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Set-based extended aggregation functions

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dc.contributor.authorMesiar, Radko
dc.contributor.authorKolesárová, Anna
dc.contributor.authorGómez González, Daniel
dc.contributor.authorMontero De Juan, Francisco Javier
dc.date.accessioned2024-11-18T08:22:27Z
dc.date.available2024-11-18T08:22:27Z
dc.date.issued2019-07
dc.description.abstractInspired by the Zadeh approach to fuzzy connectives in fuzzy set theory and by some applications, we introduce and study set-based extended functions, and in particular, set-based extended aggregation functions. These functions reflect neither reordering nor repetition of input values, and, linking different arities, they introduce serious constraints for extended functions. A complete characterization of set-based extended (aggregation) functions is given, and some constructions of such functions are also proposed, including several examples.
dc.description.departmentDepto. de Estadística y Ciencia de los Datos
dc.description.departmentDepto. de Estadística e Investigación Operativa
dc.description.facultyFac. de Estudios Estadísticos
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.statuspub
dc.identifier.doihttps://doi.org/10.1002/int.22128
dc.identifier.officialurlhttps://onlinelibrary.wiley.com/doi/10.1002/int.22128
dc.identifier.urihttps://hdl.handle.net/20.500.14352/110677
dc.issue.number9
dc.journal.titleInternational Journal of Intelligent Systems
dc.language.isoeng
dc.page.final2054
dc.page.initial2039
dc.publisherWilley
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internationalen
dc.rights.accessRightsrestricted access
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject.cdu510.3
dc.subject.cdu519.816
dc.subject.cdu519.226
dc.subject.keywordTeoría de conjuntos
dc.subject.keywordAgregación
dc.subject.keywordConjuntos difusos
dc.subject.ucmInvestigación operativa (Estadística)
dc.subject.unesco1299 Otras Especialidades Matemáticas
dc.titleSet-based extended aggregation functions
dc.typejournal article
dc.type.hasVersionVoR
dc.volume.number34
dspace.entity.typePublication
relation.isAuthorOfPublication4dcf8c54-8545-4232-8acf-c163330fd0fe
relation.isAuthorOfPublication9e4cf7df-686c-452d-a98e-7b2602e9e0ea
relation.isAuthorOfPublication.latestForDiscovery4dcf8c54-8545-4232-8acf-c163330fd0fe

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