Korean J. Math. Vol. 27 No. 4 (2019) pp.1159-1180
DOI: https://doi.org/10.11568/kjm.2019.27.4.1159

$e$-Fuzzy filters of MS-algebras

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Published: Dec 30, 2019
Keywords:
MS-algebras, e-fuzzy filters, D-fuzzy filter, prime e-fuzzy filters, maximal e-fuzzy filters.
Mathematics Subject Classification:
06D99, 06D05, 06D30

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Berhanu Assaye Alaba
Departement of Mathematics Bahir Dar university Bahir Dar, Ethiopia
Teferi Getachew Alemayehu
Departement of Mathematics Debre Berhan University Debre Berhan , Ethiopia

Abstract

In this article, we present the notion of $ e$-fuzzy filters in an MS-Algebra and characterize in terms of equivalent conditions. The concept of $ D $-fuzzy filters is studied and the set of equivalent conditions under which every $ e $-fuzzy filter is an $ D $-fuzzy filter are observed. Moreover we study some properties of the space of all prime $ e $-fuzzy filters of an MS-algebra.


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