Entropy/cross entropy-based group decision making under intuitionistic fuzzy environment

Authors:
Meimei Xia;Zeshui Xu
Affiliations:
School of Economics and Management, Southeast University, Nanjing 211189, China;School of Economics and Management, Southeast University, Nanjing 211189, China
Venue:
Information Fusion
Year:
2012

Citing 40
Cited 7

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Abstract

We study the group decision making problem under intuitionistic fuzzy environment. Based on entropy and cross entropy, we give two methods to determine the optimal weights of attributes, and develop two pairs of entropy and cross entropy measures for intuitionistic fuzzy values. Then, we discuss the properties of these measures and the relations between them and the existing ones. Furthermore, we introduce three new aggregation operators, which treat the membership and non-membership information fairly, to aggregate intuitionistic fuzzy information. Finally, several practical examples are presented to illustrate the developed methods.