Entropy, distance measure and similarity measure of fuzzy sets and their relations
Fuzzy Sets and Systems
Some new information measures for fuzzy sets
Information Sciences: an International Journal
Use of fuzziness measures in layered networks for object extraction: a generalization
Fuzzy Sets and Systems
A distance-based separator representation for pattern classification
Image and Vision Computing
Similarity measure construction using fuzzy entropy and distance measure
ICIC'06 Proceedings of the 2006 international conference on Intelligent computing: Part II
Fuzzy risk analysis based on similarity measures of generalized fuzzy numbers
IEEE Transactions on Fuzzy Systems
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Comparison and data analysis to the similarity measures and entropy for fuzzy sets are studied. The distance proportional value between the fuzzy set and the corresponding crisp set is represented as fuzzy entropy. We also verified that the sum of the similarity measure and the entropy between fuzzy set and the corresponding crisp set constitutes the total information. Finally, we derive a similarity measure from entropy with the help of total information property, and illustrate a simple example that the maximum similarity measure can be obtained using a minimum entropy formulation.