Relationship between inclusion measure and entropy of fuzzy sets

Authors:
Wenyi Zeng;Qilei Feng;HongXing Li
Affiliations:
School of Mathematical Sciences, Beijing Normal University, Beijing, P.R. China;School of Mathematical Sciences, Beijing Normal University, Beijing, P.R. China;School of Mathematical Sciences, Beijing Normal University, Beijing, P.R. China
Venue:
RSKT'06 Proceedings of the First international conference on Rough Sets and Knowledge Technology
Year:
2006

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Abstract

Inclusion measure and entropy of fuzzy sets are two basic concepts in fuzzy set theory. In this paper, we investigate the relationship between inclusion measure and entropy of fuzzy sets in detail, propose two theorems that inclusion measure and entropy of fuzzy sets can be transformed by each other based on their axiomatic definitions and give some formulas to calculate inclusion measure and entropy of fuzzy sets