Maximal column rank preservers of fuzzy matrices

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]).

Fixed points of fuzzy monotone maps

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.

$α$ -fuzzy fixed points for $α$ -fuzzy monotone multifunctions.

Stouti, A. (2005)

Acta Mathematica Universitatis Comenianae. New Series

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