Soft ( 1 , 2 ) *-Omega Separation Axioms and Weak Soft ( 1 , 2 ) *-Omega Separation Axioms in Soft Bitopological Spaces

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.


Introduction
Soft set theory was firstly introduced by Molodtsov [1] in 1999 as a new mathematical tool for dealing with uncertainty while modeling problems in computer science, economics, engineering physics, medical sciences, and social sciences.In 2011 Shabir and Naz [2] introduced and studied the concept of soft topological spaces.In 2014 Senel and Çagman [3] investigated the notion of soft bitopological spaces over an initial universe set with a fixed set of parameters.In 2018 Mahmood and Abdul-Hady [4]  .Moreover we study the fundamental properties and equivalent definitions of these types of soft separation axioms.

Preliminaries:
Throughout this paper U is an initial universe set, ) (U P is the power set of U, P is the set of parameters and P C  .
(3) The soft intersection of two soft sets ) , ( is a soft bitopological space, and is a soft bitopological space, then the following hold: P U τ τ be a soft bitopological space and , but there exists no soft ) for any two distinct soft points x ~ and Proof: Conversely, to prove that ) , , , ( , then there exists  Proof: and proposition (2.2).

T -space).
Proof: It is obvious.Remark (2.12):The converse of proposition (2.11) is not true in general.In example (2.4) ) , , , ( T -space), but is not soft (1,2)*- T -space and let U y x , ~ such that τ -open and is not soft T -space (resp.soft P U τ τ be any soft bitopological space and T -space).
Every soft bitopological space is a soft (
It follows that from the proposition (2.22) and theorem (2.29).
The converse of proposition (2.35) is not true in general.We see that in the following example: