On new decompositions of some soft continuity types

Abstract

In this paper, we introduce the concepts of δ - open soft sets, β ∗ - soft sets in a soft topological space and so we define the notions of δ - soft continuity, β ∗ - soft continuity between soft topological spaces via δ - open, β ∗ - soft sets. Also, we obtain decompositions of semi - soft continuity and α - soft continuity via δ - soft continuity. Finally, we show that a function is soft continuous if and only if it is both α - soft continuous and β ∗ - soft continuous.