A Supplemental Study on Fuzzy Classication Function for Entropy-Regularized Fuzzy Clustering

Abstract

Entropy-regularized Fuzzy c-means is a representative fuzzy clustering algorithm, and its properties have been investigated in detail. In particular, it was proved that the fuzzy classification function value at infinity is crisp, i.e., zero or one under a certain condition. In this report, under the case that the above condition is not satisfied, the fuzzy classification function value at infinity is discussed.