Results 1 to 10 of about 18,578,808 (277)

Between the Classes of Soft Open Sets and Soft Omega Open Sets [PDF]

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   +5 more sources

Soft Rω-Open Sets and the Soft Topology of Soft δ_ω-Open Sets

Axioms, 2022
The author devotes this paper to defining a new class of soft open sets, namely soft Rω-open sets, and investigating their main features. With the help of examples, we show that the class of soft Rω-open sets lies strictly between the classes of soft ...
Samer Al Ghour
doaj   +5 more sources

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   +3 more sources

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   +2 more sources

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   +2 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   +2 more sources

Neutrosophic Soft Generalized b-Closed Sets in Neutrosophic Soft Topological Spaces [PDF]

Neutrosophic Sets and Systems, 2023
The notion of neutrosophic soft generalized sets is introduced as a general mathematical tool that incorporates useful properties of both neutrosophic generalized sets and soft sets.
Alkan Özkan, Şeyda Yazgan, Sandeep Kaur   +2 more
doaj   +1 more source

Congruence Representations via Soft Ideals in Soft Topological Spaces

Axioms, 2023
This article starts with a study of the congruence of soft sets modulo soft ideals. Different types of soft ideals in soft topological spaces are used to introduce new weak classes of soft open sets.
Zanyar A. Ameen, Mesfer H. Alqahtani
doaj   +1 more source

Some Results on Soft Topological Notions

Journal of New Results in Science, 2021
Recently, the generalizations of soft open sets have become a popular subject. These generalizations define based on the concepts of the soft interior and soft closure.
Tuğçe Aydın, Serdar Enginoğlu
doaj  

TOPOLOGIES INDUCED BY COVERING SOFT APPROXIMATION SPACE [PDF]

Assiut University Journal of Multidisciplinary Scientific Research, 2017
The concept of covering is considered as a one of fundamental concepts intopological spaces for its contribution in the study of many of topologicalproblems.
doaj   +1 more source