Displaying similar documents to “Maximal column rank preservers of fuzzy matrices”

How similarity matrices are?

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]).

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.

The Formal Construction of Fuzzy Numbers

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...