Objective weights with intuitionistic fuzzy entropy measures and computational experiment analysis

Applied Soft Computing Journal

Volumn 11, Issue 8, 2011, Pages 5411-5423

  Chen, Ting Yu ^a   Li, Chia Hang ^b  

^a CHANG GUNG UNIVERSITY   (Taiwan)

^b CHANG GUNG UNIVERSITY   (Taiwan)

Author keywords

Computational experiment; Intuitionistic fuzzy entropy; Intuitionistic fuzzy set; Multi attribute decision; Objective weight

Indexed keywords

COMPUTATIONAL EXPERIMENT; INTUITIONISTIC FUZZY; INTUITIONISTIC FUZZY SETS; MULTI-ATTRIBUTE DECISION; OBJECTIVE WEIGHT;

EXPERIMENTS; FUZZY SETS;

ENTROPY;

EID: 80053572984     PISSN: 15684946     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.asoc.2011.05.018     Document Type: Article

References (46)

1. J. Ma, Z.P. Fan, and L.H. Huang A subjective and objective integrated approach to determine attribute weights European Journal of Operational Research 112 2 1999 397 404
2. C.L. Hwang, and M.J. Lin Group Decision Making under Multiple Criteria: Methods and Applications 1987 Springer Berlin
3. C.L. Hwang, and K. Yoon Multiple Attribute Decision Making-Methods and Applications. A state-of-the-art survey 1981 Springer-Verlag New York
4. T.L. Saaty The Analytic Hierarchy Process 1980 McGraw-Hill New York
5. M. Zeleny Multiple Criteria Decision Making 1982 Graw-Hill New York
6. S.J. Chen, and C.L. Hwang Fuzzy Multiple Attribute Decision Making - Methods and Applications 1992 Springer-Verlag Berlin/Heidelberg/New York
7. K.T. Atanassov Intuitionistic fuzzy sets Fuzzy Sets and Systems 20 1 1986 87 96
8. H.W. Liu, and G.J. Wang Multi-criteria decision-making methods based on intuitionistic fuzzy sets European Journal of Operational Research 179 1 2007 220 233
9. W.L. Gau, and D.J. Buehrer Vague sets, IEEE Transactions on Systems, Man, and Cybernetics 23 2 1993 610 614
10. H. Bustince, and P. Burillo Vague sets are intuitionistic fuzzy sets Fuzzy Sets and Systems 79 3 1996 403 405 (Pubitemid 126667425)
11. D.G. Park, Y.C. Kwun, J.H. Park, and Y. Park Correlation coefficient of interval-valued intuitionistic fuzzy sets and its application to multiple attribute group decision making problems Mathematical and Computer Modelling 50 9 2009 1279 1293
12. D.-F. Li Multiattribute decision making models and methods using intuitionistic fuzzy sets Journal of Computer and System Sciences 70 1 2005 73 85
13. L. Lin, X.-H. Yuan, and Z.-Q. Xia Multicriteria fuzzy decision-making methods based on intuitionistic fuzzy sets Journal of Computer and Systems Sciences 73 1 2007 84 88 (Pubitemid 44751000)
14. J. Ye Multicriteria fuzzy decision-making method based on a novel accuracy function under interval-valued intuitionistic fuzzy environment Expert Systems with Applications 36 3 2009 6899 6902
15. Z. Xu Intuitionistic fuzzy preference relations and their application in group decision making Information Science 177 11 2007 2363 2379 (Pubitemid 46435495)
16. J. Ye Fuzzy decision-making method based on the weighted correlation coefficient under intuitionistic fuzzy environment European Journal of Operational Research 205 1 2010 202 204
17. E. Szmidt, and J. Kacprzyk Using intuitionistic fuzzy sets in group decision making Control and Cybernetics 31 4 2002 1037 1053 (Pubitemid 36699124)
18. E. Szmidt, and J. Kacprzyk A consensus-reaching process under intuitionistic fuzzy preference relations International Journal of Intelligent Systems 18 7 2003 837 852
19. Z. Xu Some similarity measures of intuitionistic fuzzy sets and their applications to multiple attribute decision making Fuzzy Optimization and Decision Making 6 2 2007 109 121 (Pubitemid 46965444)
20. 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 14 2005 859 868 (Pubitemid 43149045)
21. A. Pankowska, and M. Wygralak General IF-sets with triangular norms and their applications to group decision making Information Science 176 18 2006 2713 2754 (Pubitemid 43946421)
22. C. Tan, and X. Chen Intuitionistic fuzzy Choquet integral operator for multi-criteria decision making? Expert Systems with Applications 37 1 2009 149 157
23. Z. Xu Choquet integrals of weighted intuitionistic fuzzy information Information Sciences 180 5 2010 726 736
24. A. Kharal Homeopathic drug selection using intuitionistic fuzzy sets Homeopathy 98 1 2009 35 39
25. P. Wang QoS-aware web services selection with intuitionistic fuzzy set under consumer's vague perception Expert Systems with Applications 36 3 2009 4460 4466
26. D.-F. Li Extension of the LINMAP for multiattribute decision making under Atanassov's intuitionistic fuzzy environment Fuzzy Optimization and Decision Making 7 1 2008 17 34
27. D.F. Li, Y.C. Wang, S. Liu, and F. Shan Fractional programming methodology for multi-attribute group decision-making using IFS Applied Soft Computing 9 1 2009 219 225
28. D.F. Li TOPSIS-based nonlinear-programming methodology for multiattribute decision making with interval-valued intuitionistic fuzzy sets IEEE Transactions on Fuzzy Systems 18 2 2010 299 311
29. 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 Systems with Applications 36 8 2009 11363 11368
30. Z. Xu Multi-person multi-attribute decision making models under intuitionistic fuzzy environment Fuzzy Optimization and Decision Making 6 3 2007 221 236 (Pubitemid 47507479)
31. H. Zhao, Z. Xu, M. Ni, and S. Liu Generalized aggregation operators for intuitionistic fuzzy sets International Journal of Intelligent Systems 25 1 2010 1 30
32. G. Wei Some induced geometric aggregation operators with intuitionistic fuzzy information and their application to group decision making Applied Soft Computing 10 2 2010 423 431
33. R. Sadiq, and S. Tesfamariam Environmental decision-making under uncertainty using intuitionistic fuzzy analytic hierarchy process (IF-AHP) Stochastic Environmental Research and Risk Assessment 23 1 2009 75 91
34. Z. Xu, and R.R. Yager Dynamic intuitionistic fuzzy mutli-attribute decision making International Journal of Approximate Reasoning 48 1 2008 246 262 (Pubitemid 351324070)
35. P. Burillo, and H. Bustince Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets Fuzzy Sets and Systems 78 3 1996 305 316 (Pubitemid 126667377)
36. E. Szmidt, and J. Kacprzyk Entropy for intuitionistic fuzzy sets Fuzzy Sets and Systems 118 3 2001 467 477 (Pubitemid 32070574)
37. W. Zeng, and H. Li Relationship between similarity measure and entropy of interval valued fuzzy sets Fuzzy Sets and Systems 157 11 2006 1477 1484
38. W.L. Hung, and M.S. Yang Fuzzy entropy on intuitionistic fuzzy sets International Journal of Intelligent Systems 21 4 2006 443 451
39. A. De Luca, and S. Termini A definition of a nonprobabilistic entropy in the setting of fuzzy sets theory Information and Control 20 4 1972 301 312
40. K.T. Atanassov Intuitionistic Fuzzy Sets: Theory and Applications 1999 Physica-Verlag, Heidelberg New York
41. E. Szmidt, and J. Kacprzyk Distances between intuitionistic fuzzy sets Fuzzy Sets and Systems 114 3 2000 505 518
42. W.Q. Wang, and X.L. Xin Distances measure between intuitionistic fuzzy sets Pattern Recognition Letters 26 13 2005 2063 2069
43. A. Kaufmann Introduction to the Theory of Fuzzy Subsets Fundamental Theoretical Elements Vol. 1 1975 Academic Press New York
44. W.L. Hung A note on entropy of intuitionistic fuzzy sets International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 11 5 2003 627 634
45. I.K. Vlachos, and G.D. Sergiadis Subsethood, entropy, and cardinality for interval-valued fuzzy sets - an algebraic derivation Fuzzy Sets and Systems 158 12 2007 1384 1396 (Pubitemid 46604831)
46. M. Zeleny The attribute-dynamic attribute model Management Science 23 1 1976 12 26