Exploring Soft Ideals and Their Applications in Soft σ-Topological Spaces

In this paper, we introduce and investigate the concept of soft sigma-topology, extending the foundational framework of soft set theory. We define soft ideals within these spaces and examine their structural properties and interplay with soft sigma-topological structures. A novel soft operator, psi s sigma, is introduced and analyzed, providing deeper insights into the behavior of soft sets in this context. Our study presents several key results and relationships between soft sigma-topology and soft ideals, contributing to a more comprehensive understanding of their theoretical underpinnings.