Interval type-2 hesitant fuzzy set and its application in multi-criteria decision making

Computers and Industrial Engineering

Volumn 87, Issue , 2015, Pages 91-103

  Hu, Junhua ^a   Xiao, Keli ^a   Chen, Xiaohong ^a   Liu, Yongmei ^a  

^a CENTRAL SOUTH UNIVERSITY   (China)

Author keywords

Aggregation operators; Interval type 2 hesitant fuzzy set; Multi criteria decision making; Operation laws; Score function

Indexed keywords

FUZZY SETS; MATHEMATICAL OPERATORS;

AGGREGATION OPERATOR; INTERVAL TYPE-2 FUZZY SETS; ITS APPLICATIONS; MULTI CRITERIA DECISION MAKING; MULTI-CRITERIA DECISION MAKING METHODS; OPERATION LAW; SCORE FUNCTION;

DECISION MAKING;

EID: 84929612190     PISSN: 03608352     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cie.2015.04.031     Document Type: Article

References (50)

1. K.T. Atanassov Intuitionistic fuzzy sets Fuzzy Sets and Systems 20 1 1986 87 96
2. K.T. Atanassov, and G. Gargov Interval-valued intuitionistic fuzzy sets Fuzzy Sets and Systems 31 1989 343 349
3. H. Bustince, and P. Burillo Vague sets are intuitionistic fuzzy sets Fuzzy Sets and Systems 79 3 1996 403 405
4. S.M. Chen, and L.W. Lee Fuzzy multiple attributes group decision-making based on the ranking values and the arithmetic operations of interval type-2 fuzzy sets Expert Systems with Applications 37 1 2010 824 833
5. S.M. Chen, and L.W. Lee Fuzzy multiple attributes group decision-making based on the interval type-2 TOPSIS method Expert Systems with Applications 37 4 2010 2790 2798
6. S.M. Chen, and J.M. Tan Handling multi-criteria fuzzy decision-making problems based on vague set theory Fuzzy Sets and Systems 67 2 1994 163 172
7. S.M. Chen, M.W. Yang, L.W. Lee, and S.W. Yang Fuzzy multiple attributes group decision-making based on ranking interval type-2 fuzzy sets Expert Systems with Applications 39 5 2012 5295 5308
8. T.Y. Chen, C.H. Chang, and J.F.R. Lu The extended QUALIFLEX method for multiple criteria decision analysis based on interval type-2 fuzzy sets and applications to medical decision making European Journal of Operational Research 226 2012 615 625
9. W.L. Gau, and D.J. Buehrer Vague sets IEEE Transactions on Systems, Man and Cybernetics 23 2 1993 610 614
10. Y. Gong, N. Hu, J. Zhang, G. Liu, and J. Deng Multi-attribute group decision making method based on geometric Bonferroni mean operator of trapezoidal interval type-2 fuzzy numbers Computers & Industrial Engineering 81 2015 167 176
11. M.B. Gorzałczany A method of inference in approximate reasoning based on interval-valued fuzzy sets Fuzzy Sets and Systems 21 1 1987 1 17
12. J. Hu, P. Chen, and X. Chen Intuitionistic random multi-criteria decision-making approach based on prospect theory with multiple reference intervals Scientia Iranica Transactions E: Industrial Engineering 21 6 2014 2347 2359
13. J. Hu, Y. Zhang, X. Chen, and Y. Liu Multi-criteria decision-making method based on possibility degree of interval type-2 fuzzy number Knowledge-Based Systems 43 2013 21 29
14. 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
15. E.P. Klement, and R. Mesiar Logical, algebraic, analytic and probabilistic aspects of triangular norms 2005 Elsevier Amsterdam pp. 345-390
16. G.J. Klir, and B. Yuan Fuzzy sets and fuzzy logic: Theory and applications 1995 Prentice Hall Upper Saddle River, NJ pp. 200-207
17. D.Q. Li, and Y.D. Gu Method for ranking interval numbers based on possibility degree Journal of Systems Engineering 23 2008 243 246
18. 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
19. L.W. Lee, and S.M. Chen Fuzzy decision making based on hesitant fuzzy linguistic term sets Proceedings of the 5th Asian conference on intelligent information and database systems 2013 Springer Berlin, Heidelberg 21 30
20. O. Linda, and M. Manic Interval Type-2 fuzzy voter design for fault tolerant systems Information Sciences 181 14 2011 2933 2950
21. J.M. Mendel, R.I. John, and F. Liu Interval type-2 fuzzy logic systems made simple IEEE Transactions on Fuzzy Systems 14 6 2006 808 821
22. H.B. Mitchell Pattern recognition using type-II fuzzy sets Information Sciences 170 2 2005 409 418
23. S.-C. Ngan A type-2 linguistic set theory and its application to multi-criteria decision making Computers & Industrial Engineering 64 2013 721 730
24. H.T. Nguyêñ, and E.A. Walker A first course in fuzzy logic 2005 Chapman, Hall/CRC
25. J.-J. Peng, J.-Q. Wang, J. Wang, L.-J. Yang, and X.-H. Chen An extension of ELECTRE to multi-criteria decision-making problems with multi-hesitant fuzzy sets Informaon Sciences 307 2015 113 126
26. R.M. Rodriguez, L. Martinez, and F. Herrera Hesitant fuzzy linguistic term sets for decision making IEEE Transactions on Fuzzy Systems 20 1 2012 109 119
27. R.M. Rodríguez, L. MartInez, and F. Herrera A group decision making model dealing with comparative linguistic expressions based on hesitant fuzzy linguistic term sets Information Sciences 241 2013 28 42
28. H. Shu, Q. Liang, and J. Gao Wireless sensor network lifetime analysis using interval type-2 fuzzy logic systems IEEE Transactions on Fuzzy Systems 16 2 2008 416 427
29. V. Torra Hesitant fuzzy sets International Journal of Intelligent Systems 25 6 2010 529 539
30. Torra, V., & Narukawa, Y. (2009). On hesitant fuzzy sets and decision. In Proceeding of 18th IEEE international conference on fuzzy systems, Jeju Island, Korea (pp. 1378-1382).
31. I.B. Turksen Interval valued fuzzy sets based on normal forms Fuzzy Sets and Systems 20 2 1986 191 210
32. J. Wang, Q.-H. Chen, H.-Y. Zhang, X.-H. Chen, and J.-Q. Wang Multi-criteria decision-making method based on type-2 fuzzy sets FILOMAT 2015
33. J. Wang, and Z. Zhang Aggregation operators on intuitionistic trapezoidal fuzzy number and its application to multi-criteria decision making problems Journal of Systems Engineering and Electronics 20 2 2009 321 326
34. J.-Q. Wang, J. Wang, Q.-H. Chen, H.-Y. Zhang, and X.-H. Chen An outranking approach for multi-criteria decision-making with hesitant fuzzy linguistic term sets Information Sciences 280 2014 338 351
35. J.-Q. Wang, P. Zhou, K.-j. Li, H.-y. Zhang, and X.-h. Chen Multi-criteria decision-making method based on normal intuitionistic fuzzy-induced generalized aggregation operator TOP 22 2014 1103 1122
36. J.-Q. Wang, J.-T. Wu, J. Wang, H.-Y. Zhang, and X.-H. Chen Multi-criteria decision-making methods based on the Hausdorff distance of hesitant fuzzy linguistic numbers Soft Computing 2015 10.1007/s00500-015-1609-5
37. J.-Q. Wang, S.-M. Yu, J. Wang, Q.-H. Chen, H.-Y. Zhang, and X.-H. Chen An interval type-2 fuzzy number based approach for multi-criteria group decision-making problems International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 23 4 2015 1 17
38. G. Wei Hesitant fuzzy prioritized operators and their application to multiple attribute decision making Knowledge-Based Systems 31 2012 176 182
39. G. Wei, H. Wang, X. Zhao, and R. Lin Hesitant triangular fuzzy information aggregation in multiple attribute decision making Journal of Intelligent and Fuzzy Systems 26 3 2014 1201 1209
40. D. Wu, and J.M. Mendel A vector similarity measure for linguistic approximation: Interval type-2 and type-1 fuzzy sets Information Sciences 178 2 2008 381 402
41. M. Xia, and Z. Xu Hesitant fuzzy information aggregation in decision making International Journal of Approximate Reasoning 52 3 2011 395 407
42. J. Ye Improved method of multi-criteria fuzzy decision-making based on vague sets Computer-Aided Design 39 2 2007 164 169
43. Ye, J. (2009). Multi-criteria fuzzy decision-making method based on the intuitionistic fuzzy cross-entropy. In Proceeding of international conference on IEEE intelligent human-machine systems and cybernetics (Vol. 1, pp. 59-61).
44. J. Ye Using an improved measure function of vague sets for multicriteria fuzzy decision-making Expert Systems with Applications 37 6 2010 4706 4709
45. D.J. Yu, Y.Y. Wu, and W. Zhou Multi-criteria decision making based on Choquet integral under hesitant fuzzy environment Journal of Computational Information Systems 7 12 2011 4506 4513
46. L.A. Zadeh Fuzzy sets Information and Control 8 3 1965 338 353
47. L.A. Zadeh The concept of a linguistic variable and its application to approximate reasoning-I Information Sciences 8 3 1975 199 249
48. 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
49. X. Zhang, and Z. Xu Interval programming method for hesitant fuzzy multi-attribute group Computers & Industrial Engineering 75 2014 217 229
50. Z. Zhang, C. Wang, D. Tian, and K. Li Induced generalized hesitant fuzzy operators and their application Computers & Industrial Engineering 67 2014 116 138