Multiplicative consistency of interval-valued intuitionistic fuzzy preference relation
作者： Huchang Liao , Zeshui Xu , Meimei Xia
DOI: 10.3233/IFS-141256
关键词:
摘要: Interval-valued intuitionistic fuzzy preference relation (IVIFPR) is an important structure in representing information comprehensively. This paper focuses on the multiplicative consistency of IVIFPR. Some concepts, such as approximate consistent IVIFPR, perfect IVIFPR and acceptable are defined. Then, a desirable property investigated. Two algorithms developed to construct approximate/perfect Since inconsistent common but unreasonable deriving priorities iterative procedure proposed improve Furthermore, convergent approach for group decision making with IVIFPRs. Several numerical examples given illustrate validity applicability procedures.
sci-hub.se 参考文章(28)
E. Szmidt, J. Kacprzyk, Using intuitionistic fuzzy sets in group decision making Control and Cybernetics. ,vol. 31, pp. 1055- 1057 ,(2002)
Huchang Liao, Zeshui Xu, Automatic procedures for group decision making with intuitionistic fuzzy preference relations Journal of Intelligent and Fuzzy Systems. ,vol. 27, pp. 2341- 2353 ,(2014) , 10.3233/IFS-141203
Huchang Liao, Zeshui Xu, Multi-criteria decision making with intuitionistic fuzzy PROMETHEE Journal of Intelligent and Fuzzy Systems. ,vol. 27, pp. 1703- 1717 ,(2014) , 10.3233/IFS-141137
Zeshui Xu, Intuitionistic Fuzzy Aggregation Operators IEEE Transactions on Fuzzy Systems. ,vol. 15, pp. 1179- 1187 ,(2007) , 10.1109/TFUZZ.2006.890678
Krassimir T. Atanassov, Operators over interval valued intuitionistic fuzzy sets Fuzzy Sets and Systems. ,vol. 64, pp. 159- 174 ,(1994) , 10.1016/0165-0114(94)90331-X
Krassimir T. Atanassov, Intuitionistic fuzzy sets Fuzzy Sets and Systems. ,vol. 20, pp. 87- 96 ,(1986) , 10.1016/S0165-0114(86)80034-3
ZS Xu, None, Intuitionistic preference relations and their application in group decision making Information Sciences. ,vol. 177, pp. 2363- 2379 ,(2007) , 10.1016/J.INS.2006.12.019
Zeshui Xu, Huchang Liao, Intuitionistic Fuzzy Analytic Hierarchy Process IEEE Transactions on Fuzzy Systems. ,vol. 22, pp. 749- 761 ,(2014) , 10.1109/TFUZZ.2013.2272585
HUCHANG LIAO, ZESHUI XU, MEIMEI XIA, MULTIPLICATIVE CONSISTENCY OF HESITANT FUZZY PREFERENCE RELATION AND ITS APPLICATION IN GROUP DECISION MAKING International Journal of Information Technology and Decision Making. ,vol. 13, pp. 47- 76 ,(2014) , 10.1142/S0219622014500035
Eulalia Szmidt, Janusz Kacprzyk, A consensus-reaching process under intuitionistic fuzzy preference relations International Journal of Intelligent Systems. ,vol. 18, pp. 837- 852 ,(2003) , 10.1002/INT.10119