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

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Published: Dec 30, 2019
Keywords:
UP-algebra, intuitionistic fuzzy UP-subalgebra, intuitionistic fuzzy near UP-filter, intuitionistic fuzzy UP-filter, intuitionistic fuzzy UP-ideal, intuitionistic fuzzy strongly UP-ideal
Mathematics Subject Classification:
03G25, 03E72

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Nattaporn Thongngam
Department of Mathematics and Statistics Faculty of Science, Prince of Songkla University Songkla 90110, Thailand
Aiyared Iampan
Department of Mathematics School of Science, University of Phayao Phayao 56000, Thailand

Abstract

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.



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