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Research Article | Open Access

Rough statistical convergence for double sequences in L-fuzzy normed spaces

Aykut OR( )Ahmet Çakı
Department of Mathematics, Faculty of Science, Çanakkale Onsekiz Mart University, 17100, Çanakkale, Türkiye
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Abstract

In this paper, we introduce and study the concept of rough statistical convergence for double sequences in L-fuzzy normed spaces. We define the rough statistical limit points of a double sequence and prove that the set is closed and convex. In addition, we define rough statistical cluster points of a double sequence, and we prove that this set is closed. Afterward, we investigate the relationships among rough statistical convergence for double sequences, related notions such as rough statistical boundedness, and rough statistical Cauchy-type conditions.

CLC number: 03E72, 06D72, 40A05

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AIMS Mathematics
Pages 4283-4298

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Cite this article:
OR A, Çakı A. Rough statistical convergence for double sequences in L-fuzzy normed spaces. AIMS Mathematics, 2026, 11(2): 4283-4298. https://doi.org/10.3934/math.2026172

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Received: 03 October 2025
Revised: 17 January 2026
Accepted: 28 January 2026
Published: 12 February 2026
©2026 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)