Results 1 to 10 of about 7,472 (263)

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   +4 more sources

On some generated soft topological spaces and soft homogeneity [PDF]

Heliyon, 2019
We introduce soft homogeneity as an extension of homogeneity in ordinary topological spaces. Based on the generated soft topology of a given indexed family of classical topologies inspite of a one topology given by Terepeta in [16], we investigate soft ...
Samer Al Ghour, Awatef Bin-Saadon
doaj   +6 more sources

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   +4 more sources

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   +3 more sources

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   +3 more sources

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   +3 more sources

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   +3 more sources

Soft Ideal Theory Soft Local Function and Generated Soft Topological Spaces [PDF]

Applied Mathematics & Information Sciences, 2014
: The purpose of this paper is to introduce the notion of soft ideal in soft set theory. The concept of soft local function is also introduced. These concepts are discussed with a view to find new soft topologies from the original one.
S. A. El-sheikh, O. A. E. Tantawy, A. M. Abd El-latif   +2 more
core   +4 more sources

On Two Classes of Soft Sets in Soft Topological Spaces

Symmetry, 2020
In this paper, we define soft ω -open sets and strongly soft ω -open sets as two new classes of soft sets. We study the natural properties of these types of soft sets and we study the validity of the exact versions of some known ...
Samer Al Ghour, Al Ghour Samer
exaly   +3 more sources

Generalized soft rough sets and generated soft ideal rough topological spaces

Journal of Intelligent & Fuzzy Systems, 2018
Soft set theory and rough set theory are mathematical tools for dealing with uncertainties and are closely related. The main purpose of soft rough set is reducing the soft boundary region by increasing the lower approximation and decreasing the upper approximation.
A.M. Abd El-Latif
core   +3 more sources