On Single-Valued Neutrosophic Soft Filter Convergence

The concept of single-valued neutrosophic soft filters plays a crucial role in the study of topological spaces. Extensive research has led to several generalizations of these filters, highlighting their significance in neutrosophic theory. This paper introduces a novel approach to single-valued neutrosophic soft filters, along with the idea of single-valued neutrosophic soft quasi-coincident neighborhood spaces, which are characterized by a unique interaction between the filters and quasi-coincident neighborhood structures. Additionally, we explore advanced neutrosophic theories, focusing on the properties and convergence of single-valued neutrosophic soft filters in soft topological spaces. Finally, we demonstrate the existence of product fuzzy soft filters.

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Publication Details

Journal
Contemporary Mathematics
Published
2024-12-25
DOI
https://doi.org/10.37256/cm.5420244904
Primary Topic
Fuzzy and Soft Set Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

On Single-Valued Neutrosophic Soft Filter Convergence

Fahad Alsharari
Contemporary Mathematics
Fuzzy and Soft Set Theory
article

On Single-Valued Neutrosophic Soft Filter Convergence

Fahad Alsharari
article en

Abstract

The concept of single-valued neutrosophic soft filters plays a crucial role in the study of topological spaces. Extensive research has led to several generalizations of these filters, highlighting their significance in neutrosophic theory. This paper introduces a novel approach to single-valued neutrosophic soft filters, along with the idea of single-valued neutrosophic soft quasi-coincident neighborhood spaces, which are characterized by a unique interaction between the filters and quasi-coincident neighborhood structures. Additionally, we explore advanced neutrosophic theories, focusing on the properties and convergence of single-valued neutrosophic soft filters in soft topological spaces. Finally, we demonstrate the existence of product fuzzy soft filters.

Contemporary Mathematics
Jouf University (SA)
Openalex Percentile: Top 70%
Fuzzy and Soft Set Theory
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