• Title/Summary/Keyword: maximal e-fuzzy filters

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e-FUZZY FILTERS OF STONE ALMOST DISTRIBUTIVE LATTICES

  • Wondifraw, Yohannes Gedamu;Alemayehu, Teferi Getachew
    • Korean Journal of Mathematics
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    • v.28 no.4
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    • pp.775-789
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    • 2020
  • 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.

e-FUZZY FILTERS OF MS-ALGEBRAS

  • Alaba, Berhanu Assaye;Alemayehu, Teferi Getachew
    • Korean Journal of Mathematics
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    • v.27 no.4
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    • pp.1159-1180
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    • 2019
  • 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.