%0 Journal Article
%A Osuna-Gómez, Rafaela
%A Mendoça da Costa, Tiago
%A Chalco-Cano, Yurilev
%A Hernández-Jiménez, Beatriz
%T Quasilinear approximation for interval-valued functions via generalized Hukuhara differentiability
%D 2022
%U https://hdl.handle.net/10433/19488
%X In 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.
%K Interval-valued functions
%K Quasilinear functions
%K Generalized Hukuhara differentiability
%~