New similarity measures of intuitionistic fuzzy sets and application to pattern recognitions

The concept of an intuitionistic fuzzy set (IFS), which is a generalization of the concept of a fuzzy set (FS), has been introduced by K. Atanassov. Although many measures of similarity, between FSs have been proposed in the literature, those measures cannot deal with the similarity measures between IFSs. In this paper, first, the definition of the degree of similarity between IFSs is introduced. Then, several new similarity measures between IFSs are proposed and corresponding proofs are given. Finally, the similarity measures of IFSs are applied to pattern recognitions. (C) 2002 Elsevier Science B.V. All rights reserved.