Soft topological approaches via soft γ-open sets

Samirah Alzahrani; A. A. Nasef; N. Youns; A. I. EL-Maghrabi; M. S. Badr; Samirah Alzahrani; A. A. Nasef; N. Youns; A. I. EL-Maghrabi; M. S. Badr

doi:10.3934/math.2022675

AIMS Mathematics

2022, Volume 7, Issue 7: 12144-12153. doi: 10.3934/math.2022675

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Research article

Soft topological approaches via soft γ-open sets

1.
Department of Mathematics and Statistics, college of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia
2.
Department of Physics and Engineering Mathematics, Faculty of Engineering, Kafrelsheikh University, Kafrelsheikh, Egypt
3.
Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelseikh, Egypt
4.
Department of Mathematics, Faculty of Science, New Valley University, El Kharga, Egypt

Received: 21 February 2022 Revised: 05 April 2022 Accepted: 10 April 2022 Published: 22 April 2022
MSC : 54C99, 54D10, 54D15, 54D30, 54F05

The purpose of this research is to present, study, and prove numerous features of soft γ-open ($\mathcal{S} $γo) and soft γ-closed ($\mathcal{S} $γc) sets in soft topological structure ($\mathcal{S} $τs). Also, we show that the collection of $\mathcal{S} $γo sets is a soft supra topology ($\mathcal{S} $sτ) by stating and proving the conditions. Finally, we study soft γ-continuous functions and soft γ-irresolute functions. Some related properties of these new soft of discussed with help of some examples.
- soft topology,
- soft γ-open sets,
- soft γ-continuous
Citation: Samirah Alzahrani, A. A. Nasef, N. Youns, A. I. EL-Maghrabi, M. S. Badr. Soft topological approaches via soft γ-open sets[J]. AIMS Mathematics, 2022, 7(7): 12144-12153. doi: 10.3934/math.2022675

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Abstract

The purpose of this research is to present, study, and prove numerous features of soft γ-open ($\mathcal{S} $γo) and soft γ-closed ($\mathcal{S} $γc) sets in soft topological structure ($\mathcal{S} $τs). Also, we show that the collection of $\mathcal{S} $γo sets is a soft supra topology ($\mathcal{S} $sτ) by stating and proving the conditions. Finally, we study soft γ-continuous functions and soft γ-irresolute functions. Some related properties of these new soft of discussed with help of some examples.

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