Korean J. Math.  Vol 27, No 4 (2019)  pp.1077-1108
DOI: https://doi.org/10.11568/kjm.2019.27.4.1077

A novel approach to intuitionistic fuzzy sets in UP-algebras

Nattaporn Thongngam, Aiyared Iampan


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.


UP-algebra; intuitionistic fuzzy UP-subalgebra; intuitionistic fuzzy near UP-filter; intuitionistic fuzzy UP-filter; intuitionistic fuzzy UP-ideal; intuitionistic fuzzy strongly UP-ideal

Subject classification

03G25; 03E72


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