Some intuitionistic fuzzy Einstein hybrid aggregation operators and their application to multiple attribute decision making

Knowledge-Based Systems

Volumn 37, Issue , 2013, Pages 472-479

  Zhao, Xiaofei ^a   Wei, Guiwu ^a  

^a CHONGQING UNIVERSITY OF ARTS AND SCIENCES   (China)

Author keywords

Intuitionistic fuzzy Einstein hybrid averaging (IFEHA) operator; Intuitionistic fuzzy Einstein hybrid geometric (IFEHG) operator; Intuitionistic fuzzy numbers; Multiple attribute decision making (MADM); Operational laws

Indexed keywords

AGGREGATION OPERATOR; EXPONENTIATIONS; ILLUSTRATIVE EXAMPLES; INTUITIONISTIC FUZZY; INTUITIONISTIC FUZZY INFORMATIONS; INTUITIONISTIC FUZZY NUMBER; INTUITIONISTIC FUZZY SETS; MULTIPLE ATTRIBUTE DECISION MAKING; OPERATIONAL LAWS; RESEARCH DIRECTIONS;

FUZZY RULES; FUZZY SET THEORY; GEOMETRY; MATHEMATICAL OPERATORS;

DECISION MAKING;

EID: 84870063316     PISSN: 09507051     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.knosys.2012.09.006     Document Type: Article

References (59)

1. K. Atanassov Intuitionistic fuzzy sets Fuzzy Sets and Systems 20 1986 87 96
2. K. Atanassov More on intuitionistic fuzzy sets Fuzzy Sets and Systems 33 1989 7 46
3. L.A. Zadeh Fuzzy sets Information and Control 8 1965 338 356
4. R. Yager Some aspects of intuitionistic fuzzy sets Fuzzy Optimization and Decision Making 8 2009 67 90
5. 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
6. Z.S. Xu Multi-person multi-attribute decision making models under intuitionistic fuzzy environment Fuzzy Optimization and Decision Making 6 2007 221 236
7. M.M. Xia, Z.S. Xu, and B. Zhu Some issues on intuitionistic fuzzy aggregation operators based on Archimedean t-conorm and t-norm Knowledge-Based Systems 31 2012 78 88
8. D.J. Yu Interval-valued intuitionistic fuzzy prioritized operators and their application in group decision making Knowledge-Based Systems 30 2012 57 66
9. H. Bustince, and P. Burillo Correlation of interval-valued intuitionistic fuzzy sets Fuzzy Sets and Systems 74 2 1995 237 244
10. H. Bustince Construction of intuitionistic fuzzy relations with predetermined properties Fuzzy Sets and Systems 109 2000 379 403
11. D.J. Yu Group decision making based on generalized intuitionistic fuzzy prioritized geometric operator International Journal of Intelligent Systems 27 2012 635 661
12. C.Q. Tan Generalized intuitionistic fuzzy geometric aggregation operator and its application to multi-criteria group decision making Soft Computing 15 2011 867 876
13. M.M. Xia, and Z.S. Xu Entropy/cross entropy-based group decision making under intuitionistic fuzzy environment Information Fusion 13 2012 31 47
14. M.M. Xia, and Z.S. Xu Some new similarity measures for intuitionistic fuzzy values and their application in group decision making Journal of Systems Science and Systems Engineering 19 2010 430 452
15. Z.W. Gong, L.S. Li, J. Forrest, and Y. Zhao The optimal priority models of the intuitionistic fuzzy preference relation and their application in selecting industries with higher meteorological sensitivity Expert Systems with Applications 38 2011 4394 4402
16. Z.W. Gong, L.S. Li, F.X. Zhou, and T.X. Yao Goal programming approaches to obtain the priority vectors from the intuitionistic fuzzy preference relations Computers & Industrial Engineering 57 2009 1187 1193
17. D.F. Li Multiattribute decision making method based on generalized OWA operators with intuitionistic fuzzy sets Expert Systems with Applications 37 2010 8673 8678
18. D.F. Li TOPSIS-based nonlinear-programming methodology for multiattribute decision making with interval-valued intuitionistic fuzzy sets IEEE Transactions on Fuzzy Systems 18 2010 299 311
19. D.F. Li Closeness coefficient based nonlinear programming method for interval-valued intuitionistic fuzzy multiattribute decision making with incomplete preference information Applied Soft Computing 11 2011 3402 3418
20. D.F. Li The GOWA operator based approach to multiattribute decision making using intuitionistic fuzzy sets Mathematical and Computer Modelling 53 2011 1182 1196
21. G.W. Wei Maximizing deviation method for multiple attribute decision making in intuitionistic fuzzy setting Knowledge-Based Systems 21 2008 833 836
22. G.W. Wei GRA method for multiple attribute decision making with incomplete weight information in intuitionistic fuzzy setting Knowledge-Based Systems 23 2010 243 247
23. G.W. Wei Gray relational analysis method for intuitionistic fuzzy multiple attribute decision making Expert Systems with Applications 38 2011 11671 11677
24. G.W. Wei, and X.F. Zhao Minimum deviation models for multiple attribute decision making in intuitionistic fuzzy setting International Journal of Computational Intelligence Systems 4 2011 174 183
25. G.W. Wei, H.J. Wang, and R. Lin Application of correlation coefficient to interval-valued intuitionistic fuzzy multiple attribute decision making with incomplete weight information Knowledge and Information Systems 26 2 2011 337 349
26. P. Grzegorzewski Distances between intuitionistic fuzzy sets and/or interval-valued fuzzy sets based on the Hausdorff metric Fuzzy Sets and Systems 148 2004 319 328
27. D.H. Hong, and C.H. Choi Multicriteria fuzzy problems based on vague set theory Fuzzy Sets and Systems 114 2000 103 113
28. R. Yager Some aspects of intuitionistic fuzzy sets Fuzzy Optimization and Decision Making 8 2009 67 90
29. J. Ye Fuzzy decision-making method based on the weighted correlation coefficient under intuitionistic fuzzy environment European Journal of Operational Research 205 2010 202 204
30. J. Ye Multicriteria fuzzy decision-making method using entropy weights-based correlation coefficients of interval-valued intuitionistic fuzzy sets Applied Mathematical Modelling 34 2010 3864 3870
31. J. Ye Expected value method for intuitionistic trapezoidal fuzzy multicriteria decision-making problems Expert Systems with Applications 38 2011 11730 11734
32. J. Ye Fuzzy cross entropy of interval-valued intuitionistic fuzzy sets and its optimal decision-making method based on the weights of alternatives Expert Systems with Applications 38 2011 6179 6183
33. Z.L. Yue Deriving decision maker's weights based on distance measure for interval-valued intuitionistic fuzzy group decision making Expert Systems with Applications 38 2011 11665 11670
34. Z.S. Xu Intuitionistic fuzzy aggregation operators IEEE Transactions on Fuzzy Systems 15 6 2007 1179 1187
35. Z.S. Xu, and R.R. Yager Some geometric aggregation operators based on intuitionistic fuzzy sets International Journal of General System 35 2006 417 433
36. Z.S. Xu Approaches to multiple attribute group decision making based on intuitionistic fuzzy power aggregation operators Knowledge-Based Systems 24 6 2011 749 760
37. Z.S. Xu, and R.R. Yager Intuitionistic Fuzzy Bonferroni Means IEEE Transactions on Systems Man and Cybernetics Part B-Cybernetics 41 2011 568 578
38. Z.S. Xu, and M.M. Xia Induced generalized intuitionistic fuzzy operators Knowledge-Based Systems 24 2 2011 197 209
39. Z.S. Xu, and R.R. Yager Dynamic intuitionistic fuzzy multi-attribute decision making International Journal of Approximate Reasoning 48 1 2008 246 262
40. G.W. Wei Some geometric aggregation functions and their application to dynamic multiple attribute decision making in intuitionistic fuzzy setting International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 17 2 2009 179 196
41. G.W. 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
42. G.W. Wei, and X.F. Zhao Some induced correlated aggregating operators with intuitionistic fuzzy information and their application to multiple attribute group decision making Expert Systems with Applications 39 2 2012 2026 2034
43. S.Z. Zeng, and W.H. Su Intuitionistic fuzzy ordered weighted distance operator Knowledge-Based Systems 24 2011 1224 1232
44. G. Beliakov, H. Bustince, D.P. Goswami, U.K. Mukherjee, and N.R. Pal On averaging operators for Atanassov's intuitionistic fuzzy sets Information Sciences 181 2011 1116 1124
45. W.Z. Wang, X.W. Liu, Intuitionistic fuzzy information aggregation using Einstein operations, IEEE Transactions on Fuzzy Systems (in press).
46. W.Z. Wang, and X.W. Liu Intuitionistic fuzzy geometric aggregation operators based on Einstein operations International Journal of Intelligent Systems 26 2011 1049 1075
47. S.M. Chen, and J.M. Tan Handling multicriteria fuzzy decision-making problems based on vague set theory Fuzzy Sets and Systems 67 1994 163 172
48. R.R. Yager On ordered weighted averaging aggregation operators in multicriteria decision making IEEE Transactions on Systems Man and Cybernetics 18 1988 183 190
49. E.P. Klement, R. Mesiar, and E. Pap Triangular norms. Position paper I: basic analytical and algebraic properties Fuzzy Sets System 143 1 2004 5 26
50. 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
51. Z.S. Xu, and Q.L. Da An overview of operators for aggregating information International Journal of Intelligent System 18 2003 953 969
52. J.M. Merigó, and M. Casanovas Fuzzy generalized hybrid aggregation operators and its application in decision making International Journal of Fuzzy Systems 12 1 2010 15 24
53. P.D. Liu, F. Jin, X. Zhang, Y. Su, and M.H. Wang Research on the multi-attribute decision-making under risk with interval probability based on prospect theory and the uncertain linguistic variables Knowledge-Based Systems 24 4 2011 554 561
54. P.D. Liu, and Y. Su The multiple attribute decision making method based on the TFLHOWA operator Computers and Mathematics with Applications 60 9 2010 2609 2615
55. P.D. Liu, and X. Zhang The study on multi-attribute decision-making with risk based on linguistic variable International Journal of Computational Intelligence Systems 3 5 2010 601 609
56. P.D. Liu A novel method for hybrid multiple attribute decision making Knowledge-Based Systems 22 5 2009 388 391
57. P.D. Liu, and F. Jin A multi-attribute group decision-making method based on weighted geometric aggregation operators of interval-valued trapezoidal fuzzy numbers Applied Mathematical Modelling 36 6 2012 2498 2509
58. 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
59. P.D. Liu, X. Zhang, and F. Jin A multi-attribute group decision-making method based on interval-valued trapezoidal fuzzy numbers hybrid harmonic averaging operators Journal of Intelligent & Fuzzy Systems 23 2012 159 168