• Title/Summary/Keyword: intuitionistic fuzzy strong UP-ideal

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A NOVEL APPROACH TO INTUITIONISTIC FUZZY SETS IN UP-ALGEBRAS

  • Thongngam, Nattaporn;Iampan, Aiyared
    • Korean Journal of Mathematics
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    • v.27 no.4
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    • pp.1077-1108
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    • 2019
  • The notions of intuitionistic fuzzy UP-subalgebras and intuitionistic fuzzy UP-ideals of UP-algebras were introduced by Kesorn et al. [13]. In this paper, we introduce the notions of intuitionistic fuzzy near UP-filters, intuitionistic fuzzy UP-filters, and intuitionistic fuzzy strong UP-ideals of UP-algebras, prove their generalizations, and investigate their basic properties. Furthermore, we discuss the relations between intuitionistic fuzzy near UP-filters (resp., intuitionistic fuzzy UP-filters, intuitionistic fuzzy strong UP-ideals) and their upper t-(strong) level subsets and lower t-(strong) level subsets in UP-algebras.