关键词: 模糊集, 直觉模糊集, 直觉模糊数, 相似度量

Abstract: The concept of intuitionistic fuzzy set originates from the concept of fuzzy set. It has drawn many researchers’ attentions since it is proposed by Atanassov, and has been applied into different fields. As an important research content of intuitionistic fuzzy theory, many different methods have been published by different researchers to measure the similarity between intuitionistic fuzzy sets. However, these methods are not always effective in some special cases. This paper points out the factors influencing similarity measurements between intuitionistic fuzzy sets（values）, analyzes the defects reasons of existing methods, proposes an improved method of similarity measurement which comprehensively considers membership, non-membership, hesitation, core, and their mutual influence, indicates and proves the new features of this method. Numerical results show that this proposed method solves the defects of existing methods, yielding result closer to peoples’ intuitionistic. It provides stronger data distinguish ability.

Key words: fuzzy sets, intuitionistic fuzzy sets, intuitionistic fuzzy values, similarity measures