Journal
FUZZY SETS AND SYSTEMS
Volume 157, Issue 11, Pages 1477-1484Publisher
ELSEVIER
DOI: 10.1016/j.fss.2005.11.020
Keywords
interval valued fuzzy set; fuzzy set; entropy; similarity measure
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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. (C) 2005 Elsevier B.V. All rights reserved.
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