L-Fuzzy Congruences and L-Fuzzy Kernel Ideals in Ockham Algebras

Teferi Getachew Alemayehu, Derso Abeje Engidaw, Gezahagne Mulat Addis and Basil Papadopoulos

Journal of Mathematics, 2021, vol. 2021, 1-12

Abstract: 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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:6644443

DOI: 10.1155/2021/6644443

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