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New Definition and Properties of Fuzzy Entropy

Qing Ming Qin Yingbing

西南交通大学学报(英文版)2006,Vol.14Issue(4):404-407,4.
西南交通大学学报(英文版)2006,Vol.14Issue(4):404-407,4.

New Definition and Properties of Fuzzy Entropy

New Definition and Properties of Fuzzy Entropy

Qing Ming 1Qin Yingbing1

作者信息

  • 1. Department of Mathematics, Southwest Jiaotong University, Chengdu 610031, China
  • 折叠

摘要

Abstract

Let X = (x1,x2 ,…,xn ) and F(X) be a fuzzy set on a universal set X. A new definition of fuzzy entropy about a fuzzy set A on F(X), e*, is defined based on the order relation "≤" on [0,1/2] n. It is proved that e* is a σ-entropy under an additional requirement. Besides, some entropy formulas are presented and related properties are discussed.

关键词

Fuzzy entropy/σ-entropy/Fuzzy set

Key words

Fuzzy entropy/σ-entropy/Fuzzy set

分类

数理科学

引用本文复制引用

Qing Ming,Qin Yingbing..New Definition and Properties of Fuzzy Entropy[J].西南交通大学学报(英文版),2006,14(4):404-407,4.

基金项目

The National Natural Science Foundation of China (No. 60474022) and the Fundamental Science Foundation of Southwest Jiaotong University (No. 2004B08) (No. 60474022)

西南交通大学学报(英文版)

2662-4745

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