Korean J. Math. Vol. 28 No. 4 (2020) pp.775-789
DOI: https://doi.org/10.11568/kjm.2020.28.4.775

$e$-fuzzy filters of stone almost distributive lattices

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Published: Dec 6, 2020
Keywords:
ADL, Stone ADL, $ e $-fuzzy filters, , prime $ e $-fuzzy filters, maximal $ e $-fuzzy filters.
Mathematics Subject Classification:
06D99, 06D05, 06D30

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Yohannes Gedamu Wondifraw
Departement of Mathematics Bahir Dar University Bahir Dar, Ethiopia
Teferi Getachew Alemayehu
Departement of Mathematics Debre Berhan University Debre Berhan , Ethiopia

Abstract

In this paper the concept of $ e $-fuzzy filters is introduced in a Stone Almost Distributive Lattice. Several properties are derived on $ e $-fuzzy filters with the help of maximal fuzzy filters. It is proved that the set of all $ e $-fuzzy filters forms a complete distributive lattice.


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