In the present paper we introduce and study new classes of soft separation axioms in soft bitopological spaces, namely, soft (1,2)*-omega separation axioms and weak soft (1,2)*-omega separation axioms by using the concept of soft (1,2)*-omega open sets. The equivalent definitions and basic properties of these types of soft separation axioms also have been studied.

In this article we introduce and characterize new types of soft sets in soft bitopological spaces, namely, soft (1,2)*-omega difference sets (briefly soft (1,2)*ω D-sets) and weak forms of soft (1,2)*-omega difference sets. Moreover we use these soft sets to study new types of soft separation axioms, namely, soft (1,2)*-ωj ω  b D-set and soft (1,2)*ω β D-set.

In this paper, we introduce and study new classes of soft open sets in soft bitopological spaces called soft (1,2)*-omega open sets and weak forms of soft (1,2)*-omega open sets such as soft (1,2)*-α-ω-open sets, soft (1,2)*-pre-ω-opensets, soft (1,2)*-b-ω-open sets, and soft (1,2)*-β-ω-open sets. Moreover; some basic properties and the relation among these concepts and other concepts also have been studied.