4.4 Article

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

Journal

FUZZY OPTIMIZATION AND DECISION MAKING
Volume 6, Issue 2, Pages 109-121

Publisher

SPRINGER
DOI: 10.1007/s10700-007-9004-z

Keywords

intuitionistic fuzzy set; positive ideal intuitionistic fuzzy set; negative ideal intuitionistic fuzzy set; similarity measure; multiple attribute decision making

Funding

  1. the National Natural Science Foundation of China [70571087, 70321001]
  2. the National Science Fund [70625005]
  3. China Postdoctoral Science Foundation [20060390051]

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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.

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