The paper introduces statistical convergence and sequence-covering maps in type-2 fuzzy metric spaces, implying new dimensions in fuzzy analysis.
In this paper, we introduce the concept of statistical convergence in type-2 fuzzy metric spaces. By reflecting on natural density, we define statistical convergent sequences in these spaces and provide illustrative examples to introduce this idea. Additionally, the paper presents the notions of statistical Cauchy sequences, statistical limit points, and statistical cluster points, supported by relevant examples. We discuss key properties of statistical limit points and statistical cluster points in detail. Finally, the concept of statistically sequence-covering maps is initiated and characteristics of both statistically sequence-covering maps and compact maps are examined in the context of type-2 fuzzy metric spaces.
No takes yet. Share an insight, caveat, or question.
Ghosh et al. (2026) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: