A note on the TOPSIS method in MADM problems with linguistic evaluations

Applied Soft Computing Journal

Volumn 36, Issue , 2015, Pages 24-35

  Pei, Zhi ^a  

^a ZHEJIANG UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Fuzzy decision making; Linguistic evaluation; Multiple attribute decision making; TOPSIS; Triangular fuzzy number

Indexed keywords

COMPUTATIONAL LINGUISTICS; DECISION MAKING; FUZZY SETS; LINGUISTICS;

FUZZY DECISION MAKING; MANUFACTURING COMPANIES; MULTI ATTRIBUTE DECISION MAKING; MULTIPLE ATTRIBUTE DECISION MAKING; NEGATIVE-IDEAL SOLUTIONS; TECHNIQUE FOR ORDER PREFERENCE BY SIMILARITY TO IDEAL SOLUTIONS; TOPSIS; TRIANGULAR FUZZY NUMBERS;

NUMERICAL METHODS;

EID: 84938303604     PISSN: 15684946     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.asoc.2015.06.042     Document Type: Article

References (42)

1. B. Ashtiani, F. Haghighirad, A. Makui, and G. Montazer Extension of fuzzy TOPSIS method based on interval-valued fuzzy sets Appl. Soft Comput. 9 2009 457 461
2. M. Behzadian, S.K. Otaghsara, M. Yazdani, and et al. A state-of the-art survey of TOPSIS applications Expert Syst. Appl. 39 2012 13051 13069
3. F.E. Boran, S. Genc, M. Kurt, and D. Akay A multi-criteria intuitionistic fuzzy group decision making for supplier selection with TOPSIS method Expert Syst. Appl. 36 2009 11363 11368
4. F. Cavallaro Fuzzy TOPSIS approach for assessing thermal-energy storage in concentrated solar power (CSP) systems Appl. Energy 87 2010 496 503
5. I. Chamodrakas, I. Leftheriotis, and D. Martakos In-depth analysis and simulation study of an innovative fuzzy approach for ranking alternatives in multiple attribute decision making problems based on TOPSIS Appl. Soft Comput. 11 2011 900 907
6. C. Chen Extensions of the TOPSIS for group decision-making under fuzzy environment Fuzzy Sets Syst. 114 2000 1 9
7. S.J. Chen, and C.L. Hwang Fuzzy Multiple Attribute Decision Making 1992 Springer-Verlag Berlin 1992
8. S.M. Chen, and L.W. Lee Fuzzy multiple attributes group decision-making based on the interval type-2 TOPSIS method Expert Syst. Appl. 37 2010 2790 2798
9. T. Chen, and C. Tsao The interval-valued fuzzy TOPSIS method and experimental analysis Fuzzy Sets Syst. 159 2008 1410 1428
10. T.-C. Chu, and Y.-C. Lin An interval arithmetic based fuzzy TOPSIS model Expert Syst. Appl. 36 2009 10870 10876
11. M. Collan, and P. Luukka Evaluating R&D projects as investments by using an overall ranking from four new fuzzy similarity measure-based TOPSIS variants IEEE Trans. Fuzzy Syst. 22 3 2014 505 515
12. H.C. Doukas, B.M. Andreas, and J.E. Psarras Multi-criteria decision aid for the formulation of sustainable technological energy priorities using linguistic variables Eur. J. Oper. Res. 182 2007 844 855
13. H.C. Doukas, A. Tsiousi, V. Marinakis, and et al. Linguistic multi-criteria decision making for energy and environmental corporate policy Inf. Sci. 258 2014 328 338
14. D. Dubois, and H. Prade Ranking of fuzzy numbers in the setting of possibility theory Inf. Sci. 30 1983 183 224
15. L. Dymova, P. Sevastjanov, and A. Tikhonenko An approach to generalization of fuzzy TOPSIS method Inf. Sci. 238 2013 149 162
16. R.L.J. Francisco, O. Lauro, and C.R.C. Luiz A comparison between Fuzzy AHP and Fuzzy TOPSIS methods to supplier selection Appl. Soft Comput. 21 2014 194 209
17. Z. Gligoric, C. Beljic, and V. Simeunovic Shaft location selection at deep multiple orebody deposit by using fuzzy TOPSIS method and network optimization Expert Syst. Appl. 37 2010 1408 1418
18. C.L. Hwang, and K. Yoon Multiple Attributes Decision Making Methods and Applications 1981 Springer Berlin 1981
19. A. Kaufmann, and M.M. Gupta Introduction to Fuzzy Arithmetic: Theory and Applications 1985 Van Nostrand Reinhold New York 1985
20. K. Khalili-Damghani, and S. Sadi-Nezhad A hybrid fuzzy multiple criteria group decision making approach for sustainable project selection Appl. Soft Comput. 13 2013 339 352
21. Y.J. Lai, T.Y. Liu, and C.L. Wang TOPSIS for MODM Eur. J. Oper. Res. 76 1994 484 500
22. D.-F. Li TOPSIS-based nonlinear-programming methodology for multiattribute decision making with interval-valued intuitionistic fuzzy sets IEEE Trans. Fuzzy Syst. 18 2 2010 299 311
23. M. Li, L. Jin, and J. Wang A new MCDM method combining QFD with TOPSIS for knowledge management system selection from the user's perspective in intuitionistic fuzzy environment Appl. Soft Comput. 21 2014 28 37
24. Y. Li, X. Chu, D. Chu, and et al. An integrated approach to evaluate module partition schemes of complex products and systems based on interval-valued intuitionistic fuzzy sets Int. J. Comput. Integr. Manuf. 27 7 2014 675 689
25. I. Mahdavi, N. Mahdavi-Amiri, A. Heidarzade, and R. Nourifar Designing a model of fuzzy TOPSIS in multiple criteria decision making Appl. Math. Comput. 206 2008 607 617
26. S. Opricovic, and G.H. Tzeng Compromise solution by MCDM methods: a comparative analysis of VIKOR and TOPSIS Eur. J. Oper. Res. 156 2004 445 455
27. T. Rashid, I. Beg, and S.M. Husnine Robot selection by using generalized interval-valued fuzzy numbers with TOPSIS Appl. Soft Comput. 21 2014 462 468
28. C.-C. Sun, and G.T.R. Lin Using fuzzy TOPSIS method for evaluating the competitive advantages of shopping websites Expert Syst. Appl. 36 2009 11764 11771
29. E. Szmidt, and J. Kacprzyk Distances between intuitionistic fuzzy sets Fuzzy Sets Syst. 114 2000 505 518
30. O. Taylan, A.O. Bafail, R.M.S. Abdulaal, and et al. Construction projects selection and risk assessment by fuzzy AHP and fuzzy TOPSIS methodologies Appl. Soft Comput. 17 2014 105 116
31. J. Tian, D. Yu, B. Yu, and et al. A fuzzy TOPSIS model via chi-square test for information source selection Knowl. Based Syst. 37 2013 515 527
32. X. Wang, and E.E. Kerre Reasonable properties for the ordering of fuzzy quantities (I) Fuzzy Sets Syst. 118 2001 375 385
33. T.-C. Wang, and H.-D. Lee Developing a fuzzy TOPSIS approach based on subjective weights and objective weights Expert Syst. Appl. 36 2009 8980 8985
34. Y.-J. Wang The evaluation of financial performance for Taiwan container shipping companies by fuzzy TOPSIS Appl. Soft Comput. 22 2014 28 35
35. Z. Xu Some similarity measures of intuitionistic fuzzy sets and their applications to multiple attribute decision making Fuzzy Optim. Decis. Mak. 6 2007 109 121
36. Z. Xu, and X. Cai Recent advances in intuitionistic fuzzy information aggregation Fuzzy Optim. Decis. Mak. 9 2010 359 381
37. Z. Xu, and R.R. Yager Intuitionistic and interval-valued intutionistic fuzzy preference relations and their measures of similarity for the evaluation of agreement within a group Fuzzy Optim. Decis. Mak. 8 2009 123 139
38. R.R. Yager Some aspects of intuitionistic fuzzy sets Fuzzy Optim. Decis. Mak. 8 2009 67 90
39. F. Ye, and Y. Li An extended TOPSIS model based on the possibility theory under fuzzy environment Knowl. Based Syst. 67 2014 263 269
40. Z. Yue An extended TOPSIS for determining weights of decision makers with interval numbers Knowl. Based Syst. 24 2011 146 153
41. Z. Yue TOPSIS-based group decision-making methodology in intuitionistic fuzzy setting Inf. Sci. 277 2014 141 153
42. L.A. Zadeh Fuzzy sets Inf. Control 8 1965 338 356