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Mathematics, 2023 In a soft environment, we investigated several (classical) structures such as ideals, filters, grills, etc. It is well known that these structures are applied to expand abstract concepts; in addition, some of them offer a vital tool to address some ...
Tareq M. Al-shami +3 more
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Lower density soft operators and density soft topologies
HeliyonThe 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 +2 more
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A different look at the soft topological polygroups [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 Soft topological polygroups are defined in two different ways. First, it is defined as a usual topology. In the usual topology, there are five equivalent definitions for continuity, but not all of them are necessarily established in soft ...
R. Mousarezaei, B. Davvaz
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Some notes on soft neighborhood [PDF]
Journal of Hyperstructures, 2023 In this paper, the concept of soft neighborhood of an element in a soft topological space is introduced, and its basic prop-erties are studied.
Mustafa Burc Kandemir, Gul Dursun
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Soft Complete Continuity and Soft Strong Continuity in Soft Topological Spaces
Axioms, 2023 In this paper, we introduce soft complete continuity as a strong form of soft continuity and we introduce soft strong continuity as a strong form of soft complete continuity. Several characterizations, compositions, and restriction theorems are obtained.
Samer Al Ghour
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Infra Soft Compact Spaces and Application to Fixed Point Theorem
Journal of Function Spaces, 2021 Infra soft topology is one of the recent generalizations of soft topology which is closed under finite intersection. Herein, we contribute to this structure by presenting two kinds of soft covering properties, namely, infra soft compact and infra soft ...
Tareq M. Al-shami
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Maximal Soft Compact and Maximal Soft Connected Topologies
Applied Computational Intelligence and Soft Computing, 2022 In various articles, it is said that the class of all soft topologies on a common universe forms a complete lattice, but in this paper, we prove that it is a complete lattice.
Samer Al Ghour, Zanyar A. Ameen
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Soft topological soft groups [PDF]
Mathematical Sciences, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nazmul, Sk, Samanta, Syamal Kumar
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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
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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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