A decomposition of some types of mixed soft continuity in soft topological spaces

Abstract

In this paper, we study the concept of soft sets which is introduced by Molodtsov [5] and the notion of soft continuity is introduced by Zorlutuna et al. [8]. We give the definition of (tau(1), tau(2)) -semi open soft (resp. (tau(1), tau(2)) - pre open soft, (tau(1), tau(2)) - alpha - open soft, (tau(1), tau(2)) - beta - open soft) set via two soft topologies. We introduce mixed semi -soft (resp. mixed pre - soft, mixed alpha - soft, mixed beta - soft) continuity between two soft topological spaces (X, tau(1), A); (X, tau 2, A) and a soft topological space (Y, tau, B). Also we prove that a function is mixed alpha - soft continuous if and only if it is both mixed pre -soft continuous and mixed semi soft continuous.