Korean J. Math. Vol. 27 No. 3 (2019) pp.595-612
DOI: https://doi.org/10.11568/kjm.2019.27.3.595

$\beta$-fuzzy filters in MS-algebras

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Published: Sep 30, 2019
Keywords:
MS-algebras, boosters, $ \beta $-fuzzy filter, maximal $\beta $- fuzzy filter, prime $ \beta $-fuzzy filter.
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 paper, we introduce the concept of $ \beta $-fuzzy filters in MS-algebras and $ \beta $-fuzzy filters are characterized in terms of boosters. It is proved that the lattice of $ \beta $-fuzzy filters is isomorphic to the fuzzy ideal lattice of boosters.


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