A new family of aggregation functions for intervals

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dc.contributor.authorDíaz-Vázquez, Susana
dc.contributor.authorTorres-Manzanera, Emilio
dc.contributor.authorRico, Noelia
dc.contributor.authorMesiar, Radko
dc.contributor.authorRodríguez Martínez, Iosu
dc.contributor.authorLafuente López, Julio
dc.contributor.authorDíaz, Irene
dc.contributor.authorMontes Rodríguez, Susana
dc.contributor.authorBustince Sola, Humberto
dc.contributor.departmentEstadística, Informática y Matemáticases_ES
dc.contributor.departmentEstatistika, Informatika eta Matematikaeu
dc.date.accessioned2024-03-25T15:05:19Z
dc.date.available2024-03-25T15:05:19Z
dc.date.issued2024
dc.date.updated2024-03-25T14:40:24Z
dc.description.abstractAggregation operators are unvaluable tools when different pieces of information have to be taken into account with respect to the same object. They allow to obtain a unique outcome when different evaluations are available for the same element/object. In this contribution we assume that the opinions are not given in form of isolated values, but intervals. We depart from two “classical” aggregation functions and define a new operator for aggregating intervals based on the two original operators. We study under what circumstances this new function is well defined and we provide a general characterization for monotonicity. We also study the behaviour of this operator when the departing functions are the most common aggregation operators. We also provide an illustrative example demonstrating the practical application of the theoretical contribution to ensemble deep learning models.en
dc.description.sponsorshipAuthors would like to thank for the support of the Spanish Ministry of Science and Innovation projects PID2022-139886NB-I00 (S. Diaz-Vazquez, E. Torres-Manzanera, N. Rico, I. Diaz and S. Montes) and Ministerio de Educación y Formación Profesional PID2022-136627NB-I00 (I. Rodriguez-Martinez and H. Bustince).en
dc.format.mimetypeapplication/pdfen
dc.identifier.citationDiaz-Vazquez, S., Torres-Manzanera, E., Rico, N., Mesiar, R., Rodriguez-Martinez, I., Lafuente, J., Diaz, I., Montes, S., Bustince, H. (2024) A new family of aggregation functions for intervals. Computational and Applied Mathematics, 43(1), 1-27. https://doi.org/10.1007/s40314-023-02525-1.en
dc.identifier.doi10.1007/s40314-023-02525-1
dc.identifier.issn2238-3603
dc.identifier.urihttps://academica-e.unavarra.es/handle/2454/47777
dc.language.isoengen
dc.publisherSpringeren
dc.relation.ispartofComputational and Applied Mathematics (2024), 43(17)en
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/PID2022-139886NB-I00/ES/
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/PID2022-136627NB-I00/ES/
dc.relation.publisherversionhttps://doi.org/10.1007/s40314-023-02525-1
dc.rights© The Author(s) 2023. This article is licensed under a Creative Commons Attribution 4.0 International License.en
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectAggregation functionen
dc.subjectInjectivityen
dc.subjectIntervalsen
dc.subjectMonotonicityen
dc.titleA new family of aggregation functions for intervalsen
dc.typeinfo:eu-repo/semantics/article
dc.type.versioninfo:eu-repo/semantics/publishedVersion
dspace.entity.typePublication
relation.isAuthorOfPublication70c54ba9-626d-461e-aa8a-a3f99f35ba13
relation.isAuthorOfPublicationd2feef58-531d-47fd-b5cd-340a50bec9cf
relation.isAuthorOfPublication1bdd7a0e-704f-48e5-8d27-4486444f82c9
relation.isAuthorOfPublication.latestForDiscovery70c54ba9-626d-461e-aa8a-a3f99f35ba13

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