SHEFFER STROKE BE-ALGEBRAS BASED ON THE SOFT SET ENVIRONMENT −BEجبرهای شفر استروک بر اساس مجموعه های نرم

Abstract

In this paper, we introduce the concept of soft Sheffer stroke BE-algebras, offering a novel perspective on their algebraic properties within the framework of soft set theory. These algebras provide a flexible and adaptable approach to logical operations, allowing the seamless integration of fuzzy and crisp information. Moreover, we delve into the concept of soft Sheffer stroke sub-BE-algebras and thoroughly examine the properties of these structures. Through our analysis, we uncover interesting connections between soft sets, Sheffer stroke operations, and the foundational BE-algebraic structure. The outcomes presented in this paper enhance our understanding of algebraic structures that revolve around Sheffer stroke operations in the realm of soft sets. This research a Mathematical foundation that holds promise for applications in decision making, information fusion, and uncertain reasoning.