Year: 2024
Type: article
Abstract: Statistical convergence, defined in terms of the natural density of positive integers, has been studied in many different spaces, such as intuitionistic fuzzy metric spaces, partial metric spaces, and $L$-fuzzy normed spaces. The main goal of this study is to define statistical convergence in $L$-fuzzy metric spaces ($L$-FMSs), one of the essential tools for modeling uncertainty in everyday life. Furthermore, this paper introduces the concept of statistical Cauchy sequences and investigates its relation with statistical convergence. Then, it defines statistically complete $L$-FMSs and analyzes some of their basic properties. Finally, the paper inquires the need for further research.
Source: Journal of New Theory
DOI: 10.53570/jnt.1586147
Authors: Ahmet Çakı, Aykut Or
Institution: Çanakkale Onsekiz Mart Üniversitesi
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4405964258