SR-fuzzy set theory applied to Sheffer Stroke BG-Algebras

Résumé

The paper introduces and elucidates the concept of an SR-fuzzy SBG-subalgebra and a level set of an SR-fuzzy set within the framework of Sheffer stroke BG-algebras. These concepts play a pivotal role in comprehending the nuances of SR-logic within this algebraic setting. By establishing a correlation between subalgebras and level sets, the study unveils a fundamental relationship essential for understanding the algebraic structure. Specifically, it demonstrates that the level set of SR-fuzzy SBG-subalgebras corresponds to the subalgebra of the algebra, and vice versa, indicating a profound interconnection between these two concepts within this algebraic structure.