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Pairwise soft separation axioms in soft bitopological spaces
A. Kandil,O. A. E. Tantawy,S. A. El-Sheikh,Shawqi A. Hazza 원광대학교 기초자연과학연구소 2017 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.13 No.5
The motivation of the current paper is to define and study some soft separation axioms in soft bitopological spaces in terms of pairwise softness namely, pairwise soft $T^{*}_{0}$, pairwise soft $T^{*}_{1}$, pairwise soft $T^{*}_{2}$, and pairwise soft $R^{*}_{1}$. Characterizations and properties of these soft separation axioms have been obtained. Moreover, we study the implications of these types of soft separation axioms in soft and crisp cases. Finally, we show that these properties are hereditary.