Soft GE-algebras

Abstract In this paper, we introduce the concept of soft GE-algebras within the framework of GE-algebra theory, extending existing approaches by incorporating principles of soft set theory. We investigate the structural properties of soft GE-algebras, define operations on these structures, and establish criteria for identifying soft subalgebras. Furthermore, we present key theorems that relate the properties of soft GE-algebras to operations such as intersection, union, and mapping, particularly emphasizing the role of GE-morphisms. These findings lay the groundwork for further exploration of soft structures in the context of GE-algebras and their potential applications in decision-making and computational logic.