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

Teferi Getachew Alemayehu | Zendy; Derso Abeje Engidaw | Zendy; Gezahagne Mulat Addis | Zendy

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

Author(s) -

Teferi Getachew Alemayehu,

Derso Abeje Engidaw,

Gezahagne Mulat Addis

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/6644443

Subject(s) - mathematics , congruence relation , fuzzy logic , kernel (algebra) , ideal (ethics) , congruence (geometry) , fuzzy subalgebra , algebra over a field , lattice (music) , discrete mathematics , fuzzy set , pure mathematics , fuzzy number , artificial intelligence , computer science , philosophy , physics , geometry , epistemology , acoustics

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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