Multi-attribute decision making based on neutral averaging operators for intuitionistic fuzzy information

Applied Soft Computing Journal

Volumn 27, Issue , 2015, Pages 64-76

  He, Yingdong ^a,b   Chen, Huayou ^b   He, Zhen ^a   Zhou, Ligang ^b  

^a TIANJIN UNIVERSITY   (China)

^b ANHUI UNIVERSITY   (China)

Author keywords

Intuitionistic fuzzy sets; Intuitionistic fuzzy weighted neutral operators; Multi attribute decision making; Neutrality operation; Scalar neutrality operation

Indexed keywords

FUZZY RULES; MEMBERSHIP FUNCTIONS; PROBABILITY DISTRIBUTIONS;

INTUITIONISTIC FUZZY; INTUITIONISTIC FUZZY SETS; MULTI ATTRIBUTE DECISION MAKING; NEUTRALITY OPERATION; SCALAR NEUTRALITY OPERATION;

DECISION MAKING;

EID: 84912105882     PISSN: 15684946     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.asoc.2014.10.039     Document Type: Article

References (40)

1. K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets Syst. 80 (1986) 87-96.
2. K. Atanassov, New operations defined over the intuitionistic fuzzy sets, Fuzzy Sets Syst. 61 (1994) 137-142.
3. T. Calvo, G. Mayor, R. Mesiar, Aggregation Operators: New Trends and Applications, Physica-Verlag, Heidelberg, Germany, 2002.
4. H.Y. Chen, L.G. Zhou, An approach to group decision making with interval fuzzy preference relations based on induced generalized continuous ordered weighted averaging operator, Expert Syst. Appl. 38 (2011) 13432-13440.
5. H.Y. Chen, L.G. Zhou, B. Han, On compatibility of uncertain additive linguistic preference relations and its application in the group decision making, Knowl.-Based Syst. 24 (2011) 816-823.
6. S.M. Chen, J.M. Tan, Handling multi-criteria fuzzy decision-making problems based on vague set theory, Fuzzy Sets Syst. 67 (1994) 163-172.
7. G. Deschrijver, E.E. Kerre, On the relationship between some extensions of fuzzy set theory, Fuzzy Sets Syst. 133 (2003) 227-235.
8. G. Deschrijver, E.E. Kerre, On the composition of intuitionistic fuzzy relations, Fuzzy Sets Syst. 136 (2003) 333-361.
9. G. Deschrijver, E.E. Kerre, Implicators based on binary aggregation operators in interval-valued fuzzy set theory, Fuzzy Sets Syst. 153 (2005) 229-248.
10. G. Deschrijver, The Archimedean property for t-norms in interval-valued fuzzy set theory, Fuzzy Sets Syst. 157 (2006) 2311-2327.
11. G. Deschrijver, Arithmetic operators in interval-valued fuzzy set theory, Inform. Sci. 177 (2007) 2906-2924.
12. G. Deschrijver, A representation of t-norms in interval-valued L-fuzzy set theory, Fuzzy Sets Syst. 159 (2008) 1597-1618.
13. G. Deschrijver, Generalized arithmetic operators and their relationship to t-norms in interval-valued fuzzy set theory, Fuzzy Sets Syst. 160 (2009) 3080-3102.
14. G. Deschrijver, P. Král, On the representation of cardinalities of interval-valued fuzzy sets: the valuation property, Fuzzy Sets Syst. 211 (2013) 99-119.
15. S.K. De, R. Biswas, A.R. Roy, Some operations on intuitionistic fuzzy sets, Fuzzy Sets Syst. 114 (2000) 477-484.
16. L. Dymova, P. Sevastjinov, An interpretation of intuitionistic fuzzy sets in terms of evidences theory: decision making aspect, Knowl.-Based Syst. 23 (2010) 772-782.
17. J.C. Harsanyi, Cardinal welfare, individualistic ethics, and interpersonal comparisons of utility, J. Polit. Econ. 63 (1955) 309-321.
18. D.H. Hong, C.H. Choi, Multicriteria fuzzy decision-making problems based on vague set theory, Fuzzy Sets Syst. 114 (2000) 103-113.
19. Y.D. He, H.Y. Chen, L.G. Zhou, J.P. Liu, Z.F. Tao, Intuitionistic fuzzy geometric interaction averaging operators and their application to multi-criteria decision making, Inform. Sci. 259 (2014) 142-159.
20. Y.D. He, H.Y. Chen, L.G. Zhou, B. Han, Q.Y. Zhao, J.P. Liu, Generalized intuitionistic fuzzy geometric interaction operators and their application to decision making, Expert Syst. Appl. 41 (2014) 2484-2495.
21. Y.D. He, H.Y. Chen, L.G. Zhou, J.P. Liu, Z.F. Tao, Generalized interval-valued Atanassov's intuitionistic fuzzy power operators and their application to multiple attribute group decision making, Int. J. Fuzzy Syst. 15 (2013) 401-411.
22. Z. He, P.F. Zhu, S.H. Park, A robust desirability function method for multi-response surface optimization considering model uncertainty, Eur. J. Oper. Res. 221 (2012) 241-247.
23. G. Klir, B. Yuan, Fuzzy Sets and Fuzzy Logic: Theory and Applications, Prentice-Hall, Englewood Cliffs, NJ, 1995.
24. J.M. Merigó, A.M. Gil-Lafuente, L.G. Zhou, H.Y. Chen, Generalization of the linguistic aggregation operator and its application in decision making, J. Syst. Eng. Electron. 22 (2011) 593-603.
25. T.L. Saaty, The Analytic Hierarchy Process, McGraw-Hill, New York, 1980.
26. Z.S. Xu, Intuitionistic fuzzy aggregation operations, IEEE Trans. Fuzzy Syst. 15 (2007) 1179-1187.
27. Z.S. Xu, R.R. Yager, Some geometric aggregation operators based on intuitionistic fuzzy sets, Int. J. Gen. Syst. 4 (2006) 417-433.
28. Z.S. Xu, An overview of methods for determining OWA weights, Int. J. Intell. Syst. 20 (2005) 843-865.
29. Z.S. Xu, Approaches to multiple attribute group decision making based on intuitionistic fuzzy power aggregation operators, Knowl.-Based Syst. 24 (2010) 772-782.
30. Z.S. Xu, M.M. Xia, Induced generalized intuitionistic fuzzy operators, Knowl.-Based Syst. 24 (2011) 197-209.
31. Z.S. Xu, Uncertain Multiple Attribute Decision Making: Methods and Applications, Tsinghua University Press, Beijing, China, 2004.
32. R.R. Yager, J. Kacprzyk, The Ordered Weighted Averaging Operator: Theory and Application, Kluwer, Norwell, MA, 1997.
33. R.R. Yager, On ordered weighted averaging aggregation operators in multi-criteria decision making, IEEE Trans. Syst. Man Cybern. 18 (1988) 183-190.
34. J. Ye, Multicriteria fuzzy decision-making method using entropy weights-based correlation coefficients of interval-valued intuitionistic fuzzy sets, Appl. Math. Model. 34 (2010) 3864-3870.
35. L.A. Zadeh, Fuzzy set, Inform. Control 8 (1965) 338-353.
36. L.G. Zhou, H.Y. Chen, A generalization of the power aggregation operators for linguistic environment and its application in group decision making, Knowl.-Based Syst. 26 (2012) 216-224.
37. L.G. Zhou, H.Y. Chen, J.P. Liu, Generalized power aggregation operators and their applications in group decision making, Comput. Ind. Eng. 62 (2012) 989-999.
38. L.G. Zhou, H.Y. Chen, Continuous generalized OWA operator and its application to decision making, Fuzzy Sets Syst. 168 (2011) 18-34.
39. L.G. Zhou, H.Y. Chen, J.M. Merigó, A.M. Gil-Lafuente, Uncertain generalized aggregation operators, Expert Syst. Appl. 39 (2012) 1105-1117.
40. B. Zhu, Z.S. Xu, M.M. Xia, Hesitant fuzzy geometric Bonferroni means, Inform. Sci. 205 (2012) 72-85.