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Soft ii-Open Sets in Soft Topological Spaces

DOI: 10.4236/oalib.1106308, PP. 1-18

Subject Areas: Topology

Keywords: Soft ii-Open Sets, Soft i-Open Sets, Soft Inter-Open Sets

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Abstract

In the current study, researchers have introduced modern concepts of soft open sets in the spaces of soft topologies named as soft i-open, soft inter-open and soft ii-open sets and they have explained the relations between these concepts and some other concepts such as the soft semi-open and soft α-open sets. They have also used a definition of soft open neighborhood of a point in X to introduce and discuss some applications of soft ii-open sets as soft ii-closure, soft ii-interior, soft ii-exterior, soft ii-border and soft ii-frontier of the soft set. Finally, they gave an example to explain and clarify all mentioned applications.

Cite this paper

Askandar, S. W. and Mohammed, A. A. (2020). Soft ii-Open Sets in Soft Topological Spaces. Open Access Library Journal, 7, e6308. doi: http://dx.doi.org/10.4236/oalib.1106308.

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