2022-07-012022-07-012022-04-20Osuna Gómez, R., Costa, T.M., Chaico Cano, Y. y Hernández Jiménez, B. (2022). Quasilinear approximation for interval-valued functions via generalized Hukuhara differentiability. Computational and Applied Mathematics, 41 (4), 149-1-149-16.0101-82051807-0302https://hdl.handle.net/11441/134894In this paper, a new generalized Hukuhara differentiability concept for interval-valued functions defined on Rn is proposed, which extends the classical Fréchet differentiability notion and provides an interval quasilinear approximation for an interval-valued function in a neighborhood of a point at which such function is gH-differentiable. Moreover, it overcomes the shortcomings generated by the use of the gH-differentiability concept previously presented in the literature, and this presents a good perspective on interval and fuzzy environments. Several properties of this new concept are investigated and compared with the previous concept properties. Furthermore, the gH-differentiability concept is extended for a fuzzy function, and its introduction is argued and illustrated with examples.application/pdf16 p.engAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Interval-valued functionsQuasilinear functionsGeneralized Hukuhara differentiabilityinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.1007/s40314-021-01746-6