Soft supra strongly generalized closed sets

El-latif, A. M. Abd

doi:10.3233/ifs-162197

Cited by 8 publications

(4 citation statements)

References 14 publications

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“…This section aims to define the concepts of supra soft δ-generalized closed sets (briefly, g s δ -closed sets) in SSTSs by using the supra soft δ-closure operator. We show that, this notion is wider than the notion of supra soft generalized closed sets [50], supra soft strongly generalized closed sets [34] and supra soft regular generalized closed sets [35]. Moreover, we fond out that this notion does not success to form an STS or SSTS, since the soft intersection (respectively, soft union) of any two g s δ -closed sets need not to be an g s δ -closed, in general.…”

Section: Weaker Class Of Supra Soft Closed Sets Via Supra Soft δ-Clos...mentioning

confidence: 88%

“…Our purpose of this project, is to generalize many kinds of supra soft generalizes closed sets in SSTSs by using the of supra soft δ-closure operator. We showed that the new class contains strictly the class of supra soft generalized closed sets [50], supra soft strongly generalized closed sets [34] and supra soft regular generalized closed sets [35]. Also, the notions of g s δ -open sets were defined and several of its interested properties were studied.…”

Section: Conclusion and Upcoming Workmentioning

confidence: 99%

“…Later, several generalizations and topological properties were provided; To name a few: Supra soft regular generalized closed sets [34,35], soft connected spaces and soft paracompact spaces [36], supra soft separated sets and supra soft connectedness based on supra soft b-open sets [37,38], supra soft compactness [39,40]. Several types of weaker forms of supra soft separation axioms [41,42] based on supra semi open soft sets [43], supra β-open soft sets [44] ave been introduced and studied.…”

Section: Introductionmentioning

confidence: 99%

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Strictly Wider Class of Soft Sets via Supra Soft δ-Closure Operator

Abd El-latif,

Alqahtani,

Gharib

2024

Int. J. Anal. Appl.

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In this work, we use the supra soft δ-closure operator to present a new notion of generalized closed sets in supra soft topological spaces (or SSTSs), named supra soft δ-generalized closed sets. We show that, this notion is more general than many of previous notions, which presented before in famous papers. We illustrate many of its essential properties in detail. Specifically, we illustrate that the new collection neither forms soft topology nor supra soft topology. Moreover, we study the behavior of the soft image and soft pre-images of supra soft δ-generalized closed sets under new types of soft mappings, named supra soft irresolute and supra soft δ-irresolute closed. In addition, we define the concept of supra soft δ-generalized open sets, as a complement of supra soft δ-generalized closed sets. Finally, the relationships with other forms of generalized open sets in SSTSs are explored, supported by concrete examples and counterexamples. Therefore, I think the development of the notions presented in this paper are sufficiently general relevance to allow for future extensions.

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Section: Weaker Class Of Supra Soft Closed Sets Via Supra Soft δ-Clos...mentioning

confidence: 88%

Section: Conclusion and Upcoming Workmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Strictly Wider Class of Soft Sets via Supra Soft δ-Closure Operator

Abd El-latif,

Alqahtani,

Gharib

2024

Int. J. Anal. Appl.

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show abstract

“…The notion of supra soft topological spaces was initiated for the first time [25]. Recently, in study they introduced the concept of soft supra g-closed soft sets in supra soft topological spaces, which is generalized in [23,26].…”

Section: Introductionmentioning

confidence: 99%