Semi soft local function which generated a new topology in soft ideal spaces

Hussain, Ahmed Hadi; Abbas, Sameer Annon; Salman, Abbas Musleh; Hussein, Nabeel Ali

doi:10.1080/09720502.2019.1706848

Cited by 7 publications

(1 citation statement)

References 10 publications

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“…The definitions of soft ideal presented by Kandil et al [19], in 2014. Theses approves have been investigated by using the concepts of soft semi-open sets [20,21]. In 2018, applications in medical [22] via certain soft ideal rough topological spaces have been presented by Abd El-latif.…”

Section: Introductionmentioning

confidence: 99%

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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