Statistical Convergence and Statistically Sequence–Covering Maps in Type–2 Fuzzy Metric Spaces
Sneha Ghosh, Moumita Chiney, Upasana Samanta
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Source: Crossref
Published: Jun 2, 2026
DOI: 10.1142/s1793005727500785
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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.
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