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L-fuzzy congruences and L-fuzzy kernel ideals in Ockham algebras - MaRDI portal

L-fuzzy congruences and L-fuzzy kernel ideals in Ockham algebras (Q2230056)

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L-fuzzy congruences and L-fuzzy kernel ideals in Ockham algebras
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    L-fuzzy congruences and L-fuzzy kernel ideals in Ockham algebras (English)
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    17 September 2021
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    Summary: In this paper, we study fuzzy congruence relations and kernel fuzzy ideals of an Ockham algebra \((A, f)\), whose truth values are in a complete lattice satisfying the infinite meet distributive law. Some equivalent conditions are derived for a fuzzy ideal of an Ockham algebra \(A\) to become a fuzzy kernel ideal. We also obtain the smallest (respectively, the largest) fuzzy congruence on \(A\) having a given fuzzy ideal as its kernel.
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