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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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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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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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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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Theoretical foundations of soft topological granular structures for multi-criteria social network analysisTheoretical foundations of soft topological granular structures for multi-criteria social network analysis [PDF]
Royal Society Open ScienceGranular computing (GrC) models complex systems through hierarchically organized information granules, whereas soft set theory offers a flexible mathematical framework for parameter-dependent uncertainty.
Amlanjyoti Oza
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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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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 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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Caliber and Chain Conditions in Soft Topologies
Mathematics, 2021 In this paper, we contribute to the growing literature on soft topology. Its theoretical underpinning merges point-set or classical topology with the characteristics of soft sets (a model for the representation of uncertain knowledge initiated in 1999 ...
José Carlos R. Alcantud +2 more
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