Mostrar el registro sencillo del ítem
Joint measurability of mappings induced by a fuzzy random variable
dc.contributor.author | Alonso de la Fuente, Miriam | |
dc.contributor.author | Terán Agraz, Pedro Nicolás | |
dc.date.accessioned | 2021-02-02T09:08:16Z | |
dc.date.available | 2021-02-02T09:08:16Z | |
dc.date.copyright | © 2020 Elsevier B.V. | |
dc.date.issued | 2020 | |
dc.identifier.citation | Fuzzy Sets and Systems (2020); doi:10.1016/j.fss.2020.10.007 | |
dc.identifier.issn | 0165-0114 | |
dc.identifier.uri | http://hdl.handle.net/10651/57702 | |
dc.description.abstract | The operation of taking the alpha-cut of a compact convex fuzzy set is shown to be jointly measurable with respect to both alpha and the fuzzy set. As a consequence, a number of mappings on product spaces which are induced by a fuzzy random variable are shown to be jointly measurable. Some applications to the relationships between fuzzy random variables and other imprecise random elements are obtained. Finally, a number of conditions are shown to be equivalent to being a fuzzy random variable, at least in the case that the sigma-algebra in the sample space is complete, and logical implications and equivalences between them are established in the general case. | |
dc.description.sponsorship | Research in this paper was partially funded by Spain’s Ministerio de Economía y Competitividad (MTM2015-63971-P) and Ministerio de Ciencia, Innovación y Universidades (PID2019-104486GB-I00) as well as Asturias’ Consejería de Empleo, Industria y Turismo (GRUPIN-IDI2018-000132). | spa |
dc.language.iso | eng | spa |
dc.relation.ispartof | Fuzzy Sets and Systems, 2020 | spa |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | |
dc.title | Joint measurability of mappings induced by a fuzzy random variable | spa |
dc.type | journal article | spa |
dc.relation.projectID | MTM2015-63971-P | spa |
dc.relation.projectID | PID2019-104486GB-I00 | |
dc.relation.projectID | GRUPIN-IDI2018-000132 | |
dc.relation.publisherversion | https://doi.org/10.1016/j.fss.2020.10.007 | spa |
dc.rights.accessRights | open access | |
dc.type.hasVersion | AM |
Ficheros en el ítem
Este ítem aparece en la(s) siguiente(s) colección(ones)
-
Artículos [35917]
-
Estadística e Investigación Operativa [277]
-
Investigaciones y Documentos OpenAIRE [7843]
Publicaciones resultado de proyectos financiados con fondos públicos