Multi-criteria fuzzy decision-making method based on cross entropy and score functions

Expert Systems with Applications

Volumn 38, Issue 1, 2011, Pages 1032-1038

  Wang, Jian Qiang ^a   Li, Jing Jing ^a  

^a CENTRAL SOUTH UNIVERSITY   (China)

Author keywords

Cross entropy; Intuitionistic fuzzy set; Multi criteria fuzzy decision making; Score functions

Indexed keywords

CROSS ENTROPY; DEGREE OF MEMBERSHIP; FUZZY DECISION-MAKING; IMPROVED METHODS; INTUITIONISTIC FUZZY SETS; MULTI-CRITERIA; SCORE FUNCTION; SCORE FUNCTION METHOD;

DECISION MAKING; ENTROPY; FUZZY SETS;

FUZZY SET THEORY;

EID: 77956617121     PISSN: 09574174     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.eswa.2010.07.137     Document Type: Article

References (34)

1. Atanassov, K. (1983). Intuitionistic fuzzy sets. VII ITKR's Session, Sofia.
2. K. Atanassov Intuitionistic fuzzy sets Fuzzy Sets and Systems 20 1986 87 96
3. K. Atanassov Intuitionistic fuzzy sets 1999 Physica-Verlag Heidelberg, New York
4. K. Atanassov, G. Pasi, and R. Yager Intuitionistic fuzzy interpretations of multi-criteria multi-person and multi-measurement tool decision making International Journal of Systems Science 36 2005 859 868
5. R. Bellman, and L.A. Zadeh Decision making in a fuzzy environment Management Science 17 1970 141 164
6. H. Bustice, and P. Burillo Vague sets are intuitionistic fuzzy sets Fuzzy Sets and Systems 79 1996 403 405
7. S.M. Chen A new approach to handling fuzzy decision making problems IEEE Transactions on Systems Man and Cybernetics 18 1988 1012 1016
8. S.M. Chen, and J.M. Tan Handling multi-criteria fuzzy decision-making problems based on vague set theory Fuzzy Sets and Systems 67 1994 163 172
9. W.L. Gau, and D.J. Buehrer Vague sets IEEE Transactions on Systems Man Cybernetics 23 1993 610 614
10. D.H. Hong, and C.H. Choi Multi-criteria fuzzy decision-making problems based on vague set theory Fuzzy Sets and Systems 114 2000 103 113
11. K.C. Hung, G.K. Yang, Peter Chu, and W.T.H. Jin An enhanced method and its application for fuzzy multi-criteria decision making based on vague sets Computer Aided Design 40 2008 447 457
12. M. Jae, and J.H. Moon Use of a fuzzy decision-making method in evaluation severe accident management strategies Annals of Nuclear Energy 29 2002 1597 1606
13. L.G. Lin, L.Z. Xu, and J.Y. Wang Multi-criteria fusion decision-making method based on vague set Computer Engineering 31 2005 11 13 [in Chinese]
14. F. Li, and Y. Rao Weighted methods of multi-criteria fuzzy decision making based on vague sets Computer Science 5 2001 103 109 [in Chinese]
15. F. Li, Y. Rao, and L. Cai Methods of multi-criteria fuzzy decision making based on vague sets Journal of HuaZhong University of Science and Technology 29 2001 1 3 [in Chinese]
16. H.W. Liu Vague set methods of multi-criteria fuzzy decision making Theory and practice of System Engineering 24 2004 103 109 [in Chinese]
17. H.W. Liu, and G.J. Wang Multi-criteria decision-making methods based on intuitionistic fuzzy sets European Journal of Operational Research 179 2007 220 233
18. E. Szmidt, and J. Kacprzyk Using intuitonistic fuzzy sets in group making Control and Cybernetics 31 2002 1017 1053
19. E. Szmidt, and J. Kacprzyk A consensus-reaching process under intuitionistic fuzzy preference relations International Journal of Intelligent Systems 18 2003 837 852
20. P. Wang Qos-aware web services selection with intuitionistic fuzzy set under consumer's vague perception Expert Systems with applications 36 2009 4460 4466
21. J.Q. Wang, L.Y. Meng, and X.H. Chen Multi-criteria decision-making method based on vague sets and risk attitudes of decision makers Journal of Systems Engineering and Electronics 2 2009 361 365 [in Chinese]
22. J. Wang, J. Zhang, and S.Y. Liu A new score function for fuzzy MCDM based on vague set theory International Journal of Computational Cognition 4 2006 44 48
23. Z.S. Xu Intuitionistic preference relations and their application in group decision making Information Sciences 177 2007 2363 2379
24. Z.S. Xu Some similarity measures of intuitionistic fuzzy sets and their applications to multiple attribute decision making Fuzzy Optimization and Decision Making 6 2007 109 121
25. Z.S. Xu Models for multiple attribute decision making with intuitionistic fuzzy information International Journal of Uncertainty. Fuzziness and Knowledge-Based Systems 15 2007 285 297
26. Z.S. Xu, and R.R. Yager Dynamic intuitionistic fuzzy multi-attribute decision making International Journal of Approximate Reasoning 48 2008 246 262
27. R.R. Yager Fuzzy decision making including unequal objective Fuzzy Sets and Systems 1 1978 87 95
28. R.R. Yager On ordered weighted averaging aggregation operators in multicriteria decision making IEEE Transaction on Systems Man and Cybernetics 18 1988 183 190
29. J. Ye Improved method of multicriteria fuzzy decision-making based on vague sets Computer Aided Design 39 2007 164 169
30. J. Ye Fault diagnosis of turbine based on fuzzy cross entropy of vague sets Expert Systems with Applications 39 2009 8103 8106
31. L.A. Zadeh Fuzzy sets Information and Control 8 1965 338 356
32. T. Zhang, Y.J. Lu, and J.J. Ma Discussion on improvement of score function methods based on vague sets for fuzzy multi-criteria decision-making Systems Engineering 24 2006 120 123 [in Chinese]
33. Z. Zhou, and Q.Z. Wu Multicriteria fuzzy decision making method based on vague set Mini-Micro Systems 26 2005 1350 1353 [in Chinese]
34. H.J. Zimmermann Fuzzy sets, decision making, and expert systems 1987 Kluwer Academic Publishers Boston