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Research Article | Open Access

Soft topological approaches via soft γ-open sets

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

The purpose of this research is to present, study, and prove numerous features of soft γ-open ( S γo) and soft γ-closed ( S γc) sets in soft topological structure ( S τs). Also, we show that the collection of S γo sets is a soft supra topology ( 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.

Keywords

soft topologysoft γ-open setssoft γ-continuous
CLC number: 54C99, 54D10, 54D15, 54D30, 54F05

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AIMS Mathematics
Volume 7 Issue 7,
July 2022
Pages 12144-12153
DOI: 10.3934/math.2022675

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Cite this article:
Alzahrani S, Nasef AA, Youns N, et al. Soft topological approaches via soft γ-open sets. AIMS Mathematics, 2022, 7(7): 12144-12153. https://doi.org/10.3934/math.2022675

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Received: 21 February 2022
Revised: 05 April 2022
Accepted: 10 April 2022
Published: 15 July 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)