Fuzzy Entropy of Fuzzy Partition on a Finite Interval

Abstract

In this paper, fuzzy entropy for a fuzzy partition on a finite interval is defined. Fuzzy entropy for a fuzzy partition comprehensively reflects fuzzy degree of a fuzzy partition. Then, some computation formulae of fuzzy entropy for a fuzzy partition are presented. These results will contribute to the analysis and design of fuzzy systems in that how to measure the fuzzy entropy of a fuzzy partition is an important foundation to construct fuzzy entropy for a fuzzy system to reflect fuzzy degree of a fuzzy system which is commonly made up of several fuzzy partitions on different universes of the discourse.