Degree of totalness: how to choose the best admissible permutation for vector fuzzy integration

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dc.contributor.authorFerrero Jaurrieta, Mikel
dc.contributor.authorHoranská, Lubomíra
dc.contributor.authorLafuente López, Julio
dc.contributor.authorMesiar, Radko
dc.contributor.authorPereira Dimuro, Graçaliz
dc.contributor.authorTakáč, Zdenko
dc.contributor.authorGómez Fernández, Marisol
dc.contributor.authorFernández Fernández, Francisco Javier
dc.contributor.authorBustince Sola, Humberto
dc.contributor.departmentEstadística, Informática y Matemáticases_ES
dc.contributor.departmentEstatistika, Informatika eta Matematikaeu
dc.date.accessioned2024-04-18T13:37:36Z
dc.date.issued2023
dc.date.updated2024-04-18T13:18:23Z
dc.description.abstractThe use of aggregation operators that require ordering of the data brings a problem when the structures to be aggregated are multi-valued, since there may be several admissible orders. To addressing this problem, the concept of admissible permutation was introduced for intervals. In this paper we extend this concept to vector domain. However, the problem of selecting the best possible permutation is still an open problem. In this paper we present a novel concept in order to choose the best admissible permutation for vectors: the degree of totalness. This concept allows us to represent to which degree the admissible permutation reorder given vectors as a chain with respect to the partial order. Finally, from the best admissible permutation we construct the Choquet integral.en
dc.description.sponsorshipThis work has been funded by the Agencia Estatal de Investigación (Government of Spain) under the project PID2019-108392GB-I00 (AEI/10.13039/ 501100011033), Grant VEGA 1/0267/21 (Slovak Republic), Grant APVV-18-0052 and by Tracasa Instrumental and the Immigration Policy and Justice Department of the Government of Navarra.en
dc.embargo.inicio2024-04-18
dc.embargo.lift2025-08-30
dc.embargo.terms2025-08-30
dc.format.mimetypeapplication/pdfen
dc.identifier.citationFerrero-Jaurrieta, M., Horanská, L., Lafuente, J., Mesiar, R., Dimuro, G.P., Takác, Z., Gómez, M., Fernández, J., Bustince, H. (2023) Degree of totalness: How to choose the best admissible permutation for vector fuzzy integration. Fuzzy Sets and Systems, 466, 1-15. https://doi.org/10.1016/j.fss.2022.12.017.en
dc.identifier.doi10.1016/j.fss.2022.12.017
dc.identifier.issn0165-0114
dc.identifier.urihttps://academica-e.unavarra.es/handle/2454/47989
dc.language.isoengen
dc.publisherElsevieren
dc.relation.ispartofFuzzy Sets and Systems, 466 (2023) 108461en
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-108392GB-I00/ES/
dc.relation.projectIDinfo:eu-repo/grantAgreement/Gobierno de Navarra///
dc.relation.publisherversionhttps://doi.org/10.1016/j.fss.2022.12.017
dc.rights© 2022 Elsevier B.V. This manuscript version is made available under the CC-BY-NC-ND 4.0en
dc.rights.accessRightsinfo:eu-repo/semantics/embargoedAccess
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectAdmissible permutationen
dc.subjectBest admissible permutationen
dc.subjectDegree of totalnessen
dc.subjectFuzzy integrationen
dc.subjectVector Choquet integralen
dc.titleDegree of totalness: how to choose the best admissible permutation for vector fuzzy integrationen
dc.typeinfo:eu-repo/semantics/article
dc.type.versioninfo:eu-repo/semantics/acceptedVersion
dspace.entity.typePublication
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