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

AIMS Mathematics 2026 Open access

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Authors: Aykut OR, Ahmet Çakı
DOI: 10.3934/math.2026172
Cited by: 0
References: 30

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.

Fields of Study & Subjects

Approximation Theory and Sequence Spaces Fuzzy Systems and Optimization Fuzzy and Soft Set Theory

Publication details

Journal / source
AIMS Mathematics
Volume
11
Issue
2
Pages
4283–4298
Publication date
1 January 2026
Language
EN