Supra Semi Open Soft Sets and Associated Soft Separation Axioms

Authors

A. M. Abd El-latif, Mathematics Department, Faculty Arts and Sciences, Northern Borders University, Rafha, KSA.\\ Mathematics Department, Faculty of Education, Ain Shams University, Roxy, 11341, Cairo, Egypt.Follow
Rodyna A. Hosny, Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt.Follow

Author Country (or Countries)

Egypt.

Abstract

In this paper, we introduce and investigate some weak soft separation axioms by using the notion of supra semi open soft sets. We study the relationships between these new soft separation axioms and their relationships with some other properties. As a consequence the relations of some supra soft separation axioms are shown in a diagram. We show that, some classical results in general supra topology are not true if we consider supra soft topological spaces instead. For instance, if (X,m,E) is supra soft semi T1-space need not every soft singleton xE is supra semi closed soft.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100623

Recommended Citation

M. Abd El-latif, A. and A. Hosny, Rodyna (2016) "Supra Semi Open Soft Sets and Associated Soft Separation Axioms," Applied Mathematics & Information Sciences: Vol. 10: Iss. 6, Article 23.
DOI: http://dx.doi.org/10.18576/amis/100623
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss6/23