On Structral Properties of Soft Epigroups

This study explores the interplay between soft set theory and the algebraic structure of epigroups by introducing the notion of soft epigroups. Foundational properties of soft epigroups are developed, along with key characterizations that underpin their structure. Furthermore, the study constructs the category of soft epigroups, providing a categorical framework for their analysis. The concept of soft subepigroup is also introduced, and several structural properties pertaining to these substructures are investigated in detail.