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Lower density soft operators and density soft topologies [PDF]

Heliyon
The classical density topology is derived from the Lebesgue density points of Lebesgue measurable sets. Wilczynski proposed a more general scheme for defining density points.
Zanyar A. Ameen, Mesfer H. Alqahtani, Ohud F. Alghamdi   +2 more
doaj   +2 more sources

On Soft Generalized ω-Closed Sets and Soft T_1/2 Spaces in Soft Topological Spaces

Axioms, 2022
In this paper, we define a soft generalized ω-closed set, which is a generalization of both the soft ω-closed set and the soft generalized closed set. We show that the classes of generalized closed sets and generalized ω-closed sets coincide in soft anti-
Samer Al Ghour
doaj   +1 more source

Weaker Forms of Soft Regular and Soft T₂ Soft Topological Spaces

Mathematics, 2021
Soft ω-local indiscreetness as a weaker form of both soft local countability and soft local indiscreetness is introduced. Then soft ω-regularity as a weaker form of both soft regularity and soft ω-local indiscreetness is defined and investigated ...
Samer Al Ghour
doaj   +1 more source

Soft ω-regular open sets and soft nearly Lindelöfness

Heliyon, 2022
In this paper, we define the notion of “soft ω-regular openness,” which lies exactly between “soft regular openness” and “soft ω-openness.” Through soft ω-regular open sets, we introduce the notions of soft semi ω-regularity as a weaker form of soft semi
Samer Al Ghour
doaj   +1 more source

Soft Semi ω-Open Sets

Mathematics, 2021
In this paper, we introduce the class of soft semi ω-open sets of a soft topological space (X,τ,A), using soft ω-open sets. We show that the class of soft semi ω-open sets contains both the soft topology τω and the class of soft semi-open sets ...
Samer Al Ghour
doaj   +1 more source

Some Results in Neutrosophic Soft Topology Concerning Neutrosophic Soft ∗b Open Sets

Journal of Function Spaces, 2021
In this article, new generalised neutrosophic soft open known as neutrosophic soft ∗b open set is introduced in neutrosophic soft topological spaces. Neutrosophic soft ∗bopen set is generated with the help of neutrosophic soft semiopen and neutrosophic ...
Arif Mehmood, Saleem Abdullah, Mohammed M. Al-Shomrani, Muhammad Imran Khan, Orawit Thinnukool   +4 more
doaj   +1 more source

Between the Classes of Soft Open Sets and Soft Omega Open Sets

Mathematics, 2022
In this paper, we define the class of soft ω0-open sets. We show that this class forms a soft topology that is strictly between the classes of soft open sets and soft ω-open sets, and we provide some sufficient conditions for the equality of the three ...
Samer Al Ghour
doaj   +1 more source

Some Modifications of Pairwise Soft Sets and Some of Their Related Concepts

Mathematics, 2021
In this paper, we first define soft u-open sets and soft s-open as two new classes of soft sets on soft bitopological spaces. We show that the class of soft p-open sets lies strictly between these classes, and we give several sufficient conditions for ...
Samer Al Ghour
doaj   +1 more source

Soft ω_p-Open Sets and Soft ω_p-Continuity in Soft Topological Spaces

Mathematics, 2021
We define soft ωp-openness as a strong form of soft pre-openness. We prove that the class of soft ωp-open sets is closed under soft union and do not form a soft topology, in general. We prove that soft ωp-open sets which are countable are soft open sets,
Samer Al Ghour
doaj   +1 more source

Between Soft θ-Openness and Soft ω⁰-Openness

Axioms, 2023
In this paper, we define and investigate soft ωθ-open sets as a novel type of soft set. We characterize them and demonstrate that they form a soft topology that lies strictly between the soft topologies of soft θ-open sets and soft ω0-open sets. Moreover,
Samer Al Ghour
doaj   +1 more source