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Issue:On some issues related to the distances between the Atanassov intuitionistic fuzzy sets are described on universe with weights

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Title of paper: On some issues related to the distances between the Atanassov intuitionistic fuzzy sets are described on universe with weights
Author(s):
Radoslav Tzvetkov
Technical University of Sofia, Kliment Ohridski St. 8, Sofia-1000, Bulgaria
rado_tzv8@hotmail.com
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
Presented at: 14th ICIFS, Sofia, 15-16 May 2010
Published in: Conference proceedings, "Notes on IFS", Volume 16 (2010) Number 2, pages 22—30
Download:  PDF (63  Kb, File info)
Abstract: This paper is a continuation of our previous works on the concepts and properties of distances between the Atanassov intuitionistic fuzzy sets (A-IFSs, for short). We remind the necessity of taking into account all three terms (membership, non-membership and hesitation margin) describing A-IFSs while considering the distances that provides a foundation of our works. Next, we show that the considered three term continuous Hamming distance is the counterpart of the discrete Hamming distance, and is a metric.
Keywords: Intuitionistic fuzzy sets, distances.
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