Intuitionistic fuzzy geometric interaction averaging operators and their application to multi-criteria decision making

Information Sciences

Volumn 259, Issue , 2014, Pages 142-159

  He, Yingdong ^a   Chen, Huayou ^a   Zhou, Ligang ^a   Liu, Jinpei ^a   Tao, Zhifu ^a  

^a ANHUI UNIVERSITY   (China)

Author keywords

Decision making; Intuitionistic fuzzy geometric interaction averaging operator; Intuitionistic fuzzy set; Probability hetergeneous (PH) operator; Probability non membership (PN) function operator

Indexed keywords

AGGREGATION OPERATOR; AVERAGING OPERATORS; GEOMETRIC INTERPRETATION; GEOMETRIC OPERATIONS; INTUITIONISTIC FUZZY; INTUITIONISTIC FUZZY SETS; MULTI-CRITERIA DECISION MAKING; MULTIPLE ATTRIBUTES DECISION MAKING;

DECISION MAKING; GEOMETRY; MATHEMATICAL OPERATORS; PROBABILITY;

FUZZY SETS;

EID: 84889644218     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2013.08.018     Document Type: Article

References (51)

1. M. Akram Bipolar fuzzy graphs Information Sciences 181 2011 5548 5564
2. M. Akram, and W.A. Dudek Intuitionistic fuzzy hypergraphs with applications Information Sciences 218 2013 182 193
3. K. Atanassov Intuitionistic fuzzy sets Fuzzy Sets and Systems 20 1986 87 96
4. K. Atanassov New operations defined over the intuitionistic fuzzy sets Fuzzy Sets and Systems 61 1994 137 142
5. 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
6. G. Beliakov, S. James, J. Mordelová, T. Rückschlossová , and R.R. Yager Generalized Bonferroni mean operators in multi-criteria aggregation Fuzzy Sets and Systems 161 2010 2227 2242
7. T. Calvo, G. Mayor, and R. Mesiar Aggregation Operators: New Trends and Applications 2002 Physica-Verlag Heidelberg
8. S.M. Chen, and T.S. Li Evaluating students' answerscripts based on interval-valued intuitionistic fuzzy sets Information Sciences 235 2013 308 322
9. 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
10. H.Y. Chen, and L.G. Zhou An approach to group decision making with interval fuzzy preference relations based on induced generalized continuous ordered weighted averaging operator Expert Systems with Applications 38 2011 13432 13440
11. H.Y. Chen, L.G. Zhou, and B. Han On compatibility of uncertain additive linguistic preference relations and its application in the group decision making Knowledge-Based Systems 24 2011 816 823
12. S.K. De, R. Biswas, and A.R. Roy Some operations on intuitionistic fuzzy sets Fuzzy Sets and Systems 114 2000 477 484
13. L. Dymova, and P. Sevastjinov An interpretation of intuitionistic fuzzy sets in terms of evidences theory: decision making aspect Knowledge-Based Systems 23 2010 772 782
14. 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
15. J.C. Harsanyi Cardinal welfare, individualistic ethics, and interpersonal comparisons of utility Journal of Political Economy 63 1955 309 321
16. D.H. Hong, and C.H. Choi Multicriteria fuzzy decision-making problems based on vague set thoery Fuzzy Sets and Systems 114 2000 103 113
17. 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
18. G. Klir, and B. Yuan Fuzzy Sets and Fuzzy Logic: Theory and Applications 1995 Prentice-Hall New Jersey
19. J.Q. Li, G.D. Deng, H.X. Li, and W.Y. Zeng The relationship of intuitionistic fuzzy sets between similarity measure and entropy Information Sciences 188 2012 314 321
20. D. Martinetti, V. Janiš, and S. Montes Cuts of intuitionistic fuzzy sets respecting fuzzy connectives Information Sciences 232 2013 267 275
21. J.M. Merigó, A.M. Gil-Lafuente, L.G. Zhou, and H.Y. Chen Generalization of the linguistic aggregation operator and its application in decision making Journal of Systems Engineering and Electronics 22 2011 593 603
22. E.I. Papageorgiou, and D.K. Iakovidis Intuitionistic fuzzy cognitive maps IEEE Transactions on Fuzzy Systems 21 2013 342 354
23. B. Pekala Properties of Atanassov's intuitionistic fuzzy relations and Atanassov's operators Information Sciences 213 2012 84 93
24. T.L. Saaty The Analytic Hierarchy Process 1980 McGraw Hill New York
25. E. Szmidt, J. Kacprzyk, P.Bujnowski, How to measure the amount of knowledge conveyed by Atanassov's intuitionistic fuzzy sets, Information Sciences 257 (2014) 276-285.
26. V. Torra The weighted OWA operator International Journal of Intelligent System 12 1997 153 166
27. V. Torra Information Fusion in Data Mining 2003 Springer-Verlag New York
28. X.Z. Wang, and C.R. Dong Improving generalization of fuzzy if-then rules by maximizing fuzzy entropy IEEE Transactions on Fuzzy Systems 17 2009 556 567
29. Z.J. Wang, and K.W. Li Goal programming approaches to deriving interval weights based on interval fuzzy preference relations Information Sciences 193 2012 180 198
30. Z.S. Xu Uncertain Multiple Attribute Decision Making: Methods and Applications 2004 Tsinghua University Press Beijing
31. Z.S. Xu An overview of methods for determining OWA weights International Journal of Intelligent System 20 2005 843 865
32. Z.S. Xu Intuitionistic fuzzy aggregation operations IEEE Transactions on Fuzzy Systems 15 2007 1179 1187
33. Z.S. Xu Approaches to multiple attribute group decision making based on intuitionistic fuzzy power aggregation operators Knowledge-Based Systems 24 2010 772 782
34. Z.S. Xu, and Q.L. Da The ordered weighted geometric averaging operators International Journal of Intelligent System 17 2002 709 716
35. Z.S. Xu, and Q.L. Da An overview of operators for aggregating information International Journal of Intelligent System 18 2003 953 969
36. Z.S. Xu, and M.M. Xia induced generalized intuitionistic fuzzy operators Knowledge-Based Systems 24 2011 197 209
37. 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
38. R.R. Yager On ordered weighted averaging aggregation operators in multi-criteria decision making IEEE Transactions on Systems, Man and Cybernetics 18 1988 183 190
39. R.R. Yager, and J. Kacprzyk The Ordered Weighted Averaging Operator: Theory and Application 1997 Kluwer Norwell, MA
40. J. Ye Multicriteria fuzzy decision-making method using entropy weights-based correlation coefficiences of interval-valued intuitionistic fuzzy sets Applied Mathematicals Modelling 34 2010 3864 3870
41. X.H. Yu, and Z.S. Xu Prioritized intuitionistic fuzzy aggregation operators Information Fusion 14 2013 108 116
42. L.A. Zadeh Fuzzy set Information Control 8 1965 338 353
43. J.H. Zhai Fuzzy decision tree based on fuzzy-rough technique Soft Computing 15 2011 1087 1096
44. J.H. Zhai, H.Y. Xu, and X.Z. Wang Dynamic ensemble extreme learning machine based on sample entropy Soft Computing 16 2012 493 1502
45. X.H. Zhang, B. Zhou, and P. Li A general frame for intuitionistic fuzzy rough sets Information Sciences 216 2012 34 49
46. Z.M. Zhang Generalized intuitionistic fuzzy rough sets based on intuitionistic fuzzy coverings Information Sciences 198 2012 186 206
47. L.G. Zhou, and H.Y. Chen Continuous generalized OWA operator and its application to decision making Fuzzy Sets and Systems 168 2011 18 34
48. L.G. Zhou, H.Y. Chen, J.M. Merigó, and A.M. Gil-Lafuente Uncertain generalized aggregation operators Expert Systems with Applications 39 2012 1105 1117
49. 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
50. L.G. Zhou, H.Y. Chen, and J.P. Liu Generalized power aggregation operators and their applications in group decision making Computers and Industrial Engineering 62 2012 989 999
51. B. Zhu, Z.S. Xu, and M.M. Xia Hesitant fuzzy geometric Bonferroni means Information Sciences 205 2012 72 85