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A Visual Decision Support System for Helping Physicians to Make A decision on New Drugs Read chapter Read first chapter

2017 | OriginalPaper | Chapter

Implementation of an Extended Fuzzy VIKOR Method Based on Triangular and Trapezoidal Fuzzy Linguistic Variables and Alternative Deffuzification Techniques

Authors : Nikolaos Ploskas, Jason Papathanasiou, Georgios Tsaples

Published in: Decision Support Systems VII. Data, Information and Knowledge Visualization in Decision Support Systems

Publisher: Springer International Publishing

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Abstract

Many Multi-Criteria Decision Making (MCDM) problems contain information about the criteria and/or the alternatives that is either unquantifiable or incomplete. Fuzzy set theory has been successfully combined with MCDM methods to deal with imprecision. The fuzzy VIKOR method has been successfully applied in such problems. There are many extensions of this method; some of them utilize triangular fuzzy numbers, while others use trapezoidal fuzzy numbers. In addition, there are many defuzzification techniques available that are used in different variants. The use of each one of these techniques can have a substantial impact on the output of the fuzzy VIKOR method. Hence, we extend the fuzzy VIKOR method in order to allow the use of several defuzzification techniques. In addition, we allow the use of both triangular and trapezoidal fuzzy numbers. In this paper, we also present the implementation of a web-based decision support system that incorporates the fuzzy VIKOR method. Finally, an application of the fuzzy VIKOR method on a facility location problem is presented to highlight the key features of the implemented system.

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previous chapter A Tool for Energy Management and Cost Assessment of Pumps in Waste Water Treatment Plants
next chapter Integrating System Dynamics with Exploratory MCDA for Robust Decision-Making
Literature
1.
Bede, B.: Mathematics of Fuzzy Sets and Fuzzy Logic. Springer, Heidelberg (2013)CrossRef
2.
Chen, L.Y., Wang, T.C.: Optimizing partners’ choice in IS/IT outsourcing projects: the strategic decision of fuzzy VIKOR. Int. J. Prod. Econ. 120(1), 233–242 (2009)CrossRef
3.
Diamond, P., Kloeden, P.: Metric topology of fuzzy numbers and fuzzy analysis. In: Dubois, D., Prade, H. (eds.) Fundamentals of Fuzzy Sets, pp. 583–641. Springer, New York (2000)CrossRef
4.
Filev, D.P., Yager, R.R.: A generalized defuzzification method via BAD distributions. Int. J. Intell. Syst. 6(7), 687–697 (1991)CrossRef
5.
Ju, Y., Wang, A.: Extension of VIKOR method for multi-criteria group decision making problem with linguistic information. Appl. Math. Model. 37(5), 3112–3125 (2013)CrossRef
6.
Lee, K.H.: First Course on Fuzzy Theory and Applications, vol. 27. Springer Science & Business Media, Heidelberg (2006)
7.
Opricovic, S.: Multicriteria optimization of civil engineering systems. Faculty of Civil Engineering, Belgrade 2(1), 5–21 (1998)
8.
Opricovic, S., Tzeng, G.H.: Compromise solution by MCDM methods: a comparative analysis of VIKOR and TOPSIS. Eur. J. Oper. Res. 156(2), 445–455 (2004)CrossRef
9.
Opricovic, S., Tzeng, G.H.: Extended VIKOR method in comparison with outranking methods. Eur. J. Oper. Res. 178(2), 514–529 (2007)CrossRef
10.
Opricovic, S.: Fuzzy VIKOR with an application to water resources planning. Expert Syst. Appl. 38(10), 12983–12990 (2011)CrossRef
11.
Papathanasiou, J., Ploskas, N., Bournaris, T., Manos, B.: A decision support system for multiple criteria alternative ranking using TOPSIS and VIKOR: a case study on social sustainability in agriculture. In: Liu, S., Delibašić, B., Oderanti, F. (eds.) ICDSST 2016. LNBIP, vol. 250, pp. 3–15. Springer, Cham (2016). doi:10.​1007/​978-3-319-32877-5_​1
12.
Rostamzadeh, R., Govindan, K., Esmaeili, A., Sabaghi, M.: Application of fuzzy VIKOR for evaluation of green supply chain management practices. Ecol. Ind. 49, 188–203 (2015)CrossRef
13.
Sanayei, A., Mousavi, S.F., Yazdankhah, A.: Group decision making process for supplier selection with VIKOR under fuzzy environment. Expert Syst. Appl. 37(1), 24–30 (2010)CrossRef
14.
Shemshadi, A., Shirazi, H., Toreihi, M., Tarokh, M.J.: A fuzzy VIKOR method for supplier selection based on entropy measure for objective weighting. Expert Syst. Appl. 38(10), 12160–12167 (2011)CrossRef
15.
Tzeng, G.H., Huang, J.J.: Multiple Attribute Decision Making: Methods and Applications. CRC Press, Boca Raton (2011)
16.
Van Leekwijck, W., Kerre, E.E.: Defuzzification: criteria and classification. Fuzzy Sets Syst. 108(2), 159–178 (1999)CrossRef
17.
Wan, S.P., Wang, Q.Y., Dong, J.Y.: The extended VIKOR method for multi-attribute group decision making with triangular intuitionistic fuzzy numbers. Knowl.-Based Syst. 52, 65–77 (2013)CrossRef
18.
Yazdani, M., Graeml, F.R.: VIKOR and its applications: a state-of-the-art survey. Int. J. Strateg. Decision Sci. (IJSDS) 5(2), 56–83 (2014)CrossRef
19.
Yu, P.L.: A class of solutions for group decision problems. Manage. Sci. 19(8), 936–946 (1973)CrossRef
20.
Yucenur, G.N., Demirel, N.Ç.: Group decision making process for insurance company selection problem with extended VIKOR method under fuzzy environment. Expert Syst. Appl. 39(3), 3702–3707 (2012)CrossRef
21.
22.
Zadeh, L.A.: The concept of a linguistic variable and its application to approximate reasoning. Inf. Sci. 8(3), 199–249 (1975)CrossRef
23.
Zeleny, M.: Multi Criteria Decision Making. McGraw-Hills, New York (1982)
Metadata
Title
Implementation of an Extended Fuzzy VIKOR Method Based on Triangular and Trapezoidal Fuzzy Linguistic Variables and Alternative Deffuzification Techniques
Authors
Nikolaos Ploskas
Jason Papathanasiou
Georgios Tsaples
Copyright Year
2017
Book
Decision Support Systems VII. Data, Information and Knowledge Visualization in Decision Support Systems

Print ISBN: 978-3-319-57486-8

Electronic ISBN: 978-3-319-57487-5

Copyright Year: 2017

DOI
https://doi.org/10.1007/978-3-319-57487-5_12

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