Relationship between similarity measure and entropy of interval valued fuzzy sets

Wenyi Zeng; Hongxing Li

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Relationship between similarity measure and entropy of interval valued fuzzy sets

机译：区间值模糊集的相似度量与熵的关系。

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摘要

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.

机译：在本文中，我们介绍了不同于Bustince和Burillo的区间值模糊集的熵的概念[直觉模糊集和区间值模糊集的熵，模糊集和系统78（1996）305-316]和相似性度量区间值模糊集的概念，详细讨论区间值模糊集的相似性度量和熵之间的关系，证明三个定理可以基于它们的公理定义相互转换区间值模糊集的相似性度量和熵，并提出了一些定理区间值模糊集的熵和相似性度量的公式。

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来源
《Fuzzy sets and systems》 |2006年第11期|p.1477-1484|共8页
作者
Wenyi Zeng; Hongxing Li;
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作者单位

Department of Mathematics, Beijing Normal University, Beijing 100875, PR China;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类模糊数学;
关键词
interval valued fuzzy set; fuzzy set; entropy; similarity measure;

机译：区间值模糊集;模糊集;熵;相似度;

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Relationship between similarity measure and entropy of interval valued fuzzy sets

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