Some new mixed soft sets

Abstract

In this paper we introduce the concepts of (τ1, τ2) - R - closed, (τ1, τ2) - AR−, (τ1, τ2) - αAN1−, (τ1, τ2) - αAN2−, (τ1, τ2) - αNA1−, (τ1, τ2) - αNA2−, (τ1, τ2) - αNA3−, (τ1, τ2) - αNA4− and (τ1, τ2) - αNA5− soft sets in the two soft topological spaces and show the relationships between defined new mixed soft sets. Also we investigate some properties of these soft sets. Moreover, we define the notions of mixed R -, mixed AR−, mixed αAN1−, mixed αAN2−, mixed αNA1−, mixed αNA2−, mixed αNA3−, mixed αNA4− and mixed αNA5− soft continuity. Finally, we obtain decomposition of mixed AR - soft continuity, mixed α - soft continuity and τ1 - soft continuity using two soft topological space.