Soft Idealization of a Decomposition Theorem

Abstract

Firstly, we define a new set called soft regular-I-closed set in soft ideal topological spaces and obtain some properties of it. Secondly, to obtain a decomposition of continuity in these spaces, we introduce two notions of soft Hayashi- Samuels space and soft A_{I}-set. Finally, we give a decomposition of continuity in domain Hayashi-Samuels space and in range soft topological space.