Abstract
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.
Highlights
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 2014 Senel and Çagman [3] investigated the notion of soft bitopological spaces over an initial universe set with a fixed set of parameters
The main purpose of this paper is to introduce and study new types of soft separation axioms in soft bitopological spaces called soft (1,2)*-omega separation axioms and weak soft (1,2)*-omega separation axioms by using the notion of soft (1,2)*-omega open sets such as soft (1,2)*-ω- T~i -spaces, soft (1,2)*-α-ω- T~i spaces, soft (1,2)*-pre-ω- T~i -spaces, soft (1,2)*-b-ω- T~i -spaces, and soft (1,2)*-β-ω- T~i -spaces
Summary
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. Definition (1.10)[3]: A soft subset (H, P) of a soft bitopological space (U, ~τ1, ~τ2 , P) is called soft ~τ1~τ2 -open if (H, P) (H1, P) ~ (H 2 , P) such that (H1, P) ~ ~τ1 and (H2 , P) ~ ~τ2 .
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