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- Title
A Novel Extension of Cubic Sets in UP-Algebras: Intuitionistic Cubic Sets.
- Authors
Kaewprasert, Phonthita; Inthiban, Phattharaphon; Ditepang, Wanvalee; Iampan, Aiyared
- Abstract
In this paper, we introduce the concepts of intuitionistic cubic UP-subalgebras, intuitionistic cubic near UP-filters, intuitionistic cubic UP-filters, intuitionistic cubic UP-ideals, and intuitionistic cubic strong UP-ideals of UP-algebras, prove their gener-alizations, and investigate their basic properties. Furthermore, we discuss the relations between intuitionistic cubic UP-subalgebras (resp., intuitionistic cubic near UP-filters, intuitionistic cubic UP-filters, intuitionistic cubic UP-ideals, intuitionistic cubic strong UP-ideals) and their level subsets of UP-algebras. Finally, we introduce the paral-lel concepts of anti-intuitionistic cubic UP-subalgebras, anti-intuitionistic cubic near UP-filters, anti-intuitionistic cubic UP-filters, anti-intuitionistic cubic UP-ideals, and anti-intuitionistic cubic strong UP-ideals of UP-algebras.
- Publication
Southeast Asian Bulletin of Mathematics, 2022, Vol 46, Issue 3, p327
- ISSN
0129-2021
- Publication type
Academic Journal