Some similarity measures of intuitionistic fuzzy sets and their applications to multiple attribute decision making

Authors:
Zeshui Xu
Affiliations:
Department of Management Science and Engineering, School of Economics and Management, Tsinghua University, Beijing, China 100084
Venue:
Fuzzy Optimization and Decision Making
Year:
2007

Citing 26
Cited 29

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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.