A Single Valued Neutrosophic Extension of the Simple WISP Method

Stanujkic, Dragisa; Karabasevic, Darjan; Popovic, Gabrijela; Smarandache, Florentin; Stanimirović, Predrag S.; Saračević, Muzafer; Katsikis, Vasilios N.

doi:10.15388/22-INFOR483

Informatica

A Single Valued Neutrosophic Extension of the Simple WISP Method

Volume 33, Issue 3 (2022), pp. 635–651

Dragisa Stanujkic

Darjan Karabasevic

Gabrijela Popovic Florentin Smarandache

Predrag S. Stanimirović

Muzafer Saračević

Vasilios N. Katsikis

https://doi.org/10.15388/22-INFOR483

Pub. online: 4 May 2022 Type: Research Article

Open Access

Received
1 November 2021

Accepted
1 April 2022

Published
4 May 2022

Abstract

An extension of the Integrated Simple Weighted Sum Product (WISP) method is presented in this article, customized for the application of single-valued neutrosophic numbers. The extension is suggested to take advantage that the application of neutrosophic sets provides in terms of solving complex decision-making problems, as well as decision-making problems associated with assessments, prediction uncertainty, imprecision, and so on. In addition, an adapted questionnaire and appropriate linguistic variables are also proposed in the article to enable a simpler and more precise collection of respondents’ attitudes using single-valued neutrosophic numbers. An approach for deneutrosophication, i.e. the transformation of a single-valued neutrosophic number into a crisp number is also proposed in the article. Detailed use and characteristics of the presented improvement are shown on an example of the evaluation of rural tourist tours.

References

Abdel-Basset, M., Gamal, A., Manogaran, G., Son, L.H., Long, H.V. (2020). A novel group decision making model based on neutrosophic sets for heart disease diagnosis. Multimedia Tools and Applications, 79(15), 9977–10002.

Ahmad, U. (2016). Application of multiple criteria decision making techniques in tourism and hospitality industry: a systematic review. Transformations in Business & Economics, 15(1), 37.

Alptekin, G.I., Büyüközkan, G. (2011). An integrated case-based reasoning and MCDM system for Web based tourism destination planning. Expert Systems with Applications, 38(3), 2125–2132.

Ansari, A.Q., Biswas, R., Aggarwal, S. (2011). Proposal for applicability of neutrosophic set theory in medical AI. International Journal of Computer Applications, 27(5), 5–11.

Ardil, C., Pashaev, A.M., Sadiqov, R.A., Abdullayev, P. (2021). Multiple criteria decision making analysis for selecting and evaluating fighter aircraft. International Journal of Transport and Vehicle Engineering, 13(11), 683–694.

Atanassov, K.T. (1986). Intuitionistic fuzzy sets. Fuzzy sets and systems, 20(1), 87–96.

Bera, T., Mahapatra, N.K. (2021). Ranking of thermal power plants focusing on air pollution: a neutrosophic assessment. Journal of Cleaner Production, 316, 128250.

Biswas, P., Pramanik, S., Giri, B.C. (2016). TOPSIS method for multi-attribute group decision-making under single-valued neutrosophic environment. Neural computing and Applications, 27(3), 727–737.

Brans, J.P. (1982). Língénierie de la décision. Elaboration dínstruments dáide à la décision. Méthode PROMETHEE. In: Nadeau, R., Landry, M. (Eds.), L´aide a la Décision: Nature, Instruments et Perspectives d´avenir. Presses de l´Université, Laval, Québec, Canada, pp. 183–214.

Garg, H. (2020a). Decision making analysis based on sine trigonometric operational laws for single-valued neutrosophic sets and their applications. Applied and Computational Mathematics, 19(2), 255–276.

Garg, H. (2020b). Multiple attribute decision making based on immediate probabilities aggregation operators for single-valued and interval neutrosophic sets. Journal of Applied Mathematics and Computing, 63(1), 619–653.

Garg, H. (2020c). Novel neutrality aggregation operators-based multiattribute group decision making method for single-valued neutrosophic numbers. Soft Computing, 24(14), 10327–10349.

Garg, H. (2022). SVNMPR: a new single-valued neutrosophic multiplicative preference relation and their application to decision-making process. International Journal of Intelligent Systems, 37(3), 2089–2130.

Gebrezgabher, S.A., Meuwissen, M.P., Lansink, A.G.O. (2014). A multiple criteria decision making approach to manure management systems in the Netherlands. European Journal of Operational Research, 232(3), 643–653.

Genç, T., Filipe, J.A. (2016). A fuzzy MCDM approach for choosing a tourism destination in Portugal. International Journal of Business and Systems Research, 10(1), 23–44.

Hosseini, S.M., Paydar, M.M. (2022). Examining and prioritizing the factors affecting tourist absorption for ecotourism centers utilizing MCDM tools. Journal of Optimization in Industrial Engineering, 15(1), 17–30.

Hwang, C.L., Yoon, K. (1981). Multiple Attribute Decision Making Methods and Applications. Springer-Verlag, Berlin.

Kahraman, C., Oztaysi, B., Cevik Onar, S. (2020). Single & interval-valued neutrosophic AHP methods: performance analysis of outsourcing law firms. Journal of Intelligent & Fuzzy Systems, 38(1), 749–759.

Keršulienė, V., Zavadskas, E.K., Turskis, Z. (2010). Selection of rational dispute resolution method by applying new step-wise weight assessment ratio analysis (SWARA). Journal of Business Economics and Management, 11(2), 243–258.

Keshavarz Ghorabaee, M., Zavadskas, E.K., Olfat, L., Turskis, Z. (2015). Multi-criteria inventory classification using a new method of Evaluation Based on Distance from Average Solution (EDAS). Informatica, 26(3), 435–451.

Levy, J.K. (2005). Multiple criteria decision making and decision support systems for flood risk management. Stochastic Environmental Research and Risk Assessment, 19(6), 438–447.

Li, Y., Liu, P., Chen, Y. (2016). Some single valued neutrosophic number heronian mean operators and their application in multiple attribute group decision making. Informatica, 27(1), 85–110.

MacCrimon, K.R. (1968). Decision Making among Multiple Attribute Alternatives: A Survey and Consolidated Approach. Rand memorandum. RM-4823-ARPA.

Meng, F., Tang, J., Zhang, S., Xu, Y. (2020). Public-private partnership decision making based on correlation coefficients of single-valued neutrosophic hesitant fuzzy sets. Informatica, 31(2), 359–397.

Özdağoğlu, A., Keleş, M.K., nata A, A., Ulutaş, A. (2021). Combining different MCDM methods with the Copeland method: an investigation on motorcycle selection. Journal of Process Management and New Technologies, 9(3–4), 13–27.

Peng, K.H., Tzeng, G.H. (2012). Strategies for promoting tourism competitiveness using a hybrid MCDM model. In: Intelligent Decision Technologies. Springer, Berlin, Heidelberg, pp. 107–115.

Popovic, G., Stanujkic, D., Mimovic, P., Milovanovic, G., Karabasevic, D., Brzakovic, P., Brzakovic, A. (2021). An integrated SWOT–extended PIPRECIA model for identifying key determinants of tourism development: the case of Serbia. Acta Geographica Slovenica, 61(2), 23–40.

Popovic, M. (2021). An MCDM approach for personnel selection using the CoCoSo method. Journal of Process Management and New Technologies, 9(3–4), 78–88.

Qin, Y., Qi, Q., Shi, P., Scott, P.J., Jiang, X. (2020). Novel operational laws and power Muirhead mean operators of picture fuzzy values in the framework of Dempster–Shafer theory for multiple criteria decision making. Computers & Industrial Engineering, 149, 106853.

Rani, P., Ali, J., Krishankumar, R., Mishra, A.R., Cavallaro, F., Ravichandran, K.S. (2021). An integrated single-valued neutrosophic combined compromise solution methodology for renewable energy resource selection problem. Energies, 14(15), 4594.

Rezaei, J. (2015). Best-worst multi-criteria decision-making method. Omega, 53, 49–57.

Romania-tours Available online: https://www.viator.com/Romania-tours/Nature-and-Wildlife/ (accessed on 29 September 2021).

Roy, B. (1968). Classement et choix en présence de points de vue multiples. Revue franiaise d’informatique et de recherche opérationnelle, 2(8), 57–75.

Ryglova, K., Rasovska, I., Sacha, J. (2017). Rural tourism-evaluating the quality of destination. European Countryside, 9(4), 769–788.

Saaty, T.L. (1977). A scaling method for priorities in hierarchical structures. Journal of Mathematical Psychology, 15(3), 234–281.

Saaty, L.T. (1980). The Analytic Hierarchy Process. McGraw Hill Company, New York, NY, USA.

Sahin, R. (2014). Multi-criteria neutrosophic decision making method based on score and accuracy functions under neutrosophic environment. Preprint. arXiv:1412.5202.

Smarandache, F. (1998). Neutrosophy Probability Set and Logic. American Research Press, Rehoboth.

Smarandache, F. (1999). A Unifying Field in Logics. Neutrosophy: Neutrosophic Probability, Set and Logic. American Research Press, Rehoboth.

Smarandache, F. (2005). Neutrosophic set-a generalization of the intuitionistic fuzzy set. International Journal of Pure and Applied Mathematics, 24(3), 287.

Smarandache, F. (2020). The score, accuracy, and certainty functions determine a total order on the set of neutrosophic triplets (T, I, F). Neutrosophic Sets and Systems, 38(1), 1–14.

Stanujkic, D., Zavadskas, K.E., Tamošaitienė, J. (2015). An approach to measuring website quality in the rural tourism industry based on Atanassov intuitionistic fuzzy sets. E+M Ekonomie a Management, 18(4), 461–470.

Stanujkic, D., Zavadskas, E.K., Karabasevic, D., Smarandache, F., Turskis, Z. (2017a). The use of the pivot pairwise relative criteria importance assessment method for determining the weights of criteria. Romanian Journal of Economic Forecasting, 20, 116–133.

Stanujkic, D., Zavadskas, E.K., Karabasevic, D., Turskis, Z., Keršulienė, V. (2017b). New group decision-making ARCAS approach based on the integration of the SWARA and the ARAS methods adapted for negotiations. Journal of Business Economics and Management, 18(4), 599–618.

Stanujkic, D., Zavadskas, E.K., Smarandache, F., Brauers, W.K., Karabasevic, D. (2017c). A neutrosophic extension of the MULTIMOORA method. Informatica, 28(1), 181–192.

Stanujkic, D., Karabasevic, D., Smarandache, F., Zavadskas, E.K., Maksimovic, M. (2019). An innovative approach to evaluation of the quality of websites in the tourism industry: a novel MCDM approach based on bipolar neutrosophic numbers and the hamming distance. Transformations in Business & Economics, 18, 1(46), 149–162.

Stanujkic, D., Karabasevic, D., Smarandache, F., Popovic, G. (2020). A novel approach for assessing the reliability of data contained in a single valued neutrosophic number and its application in multiple criteria decision making. International Journal of Neutrosophic Science, 11(1), 22–29.

Stanujkic, D., Popovic, G., Karabasevic, D., Meidute-Kavaliauskiene, I., Ulutaş, A. (2021). An Integrated Simple Weighted Sum Product Method – WISP. In: IEEE Transactions on Engineering Management, 1–12.

True-Romania Available online: https://true-romania.tours/rural-tourism/ (accessed on 27 September 2021).

Turksen, I.B. (1986). Interval valued fuzzy sets based on normal forms. Fuzzy Sets and Systems, 20(2), 191–210.

Wang, H., Smarandache, F., Zhang, Y., Sunderraman, R. (2010). Single valued neutrosophic sets. Review of the Air Force Academy, 1(16), 10–14.

Xu, D., Wei, X., Ding, H., Bin, H. (2020). A new method based on PROMETHEE and TODIM for multi-attribute decision-making with single-valued neutrosophic sets. Mathematics, 8(10), 1816.

Yazdani, M., Zarate, P., Zavadskas, E.K., Turskis, Z. (2018). A Combined Compromise Solution (CoCoSo) method for multi-criteria decision-making problems. Management Decision, 57(3), 2501–2519.

Zadeh, L.A. (1965). Fuzzy sets. Information and Control, 8(3), 338–353.

Zavadskas, E.K., Turskis, Z. (2010). A new additive ratio assessment (ARAS) method in multicriteria decision making. Technological and Economic Development of Economy, 16(2), 159–172.

Zavadskas, E.K., Turskis, Z., Antucheviciene, J., Zakarevicius, A. (2012). Optimization of weighted aggregated sum product assessment. Elektronika ir elektrotechnika, 122(6), 3–6.

Zavadskas, E.K., Baušys, R., Lazauskas, M. (2015). Sustainable assessment of alternative sites for the construction of a waste incineration plant by applying WASPAS method with single-valued neutrosophic set. Sustainability, 7(12), 15923–15936.

Zhang, C., Li, D., Broumi, S., Sangaiah, A.K. (2018). Medical diagnosis based on single-valued neutrosophic probabilistic rough multisets over two universes. Symmetry, 10(6), 213.

Biographies

Stanujkic Dragisa

https://orcid.org/0000-0002-6846-3074

dstanujkic@tfbor.bg.ac.rs

D. Stanujkic is an associate professor of information technology at the Technical Faculty in Bor, University of Belgrade. He has received his MSc degree in information science and PhD in organizational sciences from the Faculty of Organizational Sciences, University of Belgrade. His current research is focused on decision-making theory, expert systems and intelligent decision support systems.

Karabasevic Darjan

https://orcid.org/0000-0001-5308-2503

karabasevic@mef.edu.rs

D. Karabasevic is an assistant professor at the Faculty of Applied Management, Economics and Finance, University Business Academy in Novi Sad. He obtained his degrees at all the levels of studies (BSc appl. in economics, BSc in economics, academic specialization in the management of business information systems and PhD in management and business) at the Faculty of Management in Zajecar, John Naisbitt University, Belgrade. His current research is focused on the human resource management, management and decision-making theory.

Popovic Gabrijela

gabrijela.popovic@mef.edu.rs

G. Popovic is a an associate professor of management at the Faculty of Applied Management, Economics and Finance, Belgrade, University Business Academy in Novi Sad. She obtained her MSc and PhD degree at the Faculty of Management in Zajecar, John Naisbitt / Megatrend University Belgrade. Her current research is directed towards decision-making theory, management and natural resource management.

Smarandache Florentin

https://orcid.org/0000-0002-5560-5926

fsmarandache@gmail.com

F. Smarandache is a professor of mathematics at the University of New Mexico, USA. He has published many papers and books on neutrosophic set and logic and their applications and has presented to many international conferences. He got his MSc in mathematics and computer science from the University of Craiova, Romania, PhD from the State University of Kishinev, and post-doctoral in applied mathematics from Okayama University of Sciences, Japan.

Stanimirović Predrag S.

https://orcid.org/0000-0003-0655-3741

pecko@pmf.ni.ac.rs

P.S. Stanimirović has accomplished his PhD in computer science at University of Niš, Faculty of Philosophy, Niš, Serbia. He is a full professor at University of Niš, Faculty of Sciences and Mathematics, Departments of Computer Science, Niš, Serbia. He acquired thirty-five years of experience in scientific research in diverse fields of mathematics and computer science, which span multiple branches of numerical linear algebra, recurrent neural networks, linear algebra, symbolic computation, nonlinear optimization, and others. His main research topics include numerical linear algebra, operation research, recurrent neural networks and symbolic computation. Within recent years, he has successfully published over 300 publications in scientific journals, including 5 research monographs, 6 text-books, 5 monographs, and over 80 peer-reviewed research articles published in conference proceedings and book chapters. He is a section editor of the scientific journals Electronic Research Archive (ERA), Filomat, Facta Universitatis, Series: Mathematics and Informatics and several other journals.

Saračević Muzafer

https://orcid.org/0000-0003-2577-7927

muzafers@uninp.edu.rs

M. Saračević is a professor and a vice-rector for scientific research at the University of Novi Pazar. He graduated in computer sciences (cryptography) at the Faculty of Informatics and Computing in Belgrade, obtained his master’s degree from the University of Kragujevac, Faculty of Technical Sciences, and completed his PhD (computational geometry) at the University of Nis, Faculty of Science and Mathematics (Serbia) in 2013. His research work covers the areas of software engineering and programming, applied mathematics, cryptography, and data protection. He authored and co-authored several university textbooks and over 180 scientific papers printed in international and national journals, and proceedings of international and national scientific conferences.

Katsikis Vasilios N.

https://orcid.org/0000-0002-8208-9656

vaskatsikis@econ.uoa.gr

V.N. Katsikis received the bachelor’s degree in mathematics from the National and Kapodistrian University of Athens, Athens, Greece, in 1997, and the MSc degree in applied mathematics and the PhD degree in mathematics from the National Technical University of Athens, Athens, in 2000 and 2006, respectively. He is currently an associate professor of mathematics and informatics with the Division of Mathematics and Informatics, Department of Economics, National and Kapodistrian University of Athens. His current research interests include neural networks, matrix analysis, linear algebra, and intelligent optimization. His web page is now available at http://scholar.uoa.gr/vaskatsikis.

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Keywords

neutrosophic set single-valued neutrosophic number Simple WISP deneutrosophication MCDM

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