Some properties of soft topological spaces

Authors:
Sabir Hussain;Bashir Ahmad
Affiliations:
Department of Mathematics, Yanbu University, P.O. Box 31387, Yanbu Alsinaiyah, Saudi Arabia and Department of Mathematics, Islamia University Bahawalpur, Pakistan;Department of Mathematics, King Abdul Aziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
Venue:
Computers & Mathematics with Applications
Year:
2011

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Abstract

For dealing with uncertainty researchers introduced the concept of soft sets. Shabir and Naz (2011) [28], defined several basic notions on soft topology and studied many properties. In this paper, we continue investigating the properties of soft open (closed), soft nbd and soft closure. We also define and discuss the properties of soft interior, soft exterior and soft boundary which are fundamental for further research on soft topology and will strengthen the foundations of the theory of soft topological spaces.