On stratified single-valued soft topogenous structures

Fahad Alsharari; Yaser Saber; Hanan Alohali; Mesfer H Alqahtani; Mubarak Ebodey; Tawfik Elmasry; Jafar Alsharif; Amal F Soliman; Florentin Smarandache; Fahad Sikander

doi:10.1016/j.heliyon.2024.e27926

On stratified single-valued soft topogenous structures

Heliyon. 2024 Mar 16;10(6):e27926. doi: 10.1016/j.heliyon.2024.e27926. eCollection 2024 Mar 30.

Authors

Fahad Alsharari¹, Yaser Saber^{2

3}, Hanan Alohali⁴, Mesfer H Alqahtani⁵, Mubarak Ebodey⁶, Tawfik Elmasry⁶, Jafar Alsharif⁶, Amal F Soliman^{7

8}, Florentin Smarandache⁹, Fahad Sikander¹⁰

Affiliations

¹ Department of Mathematics, College of Science, Jouf University, Sakaka 72311, Saudi Arabia.
² Department of Mathematics, College of Science Al-Zulfi, Majmaah University, P. O. Box 66, Al-Majmaah 11952, Saudi Arabia.
³ Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut, 71524, Egypt.
⁴ Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia.
⁵ Department of Mathematics, University College of Umluj, University of Tabuk, Tabuk 48322, Saudi Arabia.
⁶ Department of Business Administration, Faculty of Science and Humanities at Hotat Sudair, Majmaah University, 11952, Riyadh, Saudi Arabia.
⁷ Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, Alkharj, Saudi Arabia.
⁸ Department of Basic Science, Benha Faculty of Engineering, Benha University, Banha, Egypt.
⁹ Department of Mathematics, University of New Mexico, Gallup, NM 87301, USA.
¹⁰ Department of Basics Sciences, College of Science and Theoretical studies, Saudi Electronic University, Jeddah 23442, Saudi Arabia.

Abstract

This paper presents novel concepts including stratified single-valued neutrosophic soft topogenous (stratified svns-topogenous), stratified single-valued neutrosophic soft filter (stratified svns-filter), stratified single-valued neutrosophic soft quasi uniformity (stratified svnsq-uniformity) and stratified single-valued neutrosophic soft quasi proximity (stratified svnsq-proximity). Additionally, we present the idea of single-valued neutrosophic soft topogenous structures, formed by integrating svns-topogenous with svns-filter, and discuss their properties. Furthermore, we explore the connections between these single-valued neutrosophic soft topological structures and their corresponding stratifications.

Keywords: Single-valued neutrosophic soft quasi-proximity; Single-valued neutrosophic soft quasi-uniformity; Single-valued neutrosophic soft topogenous order; Stratified.

Publication types

Review