Quantitative comparison of similarity measure and entropy for fuzzy sets
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...
Saved in:
Published in | Journal of Central South University of Technology. Science & technology of mining and metallurgy Vol. 18; no. 6; pp. 2045 - 2049 |
---|---|
Main Authors | , , , |
Format | Journal Article |
Language | English |
Published |
Heidelberg
Central South University
01.12.2011
|
Subjects | |
Online Access | Get full text |
Cover
Loading…
Summary: | 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. |
---|---|
ISSN: | 1005-9784 1993-0666 |
DOI: | 10.1007/s11771-011-0940-y |