• Title/Summary/Keyword: prime ordered fuzzy filters

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ORDERED FUZZY FILTERS OF HEYTING ALMOST DISTRIBUTIVE LATTICES

  • WONDIFRAW, YOHANNES GEDAMU;ALEMAYEHU, TEFERI GETACHEW
    • Journal of applied mathematics & informatics
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    • v.39 no.5_6
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    • pp.825-838
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    • 2021
  • In this paper the concept of ordered fuzzy filters is introduced in Heyting almost distributive lattices and the properties of these ordered fuzzy filters are studied. We characterized and proved a set of theorems of ordered fuzzy filters. Some topological properties of prime ordered fuzzy filters are also studied.

INTUITIONISTIC FUZZY FILTERS OF ORDERED SEMIGROUPS

  • Shabir, M.;Khan, A.
    • Journal of applied mathematics & informatics
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    • v.26 no.5_6
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    • pp.1071-1084
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    • 2008
  • The notion of intuitionistic fuzzy filters in ordered semigroups is introduced and relation between intuitionistic fuzzy filters and intuitionistic fuzzy prime ideals is investegated. The notion of intuitionistic fuzzy bi-ideal subsets and intuitionistic fuzzy bi-filters are provided and relation between intuitionistic fuzzy bi-filters and intuitionistic fuzzy prime bi-ideal subsets is established. The concept of intuitionistic fuzzy right filters(1eft filters) is given and their relation with intuitionistic fuzzy prime right (left) ideals is discussed.

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