A Complete Characterization Theorem for Fuzzy Differentiability on Time Scales
General Mathematics
2025-07-08 v1
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.
Cite
@article{arxiv.2507.02893,
title = {A Complete Characterization Theorem for Fuzzy Differentiability on Time Scales},
author = {Funda Raziye Mert and Selami Bayeğ},
journal= {arXiv preprint arXiv:2507.02893},
year = {2025}
}