Some types of generalized fuzzy \(n\)-fold filters in residuated lattices (Q2319050)
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| Language | Label | Description | Also known as |
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| English | Some types of generalized fuzzy \(n\)-fold filters in residuated lattices |
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Some types of generalized fuzzy \(n\)-fold filters in residuated lattices (English)
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16 August 2019
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Summary: Fuzzy filters and their generalized types have been extensively studied in the literature. In this paper, a one-to-one correspondence between the set of all generalized fuzzy filters and the set of all generalized fuzzy congruences is established, a quotient residuated lattice with respect to generalized fuzzy filter is induced, and several types of generalized fuzzy \(n\)-fold filters such as generalized fuzzy \(n\)-fold positive implicative (fantastic and Boolean) filters are introduced; examples and results are provided to demonstrate the relations among these filters.
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