Abstract
In this paper, we establish the concept \(q\) -rung orthopair fuzzy normed space and explore its connections with intuitionistic fuzzy normed spaces. We introduced a novel type of statistical convergence and define the concept of statistical Cauchy sequences in \(q\) -rung orthopair fuzzy normed spaces. Investigating the relationship between these concepts, we provide insights into their interplay. Furthermore, we contribute a criterion for statistical convergence and completeness in \(q\) -rung orthopair fuzzy normed spaces. This criterion enhances our understanding of the convergence behavior in this unique mathematical setting, offering a comprehensive exploration of the analytical properties within the framework.
