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Issue:Entropy for intuitionistic fuzzy set theory and mass assignment theory

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Title of paper: Entropy for intuitionistic fuzzy set theory and mass assignment theory
Author(s):
Eulalia Szmidt
Systems Research Institute, Polish Academy of Sciences, nl. Newelska 6, 01-447 Warsaw, Poland
szmidt@ibspan.waw.pl
Jim Baldwin
Department of Engineering Mathematics, University of Bristol, Bristol BS8 1TR, England
Jim.Baldwin@bristol.ac.uk
Presented at: 8th International Conference on Intuitionistic Fuzzy Sets, Varna, 20-21 June 2004
Published in: "Notes on IFS", Volume 10 (2004) Number 3, pages 15—28
Download:  PDF (856  Kb, File info)
Abstract: In this article we remind parallels for intuitionistic fuzzy sets and mass assignment theory, and propose a non-probabilistic-type entropy measure for both of them. The proposed measure is a result of a common geometric interpretation valid for these theories, and uses a ratio of distances between considering elements/support pairs and crisp elements. It is also shown that the proposed measure can be defined in terms of the ratio of cardinalities: of X ⋂ Xc and X ⋃ Xc.
Keywords: intuitionistic fuzzy sets, mass assignment theory, entropy
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