Esmi, EstevaoSilva, JeffersonAllahviranloo, TofighBarros, Laecio C.2024-05-192024-05-1920230020-02551872-6291https://doi.org10.1016/j.ins.2023.119249https://hdl.handle.net/20.500.12713/5152This article investigates some connections between the notions of the generalized Hukuhara derivative and the Psi- derivative of fuzzy number-valued functions. The concept of Psi- differentiability is defined on a fuzzy number-valued function.. in the form of phi(x) =rho(1)(x)A(1)+ ... +rho(n) (x)A(n) where rho(1), ... rho(n) are.. real-valued functions defined on an interval [a,b] and {A(1),..A(n)} is a strongly linearly independent subset of fuzzy numbers. The Psi- derivative of phi at some x is phi'(x) = rho'(1)(x)A(1)+ ... +rho'(n) (x) A(n) whenever the derivatives rho'(1)(x)(,) ... , rho'(n) (x) exist. This article provides conditions for these two notions of derivatives of such functions to coincide. Moreover, under some weak conditions, we show that an arbitrary continuously gH-differentiable function defined on an interval [a,b] and its gH-derivative can be uniformly approximated as closely as desired by a.- differentiable function and its.- derivative, respectively. Finally, we apply these results to obtain numerical and analytical solutions of a simple fuzzy decay model described by a fuzzy initial value problem under gH-derivative.eninfo:eu-repo/semantics/closedAccessFuzzy NumbersStrong Linear IndependenceFuzzy CalculusBanach SpaceApproximationGeneralized Hukuhara DerivativePsi-DerivativeArticle643WOS:0010218220000012-s2.0-85160848031N/A10.1016/j.ins.2023.119249Q1