Equivalence class in the set of fuzzy numbers and its application in decision-making problems.
Panda, Geetanjali, Panigrahi, Motilal, Nanda, Sudarsan (2006)
International Journal of Mathematics and Mathematical Sciences
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Panda, Geetanjali, Panigrahi, Motilal, Nanda, Sudarsan (2006)
International Journal of Mathematics and Mathematical Sciences
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Ganesan Balasubramanian (1995)
Kybernetika
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Milanka Gardašević-Filipović, Dragan Z. Šaletić (2010)
The Yugoslav Journal of Operations Research
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Milan Mareš (1995)
Kybernetika
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Teresa Riera (1978)
Stochastica
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In finite sets with n elements, every similarity relation (or fuzzy equivalence) can be represented by an n x n-matrix S = (s), s ∈ [0,1], such that s = 1 (1 ≤ i ≤ n), s = s for any i,j and S o S = S, where o denotes the max-min product of matrices. These matrices represent also dendograms and sets of closed balls of a finite ultrametric space (vid. [1], [2], [3]).
Ismat Beg (1999)
Archivum Mathematicum
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The existence of fixed points for monotone maps on the fuzzy ordered sets under suitable conditions is proved.
Stouti, A. (2005)
Acta Mathematica Universitatis Comenianae. New Series
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Hong, Sung Min, Jun, Young Bae, Kim, Seon Jeong, Kim, Gwang Il (2001)
International Journal of Mathematics and Mathematical Sciences
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Adam Grabowski (2014)
Formalized Mathematics
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In this article, we continue the development of the theory of fuzzy sets [23], started with [14] with the future aim to provide the formalization of fuzzy numbers [8] in terms reflecting the current state of the Mizar Mathematical Library. Note that in order to have more usable approach in [14], we revised that article as well; some of the ideas were described in [12]. As we can actually understand fuzzy sets just as their membership functions (via the equality of membership function...