Comparative Study with Fuzzy Entropy and Similarity Measure: One-to-One Correspondence

Abstract

In this paper we survey the relation between fuzzy entropy measure and similarity measure. Each measure has data uncertainty and similarity. By the one-to-one correspondence, distance measure and similarity measure have complementary characteristics. First we construct similarity measure using distance measure. Verification of usefulness is proved. Furthermore analysis of similarity measure from fuzzy entropy measure is also discussed.KeywordsSimilarity measuredistance measurefuzzy entropyone-to-one correspondence