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Joint measurability of mappings induced by a fuzzy random variable

dc.contributor.authorAlonso de la Fuente, Miriam 
dc.contributor.authorTerán Agraz, Pedro Nicolás 
dc.date.accessioned2021-02-02T09:08:16Z
dc.date.available2021-02-02T09:08:16Z
dc.date.copyright© 2020 Elsevier B.V.
dc.date.issued2020
dc.identifier.citationFuzzy Sets and Systems (2020); doi:10.1016/j.fss.2020.10.007
dc.identifier.issn0165-0114
dc.identifier.urihttp://hdl.handle.net/10651/57702
dc.description.abstractThe 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.sponsorshipResearch 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.isoengspa
dc.relation.ispartofFuzzy Sets and Systems, 2020spa
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.titleJoint measurability of mappings induced by a fuzzy random variablespa
dc.typejournal articlespa
dc.relation.projectIDMTM2015-63971-Pspa
dc.relation.projectIDPID2019-104486GB-I00
dc.relation.projectIDGRUPIN-IDI2018-000132
dc.relation.publisherversionhttps://doi.org/10.1016/j.fss.2020.10.007spa
dc.rights.accessRightsopen access
dc.type.hasVersionAM


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