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Fuzzy similarity measure based on fuzzy sets

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Treść / Zawartość
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This paper extends the notion of fuzzy similarity measure between fuzzy sets. A definite class of fuzzy similarity measures between fuzzy sets is also introduced. Using some theorems and examples, it is shown that the introduced extended similarity measures satisfy many common and desired properties, based on the common axiomatic definitions, introduced for fuzzy similarity measures. Some illustrative and practical examples from the areas of pattern recognition and approximate reasoning systems are provided in order to present the possible applications of the proposed fuzzy similarity measures.
Rocznik
Strony
71--86
Opis fizyczny
Bibliogr. 48 poz., rys., tab.
Twórcy
autor
  • Department of Statistics, Payame Noor University, Tehran 19395-3697, Iran
Bibliografia
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  • [6] Bouchon-Meunier, B., Coletti, G., Lesot, M.J. and Rifqi, M. (2010) Towards a conscious choice of a fuzzy similarity measure: a qualitative point of view. In: E. Hullermeier, R. Kruse, F. Hoffmann, eds., IPMU 2010, LNAI 6178, Springer- Verlag, Berlin Heidelberg, 1-10.
  • [7] Boulmakoul, A., Laarabi, M.H., Sacile, R. and Garbolino, E. (2013) Ranking triangular fuzzy numbers using fuzzy set inclusion index. Fuzzy Logic and Applications. LNCS 8256, 100-108.
  • [8] Chachi, J. and Taheri, S.M. (2013) A unified approach to similarity measures between intuitionistic fuzzy sets. International Journal of Intelligent Systems 28, 669-685.
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  • [40] Valvis, E. (2009) A new linear ordering of fuzzy numbers on subsets of F(R). Fuzzy Optimization and Decision Making 8, 141-163.
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  • [46] Zhang, H., Zhang, W. and Mei, C. (2009) Entropy of interval-valued fuzzy sets based on distance and its relationship with similarity measure. Knowledge-Based Systems 22, 449-454.
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Uwagi
PL
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-5713f658-b529-4e07-a8ae-cb87566cd2ca
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