Soft Topological Notions Via Molodtsov Model

Authors

A.A. Nasef, Department of Physics and Engineering Mathematics, Faculty of Engineering , Kafrelsheikh University, Kafrelsheikh (33516), Egypt.
A.I. Aggour, Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt.
A. Fathy, Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt.Follow
S.M. Darwesh, Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt.

Document Type

Original Article

Subject Areas

Mathematics and Statistics

Keywords

Soft Set, Soft $g(\beta, \omega)$- Continuous map, Soft $g(\beta, \omega)$ Closed Set.

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.

How to Cite This Article

Nasef, A.A.; Aggour, A.I.; Fathy, A.; and Darwesh, S.M. (2023) "Soft Topological Notions Via Molodtsov Model," Al-Azhar Bulletin of Science: Vol. 34: Iss. 2, Article 8.
DOI: https://doi.org/10.58675/2636-3305.1648