Results 1 to 10 of about 110,627 (213)
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, Al Ghour Samer
exaly +3 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, Al Ghour Samer
exaly +3 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
exaly +3 more sources
On Weak and Strong Forms of Fuzzy Soft Open Sets
Fuzzy Information and Engineering, 2016 We introduce and examined some basic properties of fuzzy soft α-open (closed) sets in fuzzy soft topological spaces. Fuzzy soft pre-open (closed) sets are also defined and discussed.
Sabir Hussain
exaly +3 more sources
On soft parametric somewhat-open sets and applications via soft topologies
Heliyon, 2023 In this work, we adopt a new approach to study a new class of soft sets depending on the generalizations of open subsets in the parametric topological spaces. We first define the class of soft parametric somewhat-open sets and explore its basic features.
T M Al-Shami, Abdelwaheb Mhemdi
exaly +3 more sources
Characterization of Soft S-Open Sets in Bi-Soft Topological Structure Concerning Crisp Points
Mathematics, 2020 In this article, a soft s-open set in soft bitopological structures is introduced. With the help of this newly defined soft s-open set, soft separation axioms are regenerated in soft bitopological structures with respect to crisp points.
Mohammed Al-Shomrani +2 more
exaly +3 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 +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
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
Soft Rω-Open Sets and the Soft Topology of Soft δω-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 +1 more source