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Analysis between Similarity and Dissimilarity Measure for Fuzzy Sets
이상혁(Sang-Hyuk Lee),김상진(Sangjin Kim),김채형(Jaehyung Kim) 한국지능시스템학회 2008 한국지능시스템학회 학술발표 논문집 Vol.18 No.2
In this paper, we have surveyed the relation between similarity measure and dissimilarity measure for fuzzy sets. First, we study the entropy for fuzzy set and similarity for corresponding crisp set. By the obtaining result, we pointed out that the similarity between fuzzy set and corresponding complementary fuzzy set satisfy fuzzy entropy. We also found out that the summation of similarity and dissimilarity measure between fuzzy set and complementary fuzzy set constitute total information of fuzzy set itself. With the obtained result we have extended the results to two data group fuzz sets. In the process of designing similarity measure and dissimilarity, we also proved the usefulness of proposed measures. We can also verified and discussed the one-to-one correspondence characteristics between similarity measure and dissimilarity measure(entropy).