On the Generalized Hukuhara Nabla Differentiability of Fuzzy Functions on Time Scales via Characterization Theorem

Abstract

In this paper, we provide a comprehensive investigation of the generalized Hukuhara nabla derivative for fuzzy functions on time scales. We establish some characterizations of generalized Hukuhara nabla differentiable fuzzy functions on time scales via the nabla differentiability of their endpoint functions. These characterizations complete and extend previous findings of fuzzy number valued functions from the real domain to those on time scales. Additionally, we generalize the product rule, previously proven for interval valued functions in the real case, to fuzzy number valued functions on time scales.