| Title of paper:
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Divergence measures on intuitionistic fuzzy sets
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| Author(s):
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| Vladimír Kobza
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| Department of Mathematics, Matej Bel University, Tajovskeho 40, 974 01 Banská Bystrica, Slovak Republic
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| vladimir.kobza@umb.sk
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| Presented at:
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International Workshop on Intuitionistic Fuzzy Sets, founded by Prof. Beloslav Riečan, 2 December 2022, Banská Bystrica, Slovakia
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| Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 28 (2022), Number 4, pages 413–427
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| DOI:
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https://doi.org/10.7546/nifs.2022.28.4.413-427
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| Download:
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 PDF (192 Kb, Info)
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| Abstract:
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The basic study of fuzzy sets theory was introduced by Lotfi Zadeh in 1965. Many authors investigated possibilities how two fuzzy sets can be compared and the most common kind of measures used in the mathematical literature are dissimilarity measures. The previous approach to the dissimilarities is too restrictive, because the third axiom in the definition of dissimilarity measure assumes the inclusion relation between fuzzy sets. While there exist many pairs of fuzzy sets, which are incomparable to each other with respect to the inclusion relation. Therefore we need some new concept for measuring a difference between fuzzy sets so that it could be applied for arbitrary fuzzy sets. We focus on the special class of so called local divergences. In the next part we discuss the divergences defined on more general objects, namely intuitionistic fuzzy sets. In this case we define the local property modified to this object. We discuss also the relation of usual divergences between fuzzy sets to the divergences between intuitionistic fuzzy sets.
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| Keywords:
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Intuitionistic fuzzy set, Dissimilarity measure, Divergence measure, Local divergence, Entropy measure.
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| AMS Classification:
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03B52.
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| References:
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