Admissible OWA operators for fuzzy numbers

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dc.contributor.authorGarcía-Zamora, Diego
dc.contributor.authorCruz, Anderson
dc.contributor.authorNeres, Fernando
dc.contributor.authorSantiago, Regivan
dc.contributor.authorRoldán López de Hierro, Antonio Francisco
dc.contributor.authorPaiva, Rui
dc.contributor.authorPereira Dimuro, Graçaliz
dc.contributor.authorMartínez López, Luis
dc.contributor.authorBedregal, Benjamin
dc.contributor.authorBustince Sola, Humberto
dc.contributor.departmentEstadística, Informática y Matemáticases_ES
dc.contributor.departmentEstatistika, Informatika eta Matematikaeu
dc.contributor.departmentInstitute of Smart Cities - ISCen
dc.date.accessioned2024-05-24T08:34:43Z
dc.date.available2024-05-24T08:34:43Z
dc.date.issued2024
dc.date.updated2024-05-24T08:26:56Z
dc.description.abstractOrdered Weighted Averaging (OWA) operators are some of the most widely used aggregation functions in classic literature, but their application to fuzzy numbers has been limited due to the complexity of defining a total order in fuzzy contexts. However, the recent notion of admissible order for fuzzy numbers provides an effective method to totally order them by refining a given partial order. Therefore, this paper is devoted to defining OWA operators for fuzzy numbers with respect to admissible orders and investigating their properties. Firstly, we define the OWA operators associated with such admissible orders and then we show their main properties. Afterward, an example is presented to illustrate the applicability of these AOWA operators in linguistic decision-making. In this regard, we also develop an admissible order for trapezoidal fuzzy numbers that can be efficiently applied in practice.en
dc.description.sponsorshipThis study was funded by National Council for Scientific and Technological Development (CNPq-Brazil) within Projects 301618/2019-4, 312053/2018-5, 311429/2020-3, and 200282/2022-0, by Coordination for the Improvement of Higher Education Personnel (CAPES-Brazil) within the project Capes-Print 88887.363001/2019-00, by FAPERGS/Brazil (Proc. 19/2551-0001660-3), by PID2022-136627NB-I00 of the Spanish Government. A.F. Roldán López de Hierro is grateful to Ministerio de Ciencia e Innovación by Project PID2020-119478 GB-I00 and to Junta de Andalucía Program FEDER Andalucía 2014-2020, Project A-FQM-170-UGR20. This work has been also partially supported by the Spanish Ministry of Economy and Competitiveness through the Spanish National Project PGC2018-099402-B-I00, the FEDER-UJA project 1380637, and by the Spanish Ministry of Science, Innovation and Universities through a Formación de Profesorado Universitario grant (FPU2019/01203).; Funding text 2: This study was funded by National Council for Scientific and Technological Development (CNPq-Brazil) within Projects 301618/2019-4 , 312053/2018-5 , 311429/2020-3 , and 200282/2022-0 , by Coordination for the Improvement of Higher Education Personnel (CAPES-Brazil) within the project Capes-Print 88887.363001/2019-00 , by FAPERGS /Brazil (Proc. 19/2551-0001660-3 ), by PID2022-136627NB-I00 of the Spanish Government . A.F. Roldán López de Hierro is grateful to Ministerio de Ciencia e Innovación by Project PID2020-119478 GB-I00 and to Junta de Andalucía Program FEDER Andalucía 2014¿2020, Project A-FQM-170-UGR20 . This work has been also partially supported by the Spanish Ministry of Economy and Competitiveness through the Spanish National Project PGC2018-099402-B-I00 , the FEDER-UJA project 1380637 , and by the Spanish Ministry of Science, Innovation and Universities through a Formación de Profesorado Universitario grant (FPU2019/01203).en
dc.format.mimetypeapplication/pdfen
dc.identifier.citationGarcía-Zamora, D., Cruz, A., Neres, F., Santiago, R. H. N., Roldán López de Hierro, A. F., Paiva, R., Dimuro, Graçaliz. P., Martínez, L., Bedregal, B., Bustince, H. (2024) Admissible OWA operators for fuzzy numbers. Fuzzy Sets and Systems, 480, 1-17. https://doi.org/10.1016/j.fss.2024.108863.es_ES
dc.identifier.doi10.1016/j.fss.2024.108863
dc.identifier.issn0165-0114
dc.identifier.urihttps://academica-e.unavarra.es/handle/2454/48188
dc.language.isospaen
dc.publisherElsevieren
dc.relation.ispartofFuzzy Sets and Systems (2024), vol. 480, 108863es_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.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-119478GB-I00/ES/
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-099402-B-I00/ES/
dc.relation.projectIDinfo:eu-repo/grantAgreement///FPU2019%2F01203/
dc.relation.publisherversionhttps://doi.org/10.1016/j.fss.2024.108863
dc.rights© 2024 The Author(s). This is an open access article under the CC BY-NC license.en
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttps://creativecommons.org/licenses/by-nc/4.0/
dc.subjectAdmissible ordersen
dc.subjectFuzzy numbersen
dc.subjectOWA operatorsen
dc.subjectRanking for fuzzy numbersen
dc.titleAdmissible OWA operators for fuzzy numbersen
dc.typeinfo:eu-repo/semantics/article
dc.type.versioninfo:eu-repo/semantics/publishedVersion
dspace.entity.typePublication
relation.isAuthorOfPublication4eb4bdb2-e3c9-46a2-983f-dfc0dfe20e54
relation.isAuthorOfPublicatione3f0cca3-0e2f-46b7-b476-5cda361e0efe
relation.isAuthorOfPublication1bdd7a0e-704f-48e5-8d27-4486444f82c9
relation.isAuthorOfPublication.latestForDiscoverye3f0cca3-0e2f-46b7-b476-5cda361e0efe

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