Paper Info
Title
Quantitative comparison of similarity measure and entropy for fuzzy sets
Abstract
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.
Year
DOI
Venue
2009
10.1007/s11771-011-0940-y
中南大学学报(英文版)
Keywords
Field
DocType
fuzzy entropy,minimum uncertainty,quantitative comparison,similarity measure,data analysis,fuzzy set
Data mining,Discrete mathematics,Similarity measure,Minimum entropy,Information theory and measure theory,Fuzzy measure theory,Algorithm,Fuzzy set,Fuzzy entropy,Mathematics
Conference
Volume
Issue
ISSN
18
06
1005-9784
Citations 
PageRank 
References 
2
0.46
13
Authors
3
Name
Order
Citations
PageRank
Hongmei Wang13113.44
Sanghyuk Lee227743.22
H.-J. Kim3255.38