Quantitative comparison of similarity measure and entropy for fuzzy sets

作     者：JUNG Dong-yean CHOI Jung-Wook PARK Wook-Je LEE Sang-Hyuk 

作者机构：Daeho Tech Changwon Gyeongnam Institute for Information and Electronics Research Inha University Department of Electrical and Electronic Engineering Xi'an Jiaotong-Liverpool University 

出 版 物：《Journal of Central South University》 (中南大学学报（英文版）)

年 卷 期：2011年第18卷第6期

页      面：2045-2049页

核心收录：

学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 081104[工学-模式识别与智能系统] 08[工学] 0835[工学-软件工程] 0811[工学-控制科学与工程] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：Project(2010-0020163) supported by Priority Research Centers Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education  Science and Technology  Korea 

主　　题：similarity measure fuzzy entropy minimum uncertainty quantitative comparison 

摘      要：Comparison and data analysis with the similarity measures and entropy for fuzzy sets were carried out. The distance proportional value between the fuzzy set and the corresponding crisp set was considered by the fuzzy entropy. The relation between the similarity measure and the entropy for fuzzy set was also analyzed. The fuzzy entropy was reformulated as the dissimilarity measure. Furthermore, crisp set having the minimum uncertainty with respect to the corresponding fuzzy set was also proposed. Finally, derivation of a similarity measure from entropy with the help of total information property was derived. A simple example shows the relation between similarity measure and fuzzy entropy, in which the summation of similarity measure and fuzzy entropy represents a constant value.