On m-polar (α, β)-fuzzy Sheffer stroke Hilbert algebras
نویسندگان
1 Department of Mathematics, Faculty of Science, Ege University, 35100 Izmir, Turkey.
2 Department of Mathematics, Rajah Serfoji Government College, (Affliated to Bharathdasan University), Thanjavur-613005, Tamilnadu, India.
3 Department of Mathematics, School of Advanced Sciences, VIT-AP University, Andhra Pradesh-522237, India.
4 Department of Mathematics, Payame Noor University, P.O. Box 19395-4697, Tehran, Iran.
doi
10.22105/jfea.2025.482982.1664چکیده
This paper aims to develop and expand several concepts related to the generalization of fuzzy sets within the framework of Sheffer stroke Hilbert algebras. We introduce the concept of m-polar (α, β)-fuzzy structures and investigate their application to Sheffer stroke Hilbert algebras. In particular, we define m-polar (α, β)-fuzzy subalgebras and m-polar (α, β)-fuzzy ideals in the context of these algebras. To better understand these definitions, we provide a range of examples that illustrate their properties and behavior. Furthermore, we explore the relationships between these newly introduced notions and their implications for the structure of Sheffer stroke Hilbert algebras, offering insights into how they interact with existing algebraic frameworks.
