On single-valued neutrosophic soft uniform spaces

Yaser Saber; Hanan Alohali; Tawfik Elmasry; Florentin Smarandache; Yaser Saber; Hanan Alohali; Tawfik Elmasry; Florentin Smarandache

doi:10.3934/math.2024023

AIMS Mathematics

2024, Volume 9, Issue 1: 412-439. doi: 10.3934/math.2024023

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On single-valued neutrosophic soft uniform spaces

1.
Department of Business Administration, College of Science and Human Studies, Hotat Sudair, Majmaah University, Majmaah, 11952, Saudi Arabia
2.
Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh, 11451, Saudi Arabia
3.
Department of Mathematics, University of New Mexico, Gallup, NM 87301, USA

Received: 14 September 2023 Revised: 04 November 2023 Accepted: 17 November 2023 Published: 29 November 2023
MSC : 54A10, 54A40

In this paper, we introduce the notion of single-valued neutrosophic soft uniform spaces as a view point of the entourage approach. We investigate the relationship among single-valued neutrosophic soft uniformities, single-valued neutrosophic soft topologies and single-valued neutrosophic soft interior operators. Also, we study several single-valued neutrosophic soft topologies induced by a single-valued neutrosophic soft uniform space.
- single-valued neutrosophic soft sets,
- single-valued neutrosophic soft uniformity,
- Stratification
Citation: Yaser Saber, Hanan Alohali, Tawfik Elmasry, Florentin Smarandache. On single-valued neutrosophic soft uniform spaces[J]. AIMS Mathematics, 2024, 9(1): 412-439. doi: 10.3934/math.2024023

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Abstract

In this paper, we introduce the notion of single-valued neutrosophic soft uniform spaces as a view point of the entourage approach. We investigate the relationship among single-valued neutrosophic soft uniformities, single-valued neutrosophic soft topologies and single-valued neutrosophic soft interior operators. Also, we study several single-valued neutrosophic soft topologies induced by a single-valued neutrosophic soft uniform space.

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