Down and up operators associated to fuzzy relations and t-norms: A definition of fuzzy semi-ideals (Q1595209)
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scientific article; zbMATH DE number 1563542
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Down and up operators associated to fuzzy relations and t-norms: A definition of fuzzy semi-ideals |
scientific article; zbMATH DE number 1563542 |
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Down and up operators associated to fuzzy relations and t-norms: A definition of fuzzy semi-ideals (English)
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22 July 2001
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The author considers various generalized definitions of classical notions in set theory and lattices by means of a t-norm, a complete lattice \(L\) and an \(L\)-fuzzy relation \(R\) on a set \(X\). \(LF\)-semi-ideals and \(LF\)-semi-filters are considered and several characterizations are found. Particular cases and examples are shown.
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t-norm
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fuzzy relation
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semi-ideal
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semi-filter
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0.8366221
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0.82100576
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