dc.creator | Osuna Gómez, Rafaela | es |
dc.creator | Costa, T.M. | es |
dc.creator | Chaico Cano, Y. | es |
dc.creator | Hernández Jiménez, Beatriz | es |
dc.date.accessioned | 2022-07-01T08:15:48Z | |
dc.date.available | 2022-07-01T08:15:48Z | |
dc.date.issued | 2022-04-20 | |
dc.identifier.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. | |
dc.identifier.issn | 0101-8205 | es |
dc.identifier.issn | 1807-0302 | es |
dc.identifier.uri | https://hdl.handle.net/11441/134894 | |
dc.description.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 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. | es |
dc.format | application/pdf | es |
dc.format.extent | 16 p. | es |
dc.language.iso | eng | es |
dc.publisher | Springer | es |
dc.relation.ispartof | Computational and Applied Mathematics, 41 (4), 149-1-149-16. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Interval-valued functions | es |
dc.subject | Quasilinear functions | es |
dc.subject | Generalized Hukuhara differentiability | es |
dc.title | Quasilinear approximation for interval-valued functions via generalized Hukuhara differentiability | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Estadística e Investigación Operativa | es |
dc.relation.publisherversion | doi.org/10.1007/s40314-021-01746-6 | es |
dc.identifier.doi | 10.1007/s40314-021-01746-6 | es |
dc.contributor.group | Universidad de Sevilla. FQM153: Estadística e Investigación Operativa | es |
dc.journaltitle | Computational and Applied Mathematics | es |
dc.publication.volumen | 41 | es |
dc.publication.issue | 4 | es |
dc.publication.initialPage | 149-1 | es |
dc.publication.endPage | 149-16 | es |