TanushriAhmad, AyazEsi, Ayhan2026-06-192026-06-1920242075-1680https://doi.org/10.3390/axioms13090639https://hdl.handle.net/20.500.12899/5258In this study, we investigate the concept of I*-statistical convergence for sequences of fuzzy numbers. We establish several theorems that provide a comprehensive understanding of this notion, including the uniqueness of limits, the relationship between I*-statistical convergence and classical convergence, and the algebraic properties of I*-statistically convergent sequences. We also introduce the concept of I*-statistical pre-Cauchy and I*-statistical Cauchy sequences and explore its connection to I*-statistical convergence. Our results show that every I*-statistically convergent sequence is I*-statistically pre-Cauchy, but the converse is not necessarily true. Furthermore, we provide a sufficient condition for an I*-statistically pre-Cauchy sequence to be I*-statistically convergent, which involves the concept of I*-lim in f.eninfo:eu-repo/semantics/openAccessI*-Statistical ConvergenceI*-Statistical Cauchy SequencesI*-Statistical Pre-CauchyI* - Lim InfArticle10.3390/axioms13090639139WOS:001326346700001Q20000-0002-3388-20090009-0007-1700-63010000-0003-3137-3865