TITLE:
Soft ii-Open Sets in Soft Topological Spaces
AUTHORS:
Sabih W. Askandar, Amir A. Mohammed
KEYWORDS:
Soft ii-Open Sets, Soft i-Open Sets, Soft Inter-Open Sets
JOURNAL NAME:
Open Access Library Journal,
Vol.7 No.5,
May
19,
2020
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.