Many scientists have studied and improved the soft set theory, which is initiated by Molodtsov  and easily applied to many problems having uncertainties from social life. The main purpose of our paper, is to introduce new soft separation axioms based on the b-open soft sets which are more general than of the open soft sets. We show that, the properties of soft b-Ti-spaces (i = 1,2) are soft topological properties under the bijection and irresolute open soft mapping. Also, the property of being soft b-regular and soft b-normal are soft topological properties under bijection, irresolute soft and irresolute open soft functions. Further, we show that the properties of being soft b-Ti-spaces (i = 1,2,3,4) are hereditary properties.
A. El-Sheikh, S.; A. Hosny, Rodyna; and M. Abd El-latif, A.
"Characterizations of b-Soft Separation Axioms in Soft Topological Spaces,"
Information Sciences Letters: Vol. 4
, Article 5.
Available at: https://digitalcommons.aaru.edu.jo/isl/vol4/iss3/5