This research paper explores the convergence properties of sequences through the lens of summability and associated fuzzy approximation theorems, coupled with statistical fuzzy rates. The study delves into the intersection of fuzzy mathematics and statistical analysis, aiming to provide a comprehensive understanding of the convergence behavior of sequences in a fuzzy framework. The investigation employs a rigorous research methodology to derive meaningful results, shedding light on the intricate relationships between summability, fuzzy approximation, and statistical rates.

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Keywords: Summability, Fuzzy Approximation, Statistical Fuzzy Rates, Convergence, Sequences, Fuzzy Mathematics, Research Methodology.