On soft weak structures

New Soft Structure: Infra Soft Topological Spaces

“…is path, therefore, attracted a lot of researchers who studied essential notions related to supra soft topologies, see, for example, [28,29]. omas and John [30] formulated the concept of soft generalized topological spaces which are defined as a family of soft sets that satisfy an arbitrary union condition of a soft topology, and Zakari et al [31] originated the concepts of soft weak structures which are defined as a family of soft sets that contain the null soft set Φ. Ittanagi [32] studied the concept of soft bitopological space which can be regarded as a soft topological space when the two soft topologies are identical. Lately, Al-shami et al [33] have constructed soft topology on ordered setting as an extension of soft topology.…”

On Soft Generalized Closed Sets in a Soft Topological Space with a Soft Weak Structure

“…Let (F, E) be a soft set over X and x ∈ X, then Let X be a non-empty set and E be a set of parameters. A collection ω of soft sets defined over X with respect to E is called a soft weak structure [20] …”

On Two Classes of Soft Sets in Soft Topological Spaces

“…The notion of soft topological spaces is introduced in [6]. Then researchers modified several concepts of classical topological spaces to include soft topological spaces, some recently published soft topological papers are appeared in [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26]. For the purpose of improving some known topological theorems, Hdeib [27] introduced the notion of ω-closed sets as a weaker notion of closed sets as follows: Let (X, ) be a topological space and A a subset of X.…”