Informatica logo


Login Register

  1. Home
  2. Issues
  3. Volume 31, Issue 1 (2020)
  4. IoT Devices Signals Processing Based on ...

Informatica

Information Submit your article For Referees Help ATTENTION!
  • Article info
  • Full article
  • Related articles
  • Cited by
  • More
    Article info Full article Related articles Cited by

IoT Devices Signals Processing Based on Shepard Local Approximation Operators Defined in Riesz MV-Algebras
Volume 31, Issue 1 (2020), pp. 131–142
Dan Noje   Ioan Dzitac   Nicolae Pop   Radu Tarca  

Authors

 
Placeholder
https://doi.org/10.15388/20-INFOR395
Pub. online: 23 March 2020      Type: Research Article      Open accessOpen Access

Received
1 November 2018
Accepted
1 October 2019
Published
23 March 2020

Abstract

The Industry 4.0 and smart city solutions are impossible to be implemented without using IoT devices. There can be several problems in acquiring data from these IoT devices, problems that can lead to missing values. Without a complete set of data, the automation of processes is not possible or is not satisfying enough. The aim of this paper is to introduce a new algorithm that can be used to fill in the missing values of signals sent by IoT devices. In order to do that, we introduce Shepard local approximation operators in Riesz MV-algebras for one variable function and we structure the set of possible values of the IoT devices signals as Riesz MV-algebra. Based on these local approximation operators we define a new algorithm and we test it to prove that it can be used to fill in the missing values of signals sent by IoT devices.

References

 
Bede, B., Di Nola, A. (2004). Elementary calculus in Riesz MV-algebras. International Journal of Approximate Reasoning, 36, 129–149.
 
Bittner, K. (2002). Direct and inverse approximation theorems for local trigonometric bases. Journal of Approximation Theory, 117, 74–102.
 
Chang, C.C. (1958). Algebraic analysis of many valued logics. Transactions of the American Mathematical Society, 88, 467–490.
 
Chang, C.C. (1959). A new proof of the completeness of the Lukasiewicz axioms. Transactions of the American Mathematical Society, 93, 74–80.
 
Di Nola, A., Flondor, P., Leustean, I. (2003). MV-modules. Journal of Algebra, 261, 21–40.
 
González, R.C., Woods, R.E. (2008). Digital Image Processing. Prentice Hall.
 
Heinis, T., Martinho, C.G., Meboldt, M. (2017). Fundamental challenges in developing Internet of things applications for engineers and product designers. In: Conference: 21st International Conference on Engineering Design, ICED17, pp. 279–288.
 
Johnson, D.H. (2019). Signal-to-noise ratio. https://doi.org/10.4249/scholarpedia.2088. Available online: http://www.scholarpedia.org/article/Signal-to-noise_ratio (accessed on 1 July 2019).
 
Jun-Bao, L., Shu-Chuan, C., Jeng-Shyang, P. (2014). Kernel Learning Algorithms for Face Recognition. Springer, New York.
 
Kamienski, C., Jentsch, M., Eisenhauer, M., Kiljander, J., Ferrera, E., Rosengrene, P., Thestrup, J., Souto, E., Andrade, W.S., Sadok, D. (2017). Application development for the Internet of things: a context-aware mixed criticality systems development platform. Computer Communications, 104, 1–16.
 
Lazzaro, D., Montefusco, L.B. (2002). Radial basis functions for the multi-variate interpolation of large scattered data sets. Journal of Computational and Applied Mathematics, 140, 521–536.
 
Leturiondo, U., Salgado, O., Cianic, L., Galarb, D., Catelanic, M. (2017). Architecture for hybrid modelling and its application to diagnosis and prognosis with missing data. Measurement, 108, 152–162.
 
Noje, D. (2002). Using Bernstein polynomials for image zooming. In: Proceedings of the Symposium Zilele Academice Clujene, Computer Science Section, pp. 99–102.
 
Noje, D., Bede, B. (2001). The MV-algebra structure of RGB model. Studia Universitatis Babes-Bolyai, Informatica, 56(1), 77–86.
 
Noje, D., Bede, B. (2003). Vectorial MV-algebras. Soft Computing, 7(4), 258–262.
 
Noje, D., Bede, B., Kos, V. (2003). Image contrast modifiers using vectorial MV-algebras. In: Proceedings of the 11th Conference on Applied and Industrial Mathematics Vol. 2, pp. 32–35.
 
Noje, D., Tarca, R., Dzitac, I., Pop, N. (2019). IoT devices signals processing based on multi-dimensional shepard local approximation operators in Riesz MV-algebras. International Journal of Computers Communications & Control, 14(1), 56–62.
 
Rajeshwari, R., Rao, B.V. (2008). Signals and Systems. PHI Learning Pvt. Ltd.
 
Renka, R.J. (1988a). Multivariate interpolation of large sets of scattered data. ACM Transactions on Mathematical Software, 14(2), 139–148.
 
Renka, R.J. (1988b). Algorithm 660 QSHEP2D: quadratic shepard method for bivariate interpolation of scattered data. ACM Transactions on Mathematical Software, 14(2), 149–150.
 
Renka, R.J. (1988c). Algorithm 661 QSHEP3D: quadratic shepard method for trivariate interpolation of scattered data. ACM Transactions on Mathematical Software, 14(2), 151–152.
 
Ruan, W., Xu, P., Sheng, Q.Z., Falkner, N.J.G., Li, X., Zhang, W.E. (2017). Recovering Missing Values from Corrupted Spatio-Temporal Sensory Data via Robust Low-Rank Tensor Completion, Database Systems for Advanced Applications, DASFAA, 2017. Lecture Notes in Computer Science, Vol. 10177. Springer, Cham.
 
Shepard, D.D. (1968). A two dimensional interpolation function for irregularly spaced data. In: Proceedings of 23rd Natiobal Conference ACM, pp. 517–524.
 
Wollschlaeger, M., Sauter, T., Jasperneite, J. (2017). The future of industrial communication: automation networks in the era of the Internet of things and industry 4.0. IEEE Industrial Electronics Magazine, 11(1), 17–27.
 
Xiaodan, X., Bohu, L. (2001). A unified framework of multiple kernels learning for hyperspectral remote sensing big data. Journal of Information Hiding and Multimedia Signal Processing, 7(2), 296–303.
 
Xiuyuan, C., Xiyuan, P., Jun-Bao, L., Yu, P. (2016). Overview of deep kernel learning based techniques and applications. Journal of Network Intelligence, 1(3), 82–97.
 
Xu, P., Ruan, W., Sheng, Q.Z., Gu, T., Yao, L. (2017). Interpolating the missing values for multi-dimensional spatial-temporal sensor data: a tensor SVD approach. In: Proceedings of the 14th EAI International Conference on Mobile and Ubiquitous Systems: Computing, Networking and Services, Melbourne, VIC, Australia, November 7–10, 2017 (MobiQuitous 2017).
 
Zhao, L., Zheng, F. (2017). Missing data reconstruction using adaptively updated dictionary in wireless sensor networks. In: Proceedings of Science CENet, 040.
 
Zuppa, C. (2004). Error estimates for modified local Shepard’s interpolation formula. Applied Numerical Mathematics, 49, 245–259.
 
www: Plattform Industrie 4.0 (2016). Aspects of the research roadmap in application scenarios. Federal Ministry for Economic Affairs and Energy, Berlin, Germany. Available online: https://www.plattform-I40.de/I40/Redaktion/eN/Downloads/Publikation/aspects-of-the-research-roadmap.html (accessed on 1 October 2018).

Biographies

Noje Dan
dan.noje@primus-tech.ro

D. Noje received his BSc (eq.MSc) in mathematics and informatics (1996) and MSc in mathematics (1997) from University of Oradea. He was a lecturer at University of Oradea between 1996 and 2016. Since 2016 he is the head of Research Department of Primus Technologies SRL. His current research focus is on IoT, artificial inteligence, innovation and technology transfer. He has published 3 books and 25 scientific papers. He is a member of the EUSDR PA8 Working Group Innovation and Technology Transfer.

Dzitac Ioan
ioan@dzitac.ro

I. Dzitac received his BSc (eq.MSc) in mathematics (1977) and PhD in information sciences (2002) from Babes-Bolyai University of Cluj-Napoca. In 2019 he has defended his Habilitation Thesis “Soft Computing for Decision Making” at Alexandru Ioan Cuza University of Iasi. He is a mathematics and information sciences professor at Agora University of Oradea (since 2017) and at Aurel Vlaicu University of Arad (since 2009). Also he is a PhD supervisor at University of Craiova. He was an adjunct professor at University of Chinese Academy of Sciences, Beijing, China (2013–2016) and since 2016 he is an advisory board member at Graduate School of Management of Technology, Hoseo University, South Korea. His current research interests include different aspects of artificial intelligence, soft computing and applications of fuzzy logic in economy (decision making, quantitative management, qualitative management, e-learning platforms management, etc.). He is a senior member of IEEE (since 2011), member of Publication Committee of International Academy of Information Technology and Quantitative Management (IAITQM, since 2014), etc. He was an invited/tutorial speaker and/or invited special sessions’ organizer and chairman in China (2013: Beijing, Suzhou and Chengdu, 2015: Dalian, 2016: Beijing), India (2014: Madurai, 2017: Delhi), Russia (2014: Moscow), Brazil (2015: Rio), Lithuania (2015: Druskininkai), South Korea (2016: Asan), USA (2018: Nebraska). He has published 3 books, 12 courses and materials for students, 6 proceedings and more than 80 scientific papers in journals and conferences’ proceedings (over 40 in ISI Web of Science indexed journals with over 200 citations). In Google Scholar he has over 510 citations.

Pop Nicolae
nicpop@gmail.com

N. Pop received his BSc (eq.MSc) in mathematics (1973) from West University of Timisoara, Romania and PhD in mathematics (1997) from Babes-Balyai University of Cluj-Napoca, Romania. In 2016 he has defended his habilitation thesis at School of Advanced Studies of the Romanian Academy, Bucharest. He is a professor emeritus Dr. at North University Center, Baia Mare, in Technical University of Cluj-Napoca, Romania, and a senior researcher at the Institute of Solid Mechanics of the Romanian Academy, Bucharest, Department of Robotics & Mechatronics. He is a specialist in variational analysis and numerical methods for frictional contact problems in elasticity and in solving partial differential equations; in methods control in dynamic systems and piecewise-smooth dynamical systems with friction, with applications in robotics; in stability, balance, optimal control and tracking of mobile robot trajectories; in advanced robotics intelligent control research and solid mechanics integrated into the versatile, intelligent, and portable robot platform. He has published many research papers and books that have an international reputation.

Tarca Radu
rtarca@uoradea.ro

R. Tarca received his BSc (eq.MSc) “cum laudae” in mechanical engineering (1992) from Technical University of Cluj Napoca, and Bachelor in Economics from University of Oradea. He received his PhD title “cum laudae” in robotics (2001) from University Politehnica Timisoara. He received his professor title in robotics in 2004. From 2004 to 2016, he was the head of Mechatronics Department, and from 2008 he is a Co-Chairholder of the UNESCO chair in Information Technologies at the University of Oradea. He is the director of the “PRODUCTICA IMT” Research Centre since 2007. Currently he is the director of the council for doctoral studies at the University of Oradea. He has published over 150 papers in international journals and conferences’ proceedings and he has coordinated seven national and international grants as a project manager. His current research interests include aspects related to robotics, sensors and artificial intelligence.


Full article Related articles Cited by PDF XML
Full article Related articles Cited by PDF XML

Copyright
© 2020 Vilnius University
by logo by logo
Open access article under the CC BY license.

Keywords
IoT devices signal processing Shepard local approximation operators local approximation operators approximation algorithms Riesz MV-algebras vectorial MV-algebras

Funding
This research was funded by UEFISCDI Romania, grant number 198PED /2017, grant code: PN-III-P2-2.1-PED-2016-1955. With this grant, a new fiber optic Bragg grating sensor system designed to monitor the ethanol fermentation during the bioethanol and wine production was developed.

Metrics
since January 2020
2163

Article info
views

683

Full article
views

802

PDF
downloads

261

XML
downloads

Export citation

Copy and paste formatted citation
Placeholder

Download citation in file


Share


RSS

INFORMATICA

  • Online ISSN: 1822-8844
  • Print ISSN: 0868-4952
  • Copyright © 2023 Vilnius University

About

  • About journal

For contributors

  • OA Policy
  • Submit your article
  • Instructions for Referees
    •  

    •  

Contact us

  • Institute of Data Science and Digital Technologies
  • Vilnius University

    Akademijos St. 4

    08412 Vilnius, Lithuania

    Phone: (+370 5) 2109 338

    E-mail: informatica@mii.vu.lt

    https://informatica.vu.lt/journal/INFORMATICA
Powered by PubliMill  •  Privacy policy