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

Information FusionPublished 23 December 2010
Meimei Xia, Zeshui Xu
Citations284
SJR quartileQ1
SJR score4.13
SNIP4.60

TL;DR

Two methods to determine the optimal weights of attributes are given, and three new aggregation operators are introduced, which treat the membership and non-membership information fairly, to aggregate intuitionistic fuzzy information.

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.

Keywords

Computer ScienceDecision SciencesMathematics