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Pattern Recognition Based on New Distances between Intuitionistic Fuzzy Sets

In the application of intuitionistic fuzzy sets(IFSs), distances and similarity measures play very important roles. In this paper, firstly, the modified definition of normalized distance and degree of similarity between IFSs are introduced, which are proved to be more reasonable than some existing definitions. Then, the relations between normalized distance and degree of similarity are analyzed. New distances and similarity measures between IFSs are proposed and corresponding proofs are given. Finally, a comparison of application to pattern recognitions is made to show the proposed distances and similarity measures are more reasonable than some existing methods.