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Fuzzy rank-preserving operators - MaRDI portal

Fuzzy rank-preserving operators (Q1066227)

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scientific article; zbMATH DE number 3925000
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Fuzzy rank-preserving operators
scientific article; zbMATH DE number 3925000

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    Fuzzy rank-preserving operators (English)
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    1986
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    The authors study linear operators T on the set of \(n\times m\) fuzzy matrices and show that the following conditions are equivalent: (1) T preserves rank; (2) T preserves ranks 1 and 2; (3) T is UXV or \(UX^ TV\), U, V permutations; (4) T is bijective and preserves rank 1.
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    rank preserving
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    fuzzy matrices
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