Affine construction methodology of aggregation functions
| dc.contributor.author | Roldán López de Hierro, Antonio Francisco | |
| dc.contributor.author | Roldán, Concepción | |
| dc.contributor.author | Bustince Sola, Humberto | |
| dc.contributor.author | Fernández Fernández, Francisco Javier | |
| dc.contributor.author | Rodríguez Martínez, Iosu | |
| dc.contributor.author | Fardoun, Habib | |
| dc.contributor.author | Lafuente López, Julio | |
| dc.contributor.department | Estadística, Informática y Matemáticas | es_ES |
| dc.contributor.department | Estatistika, Informatika eta Matematika | eu |
| dc.date.accessioned | 2020-07-02T06:50:32Z | |
| dc.date.available | 2022-05-11T23:00:11Z | |
| dc.date.issued | 2020 | |
| dc.description.abstract | Aggregation 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.sponsorship | The authors were partially supported by Spanish research project TIN2016-77356-P (AEI/FEDER,UE) and TIN2017-89517-P (AEI/FEDER,UE). | en |
| dc.embargo.lift | 2022-05-11 | |
| dc.embargo.terms | 2022-05-11 | |
| dc.format.extent | 19 p. | |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.doi | 10.1016/j.fss.2020.04.022 | |
| dc.identifier.issn | 0165-0114 | |
| dc.identifier.uri | https://academica-e.unavarra.es/handle/2454/37273 | |
| dc.language.iso | eng | en |
| dc.publisher | Elsevier | en |
| dc.relation.ispartof | Fuzzy Sets and Systems, 2020 | en |
| dc.relation.projectID | info:eu-repo/grantAgreement/ES/1PE/TIN2016-77356-P | |
| dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/TIN2017-89517-P/ES/ | |
| dc.relation.publisherversion | https://doi.org/10.1016/j.fss.2020.04.022 | |
| dc.rights | © 2020 Elsevier B.V. This manuscript version is made available under the CC-BY-NC-ND 4.0. | en |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | |
| dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | |
| dc.subject | Aggregation function | en |
| dc.subject | Affine function | en |
| dc.subject | Affine aggregation function | en |
| dc.subject | Polynomial | en |
| dc.title | Affine construction methodology of aggregation functions | en |
| dc.type | info:eu-repo/semantics/article | |
| dc.type.version | info:eu-repo/semantics/acceptedVersion | |
| dspace.entity.type | Publication | |
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