On compositions of lattice matrices (Q698798)
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scientific article; zbMATH DE number 1809974
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On compositions of lattice matrices |
scientific article; zbMATH DE number 1809974 |
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On compositions of lattice matrices (English)
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30 September 2002
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The paper examines the inf-sup product of matrices over a lattice (the dual product), which brings a generalization of results of \textit{M. Z. Ragab} and \textit{E. G. Emam} [Fuzzy Sets Syst. 75, No.~1, 83-92 (1995; Zbl 0860.15013)] in the lattice \(([0,1],\max,\min)\). In the case of the pseudocomplemented lattice (infinitely distributive lattice) properties of the residuated coimplication are examined [cf. \textit{B. De Baets}, Tatra M. Math. Publ. 12, 229-240 (1997; Zbl 0954.03029)]. The obtained results have some consequences in the associated matrix lattice.
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pseudocomplemented lattice
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pseudocomplement
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lattice matrix
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inf-sup product
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inf-difference product
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