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d-XC integrals: on the generalization of the expanded form of the Choquet integral by restricted dissimilarity functions and their applications

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dc.contributor.authorWieczynski, Jonata
dc.contributor.authorFumanal Idocin, Javier
dc.contributor.authorLucca, Giancarlo
dc.contributor.authorBorges, Eduardo N.
dc.contributor.authorDa Cruz Asmus, Tiago
dc.contributor.authorEmmendorfer, Leonardo R.
dc.contributor.authorBustince Sola, Humberto
dc.contributor.authorPereira Dimuro, Graçaliz
dc.contributor.departmentAutomática y Computaciónes_ES
dc.contributor.departmentAutomatika eta Konputazioaeu
dc.contributor.departmentEstadística, Informática y Matemáticases_ES
dc.contributor.departmentEstatistika, Informatika eta Matematikaeu
dc.date.accessioned2022-09-13T06:30:26Z
dc.date.available2023-05-22T23:00:17Z
dc.date.issued2022
dc.date.updated2022-09-13T06:26:23Z
dc.description.abstractRestricted dissimilarity functions (RDFs) were introduced to overcome problems resulting from the adoption of the standard difference. Based on those RDFs, Bustince et al. introduced a generalization of the Choquet integral (CI), called d-Choquet integral, where the authors replaced standard differences with RDFs, providing interesting theoretical results. Motivated by such worthy properties, joint with the excellent performance in applications of other generalizations of the CI (using its expanded form, mainly), this paper introduces a generalization of the expanded form of the standard Choquet integral (X-CI) based on RDFs, which we named d-XC integrals. We present not only relevant theoretical results but also two examples of applications. We apply d-XC integrals in two problems in decision making, namely a supplier selection problem (which is a multi-criteria decision making problem) and a classification problem in signal processing, based on motor-imagery brain-computer interface (MI-BCI). We found that two d-XC integrals provided better results when compared to the original CI in the supplier selection problem. Besides that, one of the d-XC integrals performed better than any previous MI-BCI results obtained with this framework in the considered signal processing problem.en
dc.description.sponsorshipThis work was supported by Navarra de Servicios y Tecnologías, S.A. (NASERTIC), FAPERGS-Brazil (19/2551-0001279-9, 19/2551-0001660), CNPq-Brazil (301618/2019-4, 305805/2021-5), the Spanish Ministry of Science and Technology (TIN2016-77356-P, PID2019-108392GB-I00 (MCIN/AEI/10.13039/501100011033)).en
dc.embargo.lift2023-05-22
dc.embargo.terms2023-05-22
dc.format.mimetypeapplication/pdfen
dc.identifier.citationWieczynski, J. C.; Fumanal-Idocín, J.; Lucca, G.; Borges, E. N.; Asmus, T.C.; Emmendorfer, L. R.; Bustince, H.; Dimuro, G.P.. (2022). d-XC integrals: on the generalization of the expanded form of the Choquet integral by restricted dissimilarity functions and their applications. IEEE Transactions on Fuzzy Systems.en
dc.identifier.doi10.1109/TFUZZ.2022.3176916
dc.identifier.issn1063-6706
dc.identifier.urihttps://academica-e.unavarra.es/handle/2454/43987
dc.language.isoengen
dc.publisherIEEEen
dc.relation.ispartofIeee Transactions on Fuzzy Systems, 2022en
dc.relation.projectIDinfo:eu-repo/grantAgreement/ES/1PE/TIN2016-77356-Pen
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-108392GB-I00/ES/en
dc.relation.publisherversionhttps://doi.org/10.1109/TFUZZ.2022.3176916
dc.rights© 2022 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other worken
dc.rights.accessRightsAcceso abierto / Sarbide irekiaes
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen
dc.subjectChoquet integralen
dc.subjectRestricted dissimilarity functionsen
dc.subjectD-Choquet integralen
dc.subjectD-XC integralen
dc.subjectMulti-criteria decision makingen
dc.subjectMotor-imagery brain-computer interfaceen
dc.titled-XC integrals: on the generalization of the expanded form of the Choquet integral by restricted dissimilarity functions and their applicationsen
dc.typeinfo:eu-repo/semantics/article
dc.type.versionVersión aceptada / Onetsi den bertsioaes
dc.type.versioninfo:eu-repo/semantics/acceptedVersionen
dspace.entity.typePublication
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relation.isAuthorOfPublication.latestForDiscovery5193d488-fd4e-4556-88ca-ba5116412a36

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