Multi-fuzzy set similarity measures using S and T operations

Abstract

This paper introduces some similarity measures on multi-fuzzy set, enhancing multi-fuzzy set analysis through a weighting mechanism using S and T operations. Using a fuzzy matrix, we define a weighted relation, summarizing the characteristics of multi-fuzzy set M in relation to a weighted column matrix A. The relation A≤is established by comparing membership grades and weighted elements, expressing similarity or dissimilarity within elements of X.