Three Classes of Soft Functions Via Soft -Open Sets and Soft -Closed Sets

Abstract

This paper introduces novel concepts of soft functions known as soft -irresolute, soft -open, and soft -closed function as well as some of their properties. The interrelationships of this newly defined soft functions with other types of soft functions are investigated, and the behaviors of soft -irresolute (resp., soft -open, and soft -closed) functions under soft composition are studied. Finally, using soft -open sets, the concepts of soft -Hausdorff space are introduced and investigated.

Keywords

• soft S_p-open set, soft S_p-closed set, soft S_p-irresolute function, soft S_p-Hausdorff space, soft S_p-open function, soft S_p-closed function.