Soft regular generalized b-closed sets in soft topological spaces

Subject Areas : Set theory

S. M. Al-Salem ¹

1 - Department of Mathematics, College of Science, Basra, Iraq

Received: 2014-09-22 Accepted : 2015-12-20 Published : 2014-12-01

Keywords: Soft set, soft g-closed, soft rg-closed, soft b-closed,

Abstract :

The main purpose of this paper is to introduce and study new classes of softclosed sets like soft regular generalized b-closed sets in soft topological spaces (briefly softrgb-closed set) Moreover, soft rgb-closed, soft gpr-closed, soft gb-closed, soft gsp-closed, softg$\alpha$-closed, soft g$\alpha$b-closed, and soft sgb-closed sets in soft topological spaces are introduced in this paper and we investigate the relations between soft rgb-closed set and the associated softsets. Also, the concept of soft semi-regularization of soft topology is introduced and studiedtheir some properties. We introduce these concepts which are defined over an initial universewith a fixed set of parameters.

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