Title of paper:
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On some issues related to the distances between the Atanassov intuitionistic fuzzy sets are described on universe with weights
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Author(s):
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Radoslav Tzvetkov
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Technical University of Sofia, Kliment Ohridski St. 8, Sofia-1000, Bulgaria
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rado_tzv8@hotmail.com
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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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14th ICIFS, Sofia, 15-16 May 2010
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Published in:
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"Notes on Intuitionistic Fuzzy Sets", Volume 16 (2010) Number 2, pages 22—30
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Download:
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PDF (63 Kb, File info)
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Abstract:
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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.
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Keywords:
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Intuitionistic fuzzy sets, distances.
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References:
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