Ranked Soft Groups and its Applications

In this article, we extend the concept of soft groups to ranked soft groups, which also serve as a generalization of fuzzy soft groups, addressing some of their limitations. We begin by introducing the definition of ranked soft groups, accompanied by illustrative examples and applications. Building on this foundation, we develop the notions of normalistic ranked soft groups and their homomorphisms. Furthermore, we explore various related properties and examine the structures preserved under normalistic ranked soft group homomorphisms.