Fuzzy entropy on intuitionistic fuzzy sets: Research Articles

Authors:
Wen-Liang Hung;Miin-Shen Yang
Affiliations:
Department of Applied Mathematics, National Hsinchu University of Education, Hsin-Chu, Taiwan, ROC;Department of Applied Mathematics, Chung Yuan Christian University, Chung-Li, Taiwan, ROC
Venue:
International Journal of Intelligent Systems
Year:
2006

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Objective weights with intuitionistic fuzzy entropy measures and computational experiment analysis

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A theoretical development on the entropy of interval-valued fuzzy sets based on the intuitionistic distance and its relationship with similarity measure

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Uncertainties with Atanassov's intuitionistic fuzzy sets: Fuzziness and lack of knowledge

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Abstract

In this article we exploit the concept of probability for defining the fuzzy entropy of intuitionistic fuzzy sets (IFSs). We then propose two families of entropy measures for IFSs and also construct the axiom definition and properties. Two definitions of entropy for IFSs proposed by Burillo and Bustince in 1996 and Szmidt and Kacprzyk in 2001 are used. The first one allows us to measure the degree of intuitionism of an IFS, whereas the second one is a nonprobabilistic-type entropy measure with a geometric interpretation of IFSs used in comparison with our proposed entropy of IFSs in the numerical comparisons. The results show that the proposed entropy measures seem to be more reliable for presenting the degree of fuzziness of an IFS. © 2006 Wiley Periodicals, Inc. Int J Int Syst 21: 443–451, 2006.