Some mixed soft operations and extremally soft disconnectedness via two soft topologies

Abstract

In this paper, we study the concept of soft sets which is introduced by Molodtsov [5]. We give the definition of (τ τ 1 2 , ) -semi open soft (resp. (τ τ 1 2 , ) -pre open soft, (τ τ 1 2 , ) -α -open soft, (τ τ 1 2 , ) - β -open soft, (τ τ 1 2 , ) ′ -semi open soft, (τ τ 1 2 , ) ′ -pre open soft, (τ τ 1 2 , ) ′ -α -open soft, (τ τ 1 2 , ) ′ - β -open soft) set via two soft topologies. Also we introduce (τ τ 1 2 , ) -regular open soft and ESDC on two soft topologies. The aim of this paper is to investigate properties of some mixed soft operations and characterizations of ESDC. Finally, we study 2 τ -ESDC soft topologies 1 τ .