Some new soft sets and decompositions of some soft continuities

Abstract

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