Relationship between similarity measure and entropy of interval valued fuzzy sets

doi:10.1016/j.fss.2005.11.020

Fuzzy Sets and Systems

Volume 157, Issue 11, 1 June 2006, Pages 1477-1484

https://doi.org/10.1016/j.fss.2005.11.020 Get rights and content

Abstract

In this paper, we introduce concepts of entropy of interval valued fuzzy set which is different from Bustince and Burillo [Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets, Fuzzy Sets and Systems 78 (1996) 305–316] and similarity measure of interval valued fuzzy sets, discuss their relationship between similarity measure and entropy of interval valued fuzzy sets in detail, prove three theorems that similarity measure and entropy of interval valued fuzzy sets can be transformed by each other based on their axiomatic definitions and put forward some formulas to calculate entropy and similarity measure of interval valued fuzzy sets.

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^☆: Supported by National Natural Science Foundation of China (60474023), Science and Technology Key Project Fund of Ministry of Education (03184), and the Major State Basic Research Development Program of China (2002CB312200).

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Relationship between similarity measure and entropy of interval valued fuzzy sets☆

Abstract

Fuzzy Sets and Systems

Fuzzy Sets and Systems

Inform. and Control

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Fuzzy Sets and Systems