On some lower soft separation axioms

Saleh, S.; Hur, Kul

doi:10.30948/afmi.2020.19.1.61

Cited by 3 publications

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“…Separation axioms were introduced to fuzzy topological spaces in [9], [10], [11], [24], [32], and in some more recent works [25], [28]. They were extensions of separation axioms introduced in general Topology.…”

Section: Introductionmentioning

confidence: 99%

Fuzzy SSPO-separation Axioms and Fuzzy α-SSPO Compactness

Makolli,

Krsteska

2024

Eur. J. Pure Appl. Math.

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In this paper we will introduce the concept of new separation axioms named fuzzy SSPO-separation axioms by using the fuzzy strong semi preopen sets and we will also introduce and investigate properties of (alpha)-SSPO compactness. We will define and investigate relation between fuzzy separation axioms, fuzzy pre-separation axioms and different forms of fuzzy continuous mappings. We will also investigate the existence of a countable base of fuzzy strong semi preopen sets, we will define the concept of SSPO separability, the concept of (alpha)-SSPO Lindelof sets and examine their properties. With the concept of fuzzy strong semi pre-continuity, SSPO-irresolute continuous mappings and other forms of fuzzy continuity, we will investigate the new concept of fuzzy compactness and its properties in regards to the mentioned mappings.

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Section: Introductionmentioning

confidence: 99%

Fuzzy SSPO-separation Axioms and Fuzzy α-SSPO Compactness

Makolli,

Krsteska

2024

Eur. J. Pure Appl. Math.

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“…Then, the intellectuals interested in abstract structures endeavored to navigate topological concepts to the spaces of topologies. For instance, it was introduced the concepts of soft compactness and Lindel öfness [6], soft separation axioms [30,37,42,45], soft mappings [10,31], soft menger [32], almost soft menger [17] and nearly soft menger spaces [18] and soft metric [25]. Furthermore, the notions of generalized open sets have been explored in soft topologies by some authors like soft semi-open sets [23], soft somewhat open sets [7], soft Q-set [3], weakly soft α-open sets [19] and weakly soft semi-open sets [20].…”

Section: Introductionmentioning

confidence: 99%

Ri-separation axioms via supra soft topological spaces

Saleh,

Al-Shami,

Flaih

et al. 2023

J. Math. Computer Sci.

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The aim of this study is to introduce and investigate two new classes of separation axioms called supra soft R 0 and supra soft R 1 . They are defined in the spaces of supra soft topologies by using the notions of supra soft open sets and supra soft closure operator. We discuss the basic properties and characterizations of them. We also study the relationships between these classes and some other supra soft separation axioms with many results and explanative examples. Moreover, the connections between the properties of these classes and those in some generated soft topologies are presented. Finally, we show that these classes are preserved under subspaces, which means they are supra soft topological properties.

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“…Soft separability properties have been studied in many articles as in [6,15,[23][24][25][26]. Jyothis-Sunil [29] defined and studied some soft generalized separation axioms.…”

Section: Introductionmentioning

confidence: 99%

New results on soft generalized topological spaces

Al-Mufarrij¹,

Saleh²

2023

J. Math. Computer Sci.

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This work aims to introduce and discuss two new classes of separation properties namely, soft generalized R 0 and R 1 in a soft generalized topological space defined on an initial universe set, by using the notions of soft g-open sets and soft gclosure operator. We investigate some of their properties and characterizations. We further, investigate the relationships between different generalized structures of soft topology, providing some illustrative examples and results. Additionally, we present connections between these separation properties and those in some generated topologies. Furthermore, we show that being SGR i , i = 0, 1 are soft generalized topological properties.

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On some lower soft separation axioms

Cited by 3 publications

References 0 publications

Fuzzy SSPO-separation Axioms and Fuzzy α-SSPO Compactness

Fuzzy SSPO-separation Axioms and Fuzzy α-SSPO Compactness

Ri-separation axioms via supra soft topological spaces

New results on soft generalized topological spaces

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