Group decision making with linguistic preference relations with application to supplier selection

Expert Systems with Applications

Volumn 38, Issue 12, 2011, Pages 14382-14389

  Tan, Chunqiao ^a   Wu, Desheng Dash ^b   Ma, Benjiang ^a  

^a CENTRAL SOUTH UNIVERSITY   (China)

^b UNIVERSITY OF TORONTO   (Canada)

Author keywords

Choquet integral; Fuzzy measure; Group decision making; Linguistic aggregation operators; Linguistic preference relations

Indexed keywords

ADDITIVE LINGUISTIC PREFERENCE RELATIONS; ADDITIVITY; AGGREGATION OPERATOR; AVERAGING OPERATORS; CHOQUET INTEGRAL; CONVENTIONAL ADDITIVES; DECISION MAKERS; DECISION PROBLEMS; EVALUATION PROCESS; FUZZY MEASURE; FUZZY MEASURES; GROUP DECISION MAKING; LINGUISTIC PREFERENCE RELATION; LINGUISTIC PREFERENCE RELATIONS; MULTIPLICATIVE LINGUISTIC PREFERENCE RELATIONS; NON-ADDITIVE MEASURE; PREFERENCE INFORMATION; SUPPLIER SELECTION;

DECISION MAKING; FUZZY SYSTEMS; INTEGRAL EQUATIONS; MATHEMATICAL OPERATORS; USER INTERFACES;

LINGUISTICS;

EID: 80052030585     PISSN: 09574174     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.eswa.2011.04.036     Document Type: Article

References (31)

1. G. Bordogna, M. Fedrizzi, and G. Pasi A linguistic modelling of consensus in group decision making based on OWA operator IEEE Transactions on Systems, Man, and Cybernetics 27 1 1997 126 132
2. G. Choquet Theory of capacities Annales de l'Institut Fourier 5 2 1954 131 295
3. G.W. Dickson An analysis of vendor selection systems and decisions Journal of Purchasing 2 1966 5 17
4. J. Figueira, S. Greco, and M. Ehrgott Multiple criteria decision analysis: State of the art International Series in Operations Research & Management Science Vol. 78 2005 Springer-Verlag Boston
5. M. Grabisch Fuzzy integral in multicriteria decision making Fuzzy Sets and Systems 69 2 1995 279 298
6. Grabisch, M. (1995b). A new algorithm for identifying fuzzy measures and its application to pattern recognition. In: International Joint Conference Fourth IEEE International Conference on Fuzzy Systems and the Second International Fuzzy Engineering Symposium, Yokohama, Japan (pp. 145-150).
7. M. Grabisch The representation of importance and interaction of features by fuzzy measures Pattern Recognition Letters 17 5 1996 567 575
8. M. Grabisch, Ch. Labreuche, and J.C. Vansnick On the extension of pseudo-Boolean functions for the aggregation of interacting criteria European Journal of Operational Research 148 1 2003 28 47
9. M. Grabisch, T. Murofushi, and M. Sugeno Fuzzy measure and integrals 2000 Physica-Verlag NewYork
10. M. Grabisch, and J.M. Nicolas Classification by fuzzy integral - performance and tests Fuzzy Sets and Systems 65 2 1994 255 271
11. F. Herrera, and E. Herrera-Viedma Choice functions and mechanisms for linguistic preference relations European Journal of Operational Research 120 2 2000 144 161
12. F. Herrera, and E. Herrera-Viedma A Study of the origin and uses of the ordered weighted geometric operator in multicriteria decision making International Journal of Intelligent Systems 18 6 2003 689 707
13. K. Ishii, and M. Sugeno A model human evaluation process using fuzzy measure International Journal of Man-Machine Studies 22 1 1985 19 38
14. J. Kacprzyk Group decision making with a fuzzy linguistic majority Fuzzy Sets and Systems 18 1 1986 105 118
15. R.L. Keeney, and H. Raiffa Decision with multiple objectives 1976 Wiley New York
16. I. Kojadinovic Modeling interaction phenomena using fuzzy measures: On the notions of interaction and independence Fuzzy Sets and Systems 135 2 2002 317 340
17. J.L. Marichal An axiomatic approach of the discrete Choquet integral as a tool to aggregate interacting criteria IEEE Transactions on Fuzzy Systems 8 6 2000 800 807
18. Marichal, J.L., Roubens, M. (1998). Dependence between criteria and multiple criteria decision aid. In: Second International workshop on preferences and decisions, Trento, Italy, pp. 69-75.
19. J. Sipos Integral with respect to a pre-measure Mathematica Slovaca 29 2 1979 141 155
20. Sugeno, M. (1974). Theory of fuzzy integral and its application. Doctorial Dissertation, Tokyo Institute of Technology.
21. P. Wakker Additive representations of preferences 1999 Kluwer Academic Publishers
22. Z. Wang, and G.J. Klir Fuzzy measure theory 1992 Plenum Press NewYork
23. W. Wang, Z. Wang, and G.J. Klir Genetic algorithms for determining fuzzy measures from data Journal of Intelligent and Fuzzy Systems 6 2 1998 171 183
24. C.A. Weber, J.R. Current, and W.C. Benton Vendor selection criteria and methods European Journal of Operational Research 50 1991 2 18
25. D. Wu Supplier selection in a fuzzy group setting: A method using grey related analysis and Dempster-Shafer theory Expert Systems with Applications 36 2009 8892 8899
26. Z.S. Xu A method based on linguistic aggregation operators for group decision making with linguistic preference relations Information Sciences 166 1 2004 19 30
27. Z.S. Xu EOWA and EOWG operators for aggregating linguistic labels based on linguistic preference relations International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, Fuzziness and Knowledge-Based Systems 12 6 2004 791 810
28. D. Wu Supplier selection in a fuzzy group setting: A method using grey related analysis and Dempster-Shafer theory Expert Systems with Applications 36 5 2009: 9105 9112
29. R.R. Yager On ordered weighted averaging aggregation operators in multicriteria decision making IEEE Transaction on Systems, Man and Cybernetics 18 1 1988 183 190
30. R.R. Yager, and J. Kacprzyk The ordered weighted averaging operator: Theory and applications 1997 Kluwer Boston, MA
31. L.A. Zadeh The concept of a linguistic variable and its application to approximate reasoning Part 1, 2 and 3, Information Sciences 8 2 1975/1976 99 249 301-357; 9(1), 43-80