Similarity Coefficients by Fuzzy Contingency Table applying t-norm and its Evaluation

Abstract

The authors have defined a fuzzy contingency table (type-1/type-2 fuzzy contingency table) by applying　t-norm. Then, this enabled the fuzzification of typical similarity indices in general set theory into type-1/type-2　fuzzy contingency tables. In this paper, we propose a vector similarity calculation method using fuzzy　contingency table and a similarity evaluation method using MDS and multiple regression analysis, and evaluate　the similarity of correlated simulated data as its simulation.