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.