SHEFFER STROKE BE-ALGEBRAS BASED ON THE SOFT SET ENVIRONMENT

Document Type : Original Manuscript

Authors

1 Ege Üniversitesi Fen Fakültesi Matematik Bölümü C-Blok C206

2 Department of Mathematics, Faculty of Scinece, Ege University, Izmir, 35100, Turkey

3 Gyeongsang National University, Korea

4 Shahid Bahonar University

10.22044/jas.2024.14076.1794

Abstract

In this paper, we handle the concept of Sheffer stroke BE-algebras within the framework of soft sets. We introduce the notion of Sheffer stroke BE-algebras based on the soft set environment, providing a novel perspective on their algebraic properties. These soft Sheffer stroke BE-algebras extend a flexible and adaptable approach to logical operations, allowing for the combination of fuzzy and crisp information. Furthermore, we reveal the concept of soft Sheffer stroke sub-BE-algebras and we investigate the properties of these structures. Our analysis put forward intriguing connections among soft sets, Sheffer stroke operations, and the underlying BE-algebraic structure. The results given in this paper contribute to the broader understanding of algebraic structures basis with Sheffer stroke operation in the context of soft sets and provide potential applications in fields such as decision-making, information fusion, and uncertain reasoning.

Keywords

Journal of Algebraic Systems

Articles in Press, Accepted Manuscript
Available Online from 09 April 2024

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