Lukasiewicz Fuzzy Set Theory Applied to SBE-Algebras
Makaleler > Tam Makale · 2025
Yazarlar: Tahsin ÖNER, Hashem Bordbar, Neelamegarajan Rajesh, Akbar Rezaei
Mathematics, SCI Expanded İndekslerine Giren Dergi, Uluslararası, Wos, 2025, cilt 13, ss 3203-3203
DOI: 10.3390/math13193203
Özet
In this paper, we utilize the Lukasiewicz t-norm to construct a novel class of fuzzy sets, termed ζ-Lukasiewicz fuzzy sets, derived from a given fuzzy framework. These sets are then applied to the structure of Sheffer stroke BE-algebras (SBE-algebras). We introduce and examine the concepts of ζ-Lukasiewicz fuzzy SBE-subalgebras and ζ-Lukasiewicz fuzzy SBE-ideals, with a focus on their algebraic properties. Furthermore, we define three specific types of subsets, referred to as ∈-sets, q-sets, and O-sets, and investigate the necessary conditions for these subsets to constitute subalgebras or ideals within the SBE-algebraic context.