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

Tahsin Oner; Hashem Bordbar; Neelamegarajan Rajesh; Akbar Rezaei

doi:10.5269/bspm.76490

Tahsin Oner
Hashem Bordbar University of Nova Gorica
Neelamegarajan Rajesh
Akbar Rezaei

Abstract

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.

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