Results 1 to 10 of about 22,085 (238)
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
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Innovative Strategy for Constructing Soft Topology
Axioms, 2023 To address the complexity of daily problems, soft set theory has emerged as a valuable tool, providing innovative mathematical techniques to manage vast amounts of data and ambiguity.
Amlak I. Alajlan, Ahmad M. Alghamdi
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Soft Topology Generated by L-Soft Sets
Journal of New Theory, 2018 In this paper, the theory of soft topological space generated by L-soft sets is introduced. As a continuation of the study of operations on L-soft sets, the aim of this paper is to introduce new soft topologies using restricted and extended ...
Guzide Senel
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Soft Slight Omega-Continuity and Soft Ultra-Separation Axioms
Mathematics, 2023 The notions of continuity and separation axioms have significance in topological spaces. As a result, there has been a substantial amount of research on continuity and separation axioms, leading to the creation of several modifications of these axioms ...
Samer Al Ghour, Hanan Al-Saadi
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Generalization of soft topological groups [PDF]
Journal of the Egyptian Mathematical Society, 2020 AbstractThere exists two different definitions for soft topological groups, the first due to Hida and the other due to Tariq Shah. In this paper, we give a generalization for both of them, and also, we study the topological properties for the construction of finer soft topology made by Nazmul and use the same technique to construct a soft topological ...
Tantawy, O., Kandil, S. A., ElShamy, A.
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Generating Soft Topologies via Soft Set Operators
Symmetry, 2022 As daily problems involve a great deal of data and ambiguity, it has become vital to build new mathematical ways to cope with them, and soft set theory is the greatest tool for doing so. As a result, we study methods of generating soft topologies through several soft set operators. A soft topology is known to be determined by the system of special soft
Abdel Fatah Azzam +3 more
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Soft ωp-Open Sets and Soft ωp-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
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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
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Materials & Design, 2022 Mechanical metamaterials are periodic lattice structures with complex unit cell architectures that can achieve extraordinary mechanical properties beyond the capability of bulk materials.
Marius A. Wagner +5 more
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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
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