On soft ỹ generalized closed sets

Abstract

The purpose of this paper is to define some new classes of soft generalized closed sets, namely soft β- ỹg.closed, soft b- ỹg.closed, soft p- ỹg.closed, soft s- ỹg.closed, soft α- ỹg.closed and soft ỹg.closed by using soft ỹ open set. The relationships between these soft sets and the related concepts are investigated. Basic properties of soft β- ỹg.closed, soft b- ỹg.closed, soft p- ỹg.closed, soft s- ỹg.closed, soft α- ỹg.closed and soft ỹg.closed sets are analyzed. Finally, the new soft separation axiom, namely soft ỹ-T 1/2 space is introduced and its basic properties are investigated.