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Generalizations of \((\in,\in\vee q)\)-fuzzy filters in \(R_0\)-algebras. - MaRDI portal

Generalizations of \((\in,\in\vee q)\)-fuzzy filters in \(R_0\)-algebras. (Q979001)

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scientific article; zbMATH DE number 5726449
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Generalizations of \((\in,\in\vee q)\)-fuzzy filters in \(R_0\)-algebras.
scientific article; zbMATH DE number 5726449

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    Generalizations of \((\in,\in\vee q)\)-fuzzy filters in \(R_0\)-algebras. (English)
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    25 June 2010
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    Summary: Generalizations of a part of the paper by \textit{X. Ma} et al. [Math. Log. Q. 55, No. 5, 493--508 (2009; Zbl 1183.03063)] are considered. As a generalization of an \((\in ,\in \vee q)\)-fuzzy filter, the notion of an \((\in ,\in \vee _{q_{k}})\)-fuzzy filter is introduced, and its characterizations are provided. The implication-based fuzzy filters of an \(R_{0}\)-algebra are discussed.
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