RT Journal Article
T1 Quasilinear approximation for interval-valued functions via generalized Hukuhara differentiability
A1 Osuna-Gómez, Rafaela
A1 Mendoça da Costa, Tiago
A1 Chalco-Cano, Yurilev
A1 Hernández-Jiménez, Beatriz
K1 Interval-valued functions
K1 Quasilinear functions
K1 Generalized Hukuhara differentiability
AB 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.
PB Springer
YR 2022
FD 2022-04-20
LK https://hdl.handle.net/10433/19488
UL https://hdl.handle.net/10433/19488
LA en
NO Ahmad I, Singh D, Dar Bilal A (2016) Optimality conditions for invex interval valued nonlinear programming problems involving generalized H-derivative. Filomat 30(8):2121–2138. https://doi.org/10.2298/FIL1608121A
NO FEDER-UPO-1381297
NO Dpto. Economía, Métodos Cuantitativos e Hª Económica
DS RIO
RD May 24, 2026