Hesitant fuzzy power aggregation operators and their application to multiple attribute group decision making

Information Sciences

Volumn 234, Issue , 2013, Pages 150-181

  Zhang, Zhiming ^a  

^a HEBEI UNIVERSITY   (China)

Author keywords

Hesitant fuzzy element; Hesitant fuzzy power aggregation operator; Hesitant fuzzy set; Multiple attribute group decision making; Power aggregation operator

Indexed keywords

AGGREGATION OPERATOR; FUZZY ENVIRONMENTS; FUZZY INFORMATION; FUZZY POWER; HESITANT FUZZY ELEMENT; HESITANT FUZZY SETS; MULTIPLE ATTRIBUTE GROUP DECISION MAKINGS (MAGDM); USEFUL PROPERTIES;

DECISION MAKING; FUZZY SETS;

MATHEMATICAL OPERATORS;

EID: 84875267009     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2013.01.002     Document Type: Article

References (71)

1. N. Agell, M. Sánchez, F. Prats, and L. Roselló Ranking multi-attribute alternatives on the basis of linguistic labels in group decisions Information Sciences 209 2012 49 60
2. K. Atanassov Intuitionistic fuzzy sets Fuzzy Sets and Systems 20 1986 87 96
3. K. Atanassov Intuitionistic Fuzzy Sets: Theory and Applications 1999 Physica-Verlag Heidelberg
4. K. Atanassov, and G. Gargov Interval valued intuitionistic fuzzy sets Fuzzy Sets and Systems 31 1989 343 349
5. O. Castillo, and P. Melin Optimization of type-2 fuzzy systems based on bio-inspired methods: a concise review Information Sciences 205 2012 1 19
6. T.-Y. Chen Bivariate models of optimism and pessimism in multi-criteria decision-making based on intuitionistic fuzzy sets Information Sciences 181 2011 2139 2165
7. T.-Y. Chen A comparative analysis of score functions for multiple criteria decision making in intuitionistic fuzzy settings Information Sciences 181 2011 3652 3676
8. J.-R. Chou A linguistic evaluation approach for universal design Information Sciences 190 2012 76 94
9. M. Delgado, F. Herrera, E. Herrera-Viedma, and L. Martinez Combining numerical and linguistic information in group decision making Information Sciences 107 1998 177 194
10. D. Dubois, and H. Prade Fuzzy Sets and Systems: Theory and Applications 1980 Academic Press New York
11. H. Dyckhoff, and W. Pedrycz Generalized means as model of compensative connectives Fuzzy Sets and Systems 14 1984 143 154
12. M.H. Fazel Zarandi, R. Gamasaee, and I.B. Turksen A type-2 fuzzy c-regression clustering algorithm for Takagi-Sugeno system identification and its application in the steel industry Information Sciences 187 2012 179 203
13. M. Galluzzo, and B. Cosenza Control of a non-isothermal continuous stirred tank reactor by a feedback-feedforward structure using type-2 fuzzy logic controllers Information Sciences 181 2011 3535 3550
14. S. Greenfield, F. Chiclana, R. John, and S. Coupland The sampling method of defuzzification for type-2 fuzzy sets: experimental evaluation Information Sciences 189 2012 77 92
15. K.H. Guo, and W.L. Li An attitudinal-based method for constructing intuitionistic fuzzy information in hybrid MADM under uncertainty Information Sciences 208 2012 28 38
16. F. Herrera, E. Herrera-Viedma, and L. Martínez A fusion approach for managing multigranularity linguistic term sets in decision making Fuzzy Sets and Systems 114 2000 43 58
17. F. Herrera, and E. Herrera-Viedma Linguistic decision analysis: steps for solving decision problems under linguistic information Fuzzy Sets and Systems 115 2000 67 82
18. F. Herrera, and L. Martínez A 2-tuple fuzzy linguistic representation model for computing with words IEEE Transactions on Fuzzy Systems 8 2000 746 752
19. F. Herrera, and L. Martínez An approach for combining linguistic and numerical information based on 2-tuple fuzzy linguistic representation model in decision-making International Journal of Uncertainty, Fuzziness, Knowledge-Based Systems 8 2000 539 562
20. F. Herrera, and L. Martínez A model based on linguistic 2-tuples for dealing with multigranular hierarchical linguistic contexts in multi-expert decision making IEEE Transactions on Systems, Man, and Cybernetics-Part B: Cybernetics 31 2001 227 234
21. E. Herrera-Viedma, S. Alonso, F. Herrera, and F. Chiclana A consensus model for group decision making with incomplete fuzzy preference relations IEEE Transactions on Fuzzy Systems 15 5 2007 863 877
22. B. Huang, D.-K. Wei, H.-X. Li, and Y.-L. Zhuang Using a rough set model to extract rules in dominance-based interval-valued intuitionistic fuzzy information systems Information Sciences 221 2013 215 229
23. C.-M. Hwang, M.-S. Yang, W.-L. Hung, and M.-G. Lee A similarity measure of intuitionistic fuzzy sets based on the Sugeno integral with its application to pattern recognition Information Sciences 189 2012 93 109
24. J. Kacprzyk Group decision making with a fuzzy linguistic majority Fuzzy Sets and Systems 18 1986 105 118
25. J.Q. Li, G.N. Deng, H.X. Li, and W.Y. Zeng The relationship between similarity measure and entropy of intuitionistic fuzzy sets Information Sciences 188 2012 314 321
26. P.D. Liu, and F. Jin Methods for aggregating intuitionistic uncertain linguistic variables and their application to group decision making Information Sciences 205 2012 58 71
27. L. Martínez, and F. Herrera An overview on the 2-tuple linguistic model for computing with words in decision making: extensions, applications and challenges Information Sciences 207 2012 1 18
28. D. Meng, and Z. Pei On weighted unbalanced linguistic aggregation operators in group decision making Information Sciences 223 2013 31 41
29. S. Miyamoto Multisets and fuzzy multisets Z.-Q. Liu, S. Miyamoto, Soft Computing and Human-Centered Machines 2000 Springer Berlin 9 33
30. S. Miyamoto Remarks on basics of fuzzy sets and fuzzy multisets Fuzzy Sets and Systems 156 2005 427 431
31. J.F. Pang, and J.Y. Liang Evaluation of the results of multi-attribute group decision-making with linguistic information Omega 40 2012 294 301
32. I.J. Pérez, F.J. Cabrerizo, and E. Herrera-Viedma Group decision making problems in a linguistic and dynamic context Expert Systems with Applications 38 2011 1675 1688
33. R. Rodríguez, L. Martínez, and F. Herrera Hesitant fuzzy linguistic term sets for decision making IEEE Transactions on Fuzzy Systems 20 1 2012 109 119
34. V. Torra Hesitant fuzzy sets International Journal of Intelligent Systems 25 2010 529 539
35. V. Torra, and Y. Narukawa Modeling Decisions: Information Fusion and Aggregation Operators 2007 Springer
36. V. Torra, Y. Narukawa, On hesitant fuzzy sets and decision, in: The 18th IEEE International Conference on Fuzzy Systems, Jeju Island, Korea, 2009, pp. 1378-1382.
37. L.B. Turksen Interval valued fuzzy sets based on normal forms Fuzzy Sets and Systems 80 1986 191 210
38. T.C. Wang, and H.D. Lee Developing a fuzzy TOPSIS approach based on subjective weights and objective weights Expert Systems with Applications 36 2009 8980 8985
39. G.W. Wei Some generalized aggregating operators with linguistic information and their application to multiple attribute group decision making Computers & Industrial Engineering 61 2011 32 38
40. G.W. Wei Hesitant fuzzy prioritized operators and their application to multiple attribute decision making Knowledge-Based Systems 31 2012 176 182
41. C.-P. Wei, P. Wang, and Y.-Z. Zhang Entropy, similarity measure of interval-valued intuitionistic fuzzy sets and their applications Information Sciences 181 2011 4273 4286
42. J.Z. Wu, F. Chen, C.P. Nie, and Q. Zhang Intuitionistic fuzzy-valued Choquet integral and its application in multicriteria decision making Information Sciences 222 2013 509 527
43. M.M. Xia, and Z.S. Xu Hesitant fuzzy information aggregation in decision making International Journal of Approximate Reasoning 52 2011 395 407
44. M.M. Xia, Z.S. Xu, and N. Chen Some hesitant fuzzy aggregation operators with their application in group decision making Group Decision Negotiation 22 2013 259 279
45. Z.S. Xu On consistency of the weighted geometric mean complex judgment matrix in AHP European Journal of Operational Research 126 2000 683 687
46. Z.S. Xu A method based on linguistic aggregation operators for group decision making with linguistic preference relations Information Sciences 166 2004 19 30
47. Z.S. Xu Uncertain linguistic aggregation operators based approach to multiple attribute group decision making under uncertain linguistic environment Information Sciences 168 2004 171 184
48. Z.S. Xu Deviation measures of linguistic preference relations in group decision making Omega 33 2005 249 254
49. Z.S. Xu Induced uncertain linguistic OWA operators applied to group decision making Information Fusion 7 2006 231 238
50. Z.S. Xu An approach based on the uncertain LOWG and induced uncertain LOWG operators to group decision making with uncertain multiplicative linguistic preference relations Decision Support Systems 41 2006 488 499
51. Z.S. Xu Methods for aggregating interval-valued intuitionistic fuzzy information and their application to decision making Control and Decision 22 2007 215 219
52. Z.S. Xu Approaches to multiple attribute group decision making based on intuitionistic fuzzy power aggregation operators Knowledge-Based Systems 24 2011 749 760
53. Z.S. Xu, and X.Q. Cai Uncertain power average operators for aggregating interval fuzzy preference relations Group Decision and Negotiation 21 3 2012 381 397
54. Z.S. Xu, and H. Hu Projection models for intuitionistic fuzzy multiple attribute decision making International Journal of Information Technology and Decision Making 9 2010 267 280
55. Y.J. Xu, J.M. Merigó, and H.M. Wang Linguistic power aggregation operators and their application to multiple attribute group decision making Applied Mathematical Modelling 36 2012 5427 5444
56. Y.J. Xu, and H.M. Wang Approaches based on 2-tuple linguistic power aggregation operators for multiple attribute group decision making under linguistic environment Applied Soft Computing 11 2011 3988 3997
57. Z.S. Xu, and M.M. Xia Distance and similarity measures for hesitant fuzzy sets Information Sciences 181 2011 2128 2138
58. Z.S. Xu, and R.R. Yager Some geometric aggregation operators based on intuitionistic fuzzy sets International Journal of General Systems 35 2006 417 433
59. Z.S. Xu, and R.R. Yager Power-geometric operators and their use in group decision making IEEE Transactions on Fuzzy Systems 18 2010 94 105
60. R.N. Xu, and X.Y. Zhai Extensions of the analytic hierarchy process in fuzzy environment Fuzzy Sets and Systems 52 1992 251 257
61. R.R. Yager On the theory of bags International Journal of General Systems 13 1986 23 37
62. R.R. Yager The power average operator IEEE Transactions on Systems, Man, Cybernetics-Part A: Systems and Humans 31 2001 724 731
63. L.A. Zadeh Fuzzy sets Information and Control 8 1965 338 353
64. L.A. Zadeh The concept of a linguistic variable and its application to approximate reasoning. Parts 1, 2 and 3 Information Sciences 8 1975 199 249 301-357
65. L.A. Zadeh The concept of a linguistic variable and its application to approximate reasoning. Parts 1, 2 and 3 Information Sciences 9 1976 43 80
66. L.A. Zadeh A computational approach to fuzzy quantifiers in natural languages Computers & Mathematics with Applications 9 1983 149 184
67. D.Y. Zhai, and J.M. Mendel Uncertainty measures for general Type-2 fuzzy sets Information Sciences 181 2011 503 518
68. L.G. Zhou, and H.Y. Chen A generalization of the power aggregation operators for linguistic environment and its application in group decision making Knowledge-Based Systems 26 2012 216 224
69. L.G. Zhou, H.Y. Chen, and J.P. Liu Generalized power aggregation operators and their applications in group decision making Computers & Industrial Engineering 62 2012 989 999
70. J.J. Zhu, and K.W. Hipel Multiple stages grey target decision making method with incomplete weight based on multi-granularity linguistic label Information Sciences 212 2012 15 32
71. B. Zhu, Z. Xu, and M. Xia Hesitant fuzzy geometric Bonferroni means Information Sciences 205 2012 72 85