows that ANFIS is a suitable artificial intelligence model for solar energy planning and control in the coastal marine water monitoring area. The obtained accuracy of the testing is <inline-formula id="j_infor470_ineq_025"><alternatives><mml:math>
<mml:msup>
<mml:mrow>
<mml:mi mathvariant="italic">R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mo>=</mml:mo>
<mml:mn>0.8371</mml:mn></mml:math><tex-math><![CDATA[${R^{2}}=0.8371$]]></tex-math></alternatives></inline-formula> that shows high match to the obtained theoretical model during training. The performance of ANFIS is MSE = 0.0032, which shows the close finding to the line of best fit.</p>
<p>This research focused on the use of Smart-SolE for coastal marine water monitoring, limiting research on other components, like detailed buoys’ physical characteristics, more detailed solar energy generation data and solar battery charging data. More real data is necessary for investigation. Moreover, the issues of the assessment of coastal marine water quality remain in our future plans. Based on these observations, further questions were raised regarding applying of artificial intelligence for improvement and extension of the decision-making component and making it smarter and more independent of user’s intervention.</p>
</sec>
<sec id="j_infor470_s_010">
<label>6</label>
<title>Conclusions</title>
<p>Extensive human intervention into nature and increasing environmental pollution have increased the need to study and monitor adverse effects on marine waters. In order to solve the coastal marine water monitoring tasks, different marine water monitoring systems are proposed. Nowadays, new technologies, like IoT and machine learning, allow us to improve and extend functionality of remote marine monitoring. However, the topic of intelligent solar energy (or irradiation) systems for marine quality monitoring remains insufficiently examined. In this research, the approach for solar energy implementation in remote control monitoring system of buoys was proposed. The main focus is the development of the Smart-SolE reasoning component that is integrated into the entire Smart-MarineM. The novelty of Smart-SolE is the use of an ANFIS-based model, which enables more adaptable and continuous work of buoys in coastal marine monitoring processes.</p>
<p>From the study, based on the obtained accuracy, it was determined that ANFIS is a suitable AI model for solar energy planning and control in the coastal marine monitoring area. However, additional investigations with consideration of the buoys’ physical characteristics, communication protocols, and more detailed analysis of solar battery charging process are necessary.</p>
</sec>
</body>
<back>
<ack id="j_infor470_ack_001">
<title>Acknowledgements</title>
<p>The authors thank Dr. Darius Daunys, Vice-Rector for Research and Innovation of Klaipėda University, and Dr. Toma Dabulevičienė, researcher at Marine Research Institute of Klaipėda University, for kind sharing of the technical specification and collected measurement data of their hydrographic buoy.</p></ack>
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