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

OR A., Çakı A.

AIMS Mathematics, vol.11, no.2, pp.4283-4298, 2026 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 11 Issue: 2
  • Publication Date: 2026
  • Doi Number: 10.3934/math.2026172
  • Journal Name: AIMS Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Directory of Open Access Journals
  • Page Numbers: pp.4283-4298
  • Keywords: L-fuzzy normed space, rough convergence, rough statistical limit set, statistical convergence
  • Çanakkale Onsekiz Mart University Affiliated: Yes

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.