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Some similarity measures of intuitionistic fuzzy sets and their applications to multiple attribute decision making
Authors:Zeshui Xu
Institution:(1) Department of Management Science and Engineering, School of Economics and Management, Tsinghua University, Beijing, 100084, China
Abstract:Atanassov (1986) defined the notion of intuitionistic fuzzy set, which is a generalization of the notion of Zadeh’ fuzzy set. In this paper, we first develop some similarity measures of intuitionistic fuzzy sets. Then, we define the notions of positive ideal intuitionistic fuzzy set and negative ideal intuitionistic fuzzy set. Finally, we apply the similarity measures to multiple attribute decision making under intuitionistic fuzzy environment.
Keywords:Intuitionistic fuzzy set  Positive ideal intuitionistic fuzzy set  Negative ideal intuitionistic fuzzy set  Similarity measure  Multiple attribute decision making
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