A Complete Characterization Theorem for Fuzzy Differentiability on Time Scales

Funda Raziye Mert; Selami Bayeğ

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arXiv · 2507.02893

A Complete Characterization Theorem for Fuzzy Differentiability on Time Scales

Funda Raziye Mert·Selami Bayeğ

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Abstract

This paper investigates the generalized Hukuhara differentiability of fuzzy number-valued functions on arbitrary time scales using delta calculus. By carefully examining and improving existing results, we develop a unified and complete characterization theorem that covers a wide range of differentiability behaviors, including some cases that were previously missed. Our approach addresses important limitations and redundancies in earlier work, providing a clearer and more flexible understanding of fuzzy differentiability.

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Funda Raziye Mert, Selami Bayeğ. 2025-06-20. A Complete Characterization Theorem for Fuzzy Differentiability on Time Scales. https://arxiv.org/abs/2507.02893

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