[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14317/jami.2022.445

𝛽-FUZZY FILTERS OF STONE ALMOST DISTRIBUTIVE LATTICES

ALEMAYEHU, TEFERI GETACHEW (Department of Mathematics, College of Natural and Computational Sciences, Debre Berhan University)
GUBENA, YESHIWAS MEBRAT (Department of Mathematics, College of Natural and Computational Sciences, Debre Tabor University)

Publication Information

Journal of applied mathematics & informatics / v.40, no.3_4, 2022 , pp. 445-460 More about this Journal

Abstract

In this paper, we studied on 𝛽-fuzzy filters of Stone almost distributive lattices. An isomorphism between the lattice of 𝛽-fuzzy filters of a Stone ADL A onto the lattice of fuzzy ideals of the set of all boosters of A is established. The fact that any 𝛽-fuzzy filter of A is an e-fuzzy filter of A is proved. We discuss on some properties of prime 𝛽-fuzzy filters and some topological concepts on the collection of prime 𝛽-fuzzy filters of a Stone ADL. Further we show that the collection 𝓣 = {X^𝛽(λ) : λ is a fuzzy ideal of A} is a topology on 𝓕Spec_𝛽(A) where X^𝛽(λ) = {𝜇 ∈ 𝓕Spec_𝛽(A) : λ ⊈ 𝜇}.

Keywords

Almost distributive lattices; Stone almost distributive lattices; prime ${\beta}$ -fuzzy filter; prime fuzzy ideal; booster; isomorphism;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)

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