SBE-Algebras via Intuitionistic Fuzzy Structures
Makaleler > Tam Makale · 2024
Yazarlar: Tahsin ÖNER, Hashem Bordbar, Akbar Rezei, Neelamegarajan Rajesh
Mathematics, SCI Expanded İndekslerine Giren Dergi, Uluslararası, Wos, 2024, cilt 12, ss 4038-4038
DOI: 10.3390/math12244038
Özet
The study introduces the concept of intuitionistic fuzzy SBE-subalgebras, ideals, and filters, along with level sets of intuitionistic fuzzy sets within the framework of Sheffer stroke BE-algebras. These concepts are shown to be crucial for understanding the behavior of intuitionistic fuzzy logic in this algebraic structure. The study further establishes a bidirectional relationship between subalgebras, ideals, filters, and their respective level sets on Sheffer stroke BE-algebras, demonstrating that the level set of an intuitionistic fuzzy SBE-subalgebra, ideal, or filter is itself a subalgebra, ideal, or filter on this algebra, and vice versa.