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Issue:A new similarity measure for intuitionistic fuzzy sets and its use in supporting a medical diagnosis

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Title of paper: A new similarity measure for intuitionistic fuzzy sets and its use in supporting a medical diagnosis
Author(s):
Eulalia Szmidt
Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447 Warsaw, Poland
szmidt@ibspan.waw.pl
Janusz Kacprzyk
Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447 Warsaw, Poland
kacprzyk@ibspan.waw.pl
Mikhail Matveev
CLBME-BAS, Sofia-1113, Acad. G. Bonchev Str., Bl. 105
mgm@clbme.bas.bg
Presented at: 9th International Conference on Intuitionistic Fuzzy Sets, Sofia, 7-8 May 2005
Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 11 (2005), Number 4, pages 130-138
Download:  PDF (5679  Kb, File info)
Abstract: We propose a new measure of similarity for intuitionistic fuzzy sets, and use it in supporting a medical diagnosis. The proposed measure takes into account two kinds of distances — one to an object to be compared, and one to its complement. We infer about the similarity of preferences on the basis of a difference between the two types of distances. We show that inferring without taking into account a distance to a complement of an object can be misleading. The proposed here the new measure of similarity is simpler from a point of view of calculations than the measure we have proposed previously.
Keywords: fuzzy sets, intuitionistic fuzzy sets, similarity
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