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http://dx.doi.org/10.11568/kjm.2019.27.4.1077

A NOVEL APPROACH TO INTUITIONISTIC FUZZY SETS IN UP-ALGEBRAS  

Thongngam, Nattaporn (Department of Mathematics and Statistics Faculty of Science, Prince of Songkla University)
Iampan, Aiyared (Department of Mathematics School of Science, University of Phayao)
Publication Information
Korean Journal of Mathematics / v.27, no.4, 2019 , pp. 1077-1108 More about this Journal
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.
Keywords
UP-algebra; intuitionistic fuzzy UP-subalgebra; intuitionistic fuzzy near UP-filter; intuitionistic fuzzy UP-filter; intuitionistic fuzzy UP-ideal; intuitionistic fuzzy strong UP-ideal;
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Times Cited By KSCI : 1  (Citation Analysis)
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