On Some New Types of Fuzzy Soft Compact Spaces

Saleh, S.; Al-shami, Tareq M.; Mhemdi, Abdelwaheb

doi:10.1155/2023/5065592

Cited by 6 publications

(3 citation statements)

References 23 publications

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“…Other authors that have treated compactness in fuzzy topological spaces are Lowen in [15] and [16], Wong [31], T.E. Gantner et al [5], and more recently Saleh S. et al in [26]. The concept of α-compactness was introduced by T.E.…”

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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“…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]. Some of these principles have been examined in the frame of supra fuzzy soft topology such as [40,41].…”

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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“…Al-shami and El-Shafei [26,27] also analyzed two novel categories of ordered soft separation axioms and partial belonging relations in the context of soft separation axioms. Novel forms of compactness in topological spaces with fuzzy soft properties have also been considered [28]. Many applications related to soft separations and new axioms were also extensively explored [29,30].…”

Section: Introductionmentioning

confidence: 99%

Soft Topological Folding on the Product of Soft Manifolds and Its Soft Fundamental Group

Saleem

2023

IJFIS

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In this study, we analyze the practical applications of soft retraction and soft folding theory on the product of soft manifolds and highlight the role of the soft fundamental group. We propose some novel ideas on the theory of soft manifolds, specifically soft topological folding and soft retraction. We also consider soft topological folding on a finite product of soft manifolds to obtain a new functor on the soft fundamental group. Furthermore, we introduce soft topological folding on the wedge sum of soft manifolds and their induced topological folding on a free product of the soft fundamental group. Based on this framework, we obtain the relationship between a sequence of soft retraction and a sequence of soft topological folding on an n-dimensional soft manifold. Our proposed approach provides some notable insights into the relation between soft folding techniques and topological analysis, as well as the computation of the soft fundamental group.

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On Some New Types of Fuzzy Soft Compact Spaces

Abstract: In this article, we apply the concept of fuzzy soft δ -open sets to define new types of compactness in fuzzy soft topological spaces, namely, δ -compactness and δ ∗ … Show more

Cited by 6 publications

References 23 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

Soft Topological Folding on the Product of Soft Manifolds and Its Soft Fundamental Group

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