Generalized intuitionistic fuzzy geometric interaction operators and their application to decision making

Expert Systems with Applications

Volumn 41, Issue 5, 2014, Pages 2484-2495

  He, Yingdong ^a   Chen, Huayou ^a   Zhou, Ligang ^a   Han, Bing ^a   Zhao, Qianyi ^a   Liu, Jinpei ^a  

^a ANHUI UNIVERSITY   (China)

Author keywords

Decision making; Generalized intuitionistic fuzzy aggregation operators; Interaction; Intuitionistic fuzzy sets

Indexed keywords

AGGREGATION OPERATOR; GEOMETRIC INTERPRETATION; INTERACTION; INTUITIONISTIC FUZZY; INTUITIONISTIC FUZZY AGGREGATION OPERATORS; INTUITIONISTIC FUZZY SETS; MULTIPLE ATTRIBUTES DECISION MAKING; OPERATIONAL LAWS;

DECISION MAKING; GEOMETRY; MATHEMATICAL OPERATORS;

FUZZY SETS;

EID: 84890118989     PISSN: 09574174     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.eswa.2013.09.048     Document Type: Article

References (31)

1. K. Atanassov Intuitionistic fuzzy sets Fuzzy Sets and Systems 20 1986 87 96
2. K. Atanassov New operations defined over the intuitionistic fuzzy sets Fuzzy Sets and Systems 61 1994 137 142
3. 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
4. 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
5. 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
6. 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
7. 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
8. S.K. De, R. Biswas, and A.R. Roy Some operations on intuitionistic fuzzy sets Fuzzy Sets and Systems 114 2000 477 484
9. 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
10. J.C. Harsanyi Cardinal welfare, individualistic ethics, and interpersonal comparisons of utility Journal of Political Economy 63 1955 309 321
11. Y.D. He, H.Y. Chen, L.G. Zhou, J.P. Liu, and Z.F. Tao Intuitionistic fuzzy geometric interaction averaging operators and their application to multi-criteria decision making Information Sciences 2013
12. 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
13. 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
14. T.L. Saaty The analytic hierarchy process 1980 McGraw Hill New York
15. 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 2012 2026 2034
16. Z.S. Xu An overview of methods for determining OWA weights International Journal of Intelligent System 20 2005 843 865
17. Z.S. Xu Intuitionistic fuzzy aggregation operations IEEE Transactions on Fuzzy Systems 15 2007 1179 1187
18. Z.S. Xu Approaches to multiple attribute group decision making based on intuitionistic fuzzy power aggregation operators Knowledge-Based Systems 24 2010 772 782
19. Z.S. Xu, and Q.L. Da The ordered weighted geometric averaging operators International Journal of Intelligent System 17 2002 709 716 (Pubitemid 34745919)
20. Z.S. Xu, and M.M. Xia Induced generalized intuitionistic fuzzy operators Knowledge-Based Systems 24 2011 197 209
21. 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 (Pubitemid 44726498)
22. 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
23. J. Ye Multicriteria fuzzy decision-making method using entropy weights-based correlation coefficiences of interval-valued intuitionistic fuzzy sets Applied Mathematical Modelling 34 2010 3864 3870
24. X.H. Yu, and Z.S. Xu Prioritized intuitionistic fuzzy aggregation operators Information Fusion 14 2013 108 116
25. L.A. Zadeh Fuzzy set Information Control 8 1965 338 353
26. Z.M. Zhang Generalized Atanassov's intuitionistic fuzzy power geometric operators and their application to multiple attribute group decision making Information Fusion 14 2013 460 486
27. H. Zhao, Z.S. Xu, M.F. Ni, and S.S. Liu Generalized aggregation operators for intuitionistic fuzzy sets International Journal of Intelligent Systems 25 2010 1 30
28. 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
29. 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
30. 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
31. B. Zhu, Z.S. Xu, and M.M. Xia Hesitant fuzzy geometric Bonferroni means Information Sciences 205 2012 72 85