| Title of paper:
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A new similarity measure and new distances for intuitionistic fuzzy sets
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| Author(s):
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| Radoslav Tzvetkov
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| Technical University of Sofia, Boulevard Kliment Ohridski 8 Sofia, Bulgaria
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| rado_tzv@tu-sofia.bg
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| Eulalia Szmidt
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| Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447 Warsaw, Poland
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| szmidt@ibspan.waw.pl
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| Janusz Kacprzyk
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| Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447 Warsaw, Poland
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| kacprzyk@ibspan.waw.pl
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| Presented at:
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5th International Workshop on Intuitionistic Fuzzy Sets, 19 October 2009, Banská Bystrica, Slovakia.
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| Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 15, Number 4, pages 33—39
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| Download:
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 PDF (80 Kb, Info)
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| Abstract:
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This paper is a continuation of our previous works on similarity measures of Atanassov’s intuitionistic fuzzy sets (to be called A-IFSs, for short). The similarity measures we considered used all three functions (membership, non-membership and hesitation) to represent A-IFSs, and examined two kinds of distances – one to an object to be compared, and one to its complement. In this paper we propose some new distances between A-IFSs, and new similarity measures preserving all the advantages of the previously proposed similarity measures and using the new distance functions.
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| References:
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