Soft regular generalized closed sets in soft topological spaces

Abstract

Many researchers defined some basic notions on soft topology and studied many properties. In this paper, we define soft regular generalized closed and open sets in soft topological spaces and studied their some properties. We introduce these concepts which are defined over an initial universe with a fixed set of parameters. We investigate behavior relative to union, intersection and soft subspaces of soft regular generalized closed sets. We show that every soft generalized closed set is soft regular generalized closed. Also, we investigate many basic properties of these concepts.

Soft A-sets and Soft B-sets in Soft Topological Spaces

“…Then τ defines a soft topology on X and thus (X, τ, E) is a soft topological space over X [12]. Let (G, E) be a soft set over X such that E) are soft sets over X, defined as follows:…”

On Weakly Soft Omega Open Functions and Weakly Soft Omega Closed Functions in Soft Topological Spaces

“…58, No.2C, pp: 1094-1106 and Ozkan [3], Arockiarani and Arokia Lancy [4], Yuksel and et al [5], and Georgiou and Megaritis [6] defined and study soft α-open sets, soft pre-open sets, soft regular open sets, soft Ө-interior points and soft Ө-cluster points in soft topological spaces respectively. Also, soft open functions and soft closed functions were first introduced by Nazmul and Samanta [7].…”

Results on soft extremally disconnectedness of soft topological spaces

“…Then for every soft open set (U, A) and every soft subset (F, A) of X, we havescl(F, A)∩ (U, A)⊆scl((F, A)∩ (U, A)). [19] (resp. soft α-closed [1], soft semiclosed [4], soft preclosed [10], soft b-closed [2] and soft β-closed [3]).…”