Title of article :
Weak Soft Separation Axioms and Weak Soft (1,2)*-D ~ -Separation Axioms in Soft Bitopological Spaces
Author/Authors :
mahmood, sabiha i. al-mustansiriyah university - college of science - department of mathematics, Baghdad, Iraq
Abstract :
In this article we introduce and study new types of soft sets in soft bitopological spaces, namely, soft (1,2)*-difference sets and soft (1,2)*-b-difference sets by using the notion of soft t~1t~2 -open sets and soft (1,2)*-b-open sets respectively. Furthermore we use these soft sets to define and study new types of soft separation axioms, namely, soft (1,2)*- D ~i -spaces and soft (1,2)*-b- i D ~ -spaces for i = 0,1,2 which are weaker than soft (1,2)*- T ~i -spaces and soft (1,2)*-b-T ~ i - spaces for i = 0,1,2 respectively. The basic properties and characteristics each of soft (1,2)*-b- T ~ i -spaces, soft (1,2)*- D ~i -spaces and soft (1,2)*-b-D ~ i -spaces for i = 0,1,2 also have been studied.
Keywords :
soft (1 , 2)* , difference sets , soft (1 , 2)* , b , difference sets , soft (1 , 2)* , D ~ i , spaces , soft (1 , 2)* , b , D ~i , spaces , soft (1 , 2)* , T ~ i , spaces and soft (1 , 2)* , b , T ~i , spaces , i = 0 , 1 , 2.
Journal title :
Al-Nahrain Journal Of Science
Journal title :
Al-Nahrain Journal Of Science