Soft Topological Notions Via Molodtsov Model

Authors

1 Department of Physics and Engineering Mathematics, Faculty of Engineering , Kafrelsheikh University, Kafrelsheikh (33516), Egypt.

2 Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt.

Abstract

In the present paper, we introduce a new concept of soft sets called soft $g(\beta,\omega)$-closed sets. Also, we study the basic properties of this new concept and we investigate the relation between soft $g(\beta,\omega)$-closed sets and some of the other soft sets. Finally, we introduce the concept of soft $g(\beta,\omega)$- continuous map and we study the relationship between the new concept and some of the other types of soft continuity.