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Issue:Two- and three-parameter representation of intuitionistic fuzzy sets in the context of entropy and similarity

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Title of paper: Two- and three-parameter representation of intuitionistic fuzzy sets in the context of entropy and similarity
Author(s):
Eulalia Szmidt
Systems Research lnstitute - Polish Academy of Sciences, ul. Newelska 6, OL-447 Warsaw, Poland
szmidt@ibspan.waw.pl
Janusz Kacprzyk
Systems Research lnstitute - Polish Academy of Sciences, ul. Newelska 6, OL-447 Warsaw, Poland
kacprzyk@ibspan.waw.pl
Presented at: 11th ICIFS, Sofia, Bulgaria, 28-30 April 2007
Published in: Conference proceedings, "Notes on IFS", Volume 13 (2007) Number 2, pages 8—17
Download:  PDF (193  Kb, File info)
Abstract: This paper is a continuation of our previous papers on entropy and similarity of the Atanassov intuitionistic fuzzy sets (A-IFSs, for short). We discuss the usefulness of taking into account all three functions (membership, non-membership and hesitation margin) describing A-IFSs while considering the entropy and similarity measures. We demonstrate on the examples that the omitting of the hesitation margins in both entropy and similarity measures considered leads sometimes to the counterintuitive results.
Keywords: Intuitionistic fuzzy sets, Entropy, Similarity
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