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dc.creatorRoldán López de Hierro, Antonio F.es_ES
dc.creatorRoldán, Concepciónes_ES
dc.creatorBustince Sola, Humbertoes_ES
dc.creatorFernández Fernández, Francisco Javieres_ES
dc.creatorRodríguez Martínez, Iosues_ES
dc.creatorFardoun, Habibes_ES
dc.creatorLafuente López, Julioes_ES
dc.date.accessioned2020-07-02T06:50:32Z
dc.date.issued2020
dc.identifier.issn0165-0114
dc.identifier.urihttps://hdl.handle.net/2454/37273
dc.description.abstractAggregation functions have attracted much attention in recent times because of its potential use in many areas such us data fusion and decision making. In practice, most of the aggregation functions that scientists use in their studies are constructed from very simple (usually affine or polynomial) functions. However, these are distinct in nature. In this paper, we develop a systematic study of these two classes of functions from a common point of view. To do this, we introduce the class of affine aggregation functions, which cover both the aforementioned families and most of examples of aggregation functions that are used in practice, including, by its great applicability, the symmetric case. Our study allows us to characterize when a function constructed from affine or polynomial functions is, in fact, a new aggregation function. We also study when sums or products of this kind of functions are again an aggregation function.en
dc.description.sponsorshipThe authors were partially supported by Spanish research project TIN2016-77356-P (AEI/FEDER,UE) and TIN2017-89517-P (AEI/FEDER,UE).en
dc.format.extent19 p.
dc.format.mimetypeapplication/pdfen
dc.language.isoengen
dc.publisherElsevieren
dc.relation.ispartofFuzzy Sets and Systems, 2020en
dc.rights© 2020 Elsevier B.V. This manuscript version is made available under the CC-BY-NC-ND 4.0.en
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectAggregation functionen
dc.subjectAffine functionen
dc.subjectAffine aggregation functionen
dc.subjectPolynomialen
dc.titleAffine construction methodology of aggregation functionsen
dc.typeinfo:eu-repo/semantics/articleen
dc.typeArtículo / Artikuluaes
dc.contributor.departmentUniversidad Pública de Navarra. Departamento de Estadística, Informática y Matemáticases_ES
dc.contributor.departmentNafarroako Unibertsitate Publikoa. Estatistika, Informatika eta Matematikak Sailaeu
dc.rights.accessRightsinfo:eu-repo/semantics/embargoedAccessen
dc.rights.accessRightsAcceso embargado / Sarbidea bahitua dagoes
dc.embargo.lift2022-05-11
dc.embargo.terms2022-05-11
dc.identifier.doi10.1016/j.fss.2020.04.022
dc.relation.projectIDinfo:eu-repo/grantAgreement/ES/1PE/TIN2016-77356-Pen
dc.relation.projectIDinfo:eu-repo/grantAgreement/ES/2PE/TIN2017-89517-Pen
dc.relation.publisherversionhttps://doi.org/10.1016/j.fss.2020.04.022
dc.type.versioninfo:eu-repo/semantics/acceptedVersionen
dc.type.versionVersión aceptada / Onetsi den bertsioaes


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© 2020 Elsevier B.V. This manuscript version is made available under the CC-BY-NC-ND 4.0.
Except where otherwise noted, this item's license is described as © 2020 Elsevier B.V. This manuscript version is made available under the CC-BY-NC-ND 4.0.