Artículo
Quasilinear approximation for interval-valued functions via generalized Hukuhara differentiability
Autor/es | Osuna Gómez, Rafaela
Costa, T.M. Chaico Cano, Y. Hernández Jiménez, Beatriz |
Departamento | Universidad de Sevilla. Departamento de Estadística e Investigación Operativa |
Fecha de publicación | 2022-04-20 |
Fecha de depósito | 2022-07-01 |
Publicado en |
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Resumen | 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. |
Cita | 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. |
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