Approaches to Constructing Similarity Measures from Fuzzy Sets to Intuitionistic Fuzzy Sets

The similarity measure of intuitionistic fuzzy sets is an important part of the study in intuitionistic fuzzy mathematics. From fuzzy sets view, we proposed construction method of intuitionistic fuzzy set similarity. Firstly, based on fuzzy sets similarity, we obtained measures of similarity between the memberships and non memberships of intuitionistic fuzzy, and then put forward approach to constructing similarity measures from fuzzy sets to intuitionistic fuzzy sets. Secondly, by using of the existing similarity measures of fuzzy sets, we worked out seventeen new similarities of intuitionistic fuzzy sets. Finally, an example demonstrated the application of these new similarities to pattern recognition.