Characterizations of b-Soft Separation Axioms in Soft Topological Spaces

Authors

S. A. El-Sheikh, Mathematics Department, Faculty of Education, Ain Shams University, Cairo, Egypt.Follow
Rodyna A. Hosny, Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt.Follow
A. M. Abd El-latif, Mathematics Department, Faculty of Education, Ain Shams University, Cairo, Egypt.Follow

Abstract

Many scientists have studied and improved the soft set theory, which is initiated by Molodtsov [33] 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.

Recommended Citation

A. El-Sheikh, S.; A. Hosny, Rodyna; and M. Abd El-latif, A. (2015) "Characterizations of b-Soft Separation Axioms in Soft Topological Spaces," Information Sciences Letters: Vol. 4 : Iss. 3 , PP -.
Available at: https://digitalcommons.aaru.edu.jo/isl/vol4/iss3/5