Article
Quasilinear approximation for interval-valued functions via generalized Hukuhara differentiability
Author/s | Osuna Gómez, Rafaela
![]() ![]() ![]() ![]() ![]() ![]() Costa, T.M. Chaico Cano, Y. Hernández Jiménez, Beatriz |
Department | Universidad de Sevilla. Departamento de Estadística e Investigación Operativa |
Publication Date | 2022-04-20 |
Deposit Date | 2022-07-01 |
Published in |
|
Abstract | 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 ... 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. |
Citation | Osuna 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. |
Files | Size | Format | View | Description |
---|---|---|---|---|
Quasilinear approximation for ... | 426.1Kb | ![]() | View/ | |