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http://dx.doi.org/10.11568/kjm.2019.27.3.595

𝛽-FUZZY FILTERS IN MS-ALGEBRAS  

Alaba, Berhanu Assaye (Departement of Mathematics Bahir Dar University)
Alemayehu, Teferi Getachew (Departement of Mathematics Debre Berhan University)
Publication Information
Korean Journal of Mathematics / v.27, no.3, 2019 , pp. 595-612 More about this Journal
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.
Keywords
MS-algebras; boosters; ${\beta}$-fuzzy filter; maximal ${\beta}$-fuzzy filter; prime ${\beta}$-fuzzy filter;
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