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Issue:New similarity measures for intuitionistic fuzzy set theory and mass assignment theory

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Title of paper: New similarity measures for intuitionistic fuzzy set theory and mass assignment theory
Author(s):
Eulalia Szmidt
Systems Research Institute Polish Academy of Sciences, ul. 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: Seventh International Conference on IFSs, Sofia, 23-24 August 2003
Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 9 (2003) Number 3, pages 60-76
Download:  PDF (10661  Kb, File info)
Abstract: We show some similarities/parallels between mass assignment theory and intuitionistic fuzzy set theory. Mass assignment theory is well known tool for dealing with both probabilistic and fuzzy uncertainties. On the other hand intuitionistic fuzzy set theory is an extension of fuzzy set theory which makes it possible to describe imprecise information. Next, we propose a new measure of similarity for both theories. The proposed measure takes into account not only a pure distance between elements but answers the questions if the considered elements/objects are more similar or more dissimilar. It is shown that even if a distance between objects is small, it can happen that the objects are completely dissimilar.
Keywords: Fuzzy sets, Intuitionistic fuzzy sets, Mass assignment theory, Similarity measures.
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