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dCF-integrals: generalizing CF-integrals by means of restricted dissimilarity functions

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dc.contributor.authorWieczynski, Jonata
dc.contributor.authorLucca, Giancarlo
dc.contributor.authorPereira Dimuro, Graçaliz
dc.contributor.authorBorges, Eduardo N.
dc.contributor.authorSanz Delgado, José Antonio
dc.contributor.authorDa Cruz Asmus, Tiago
dc.contributor.authorFernández Fernández, Francisco Javier
dc.contributor.authorBustince Sola, Humberto
dc.contributor.departmentEstatistika, Informatika eta Matematikaeu
dc.contributor.departmentInstitute of Smart Cities - ISCen
dc.contributor.departmentEstadística, Informática y Matemáticases_ES
dc.contributor.funderUniversidad Pública de Navarra / Nafarroako Unibertsitate Publikoa, PJUPNA1926es
dc.date.accessioned2023-02-13T11:44:05Z
dc.date.available2023-06-17T23:00:13Z
dc.date.issued2022
dc.date.updated2023-02-13T11:29:05Z
dc.description.abstractThe Choquet integral (CI) is an averaging aggregation function that has been used, e.g., in the fuzzy reasoning method (FRM) of fuzzy rule-based classification systems (FRBCSs) and in multicriteria decision making in order to take into account the interactions among data/criteria. Several generalizations of the CI have been proposed in the literature in order to improve the performance of FRBCSs and also to provide more flexibility in the different models by relaxing both the monotonicity requirement and averaging conditions of aggregation functions. An important generalization is the CF -integrals, which are preaggregation functions that may present interesting nonaveraging behavior depending on the function F adopted in the construction and, in this case, offering competitive results in classification. Recently, the concept of d-Choquet integrals was introduced as a generalization of the CI by restricted dissimilarity functions (RDFs), improving the usability of CIs, as when comparing inputs by the usual difference may not be viable. The objective of this article is to introduce the concept of dCF -integrals, which is a generalization of CF -integrals by RDFs. The aim is to analyze whether the usage of dCF -integrals in the FRM of FRBCSs represents a good alternative toward the standard CF -integrals that just consider the difference as a dissimilarity measure. For that, we consider six RDFs combined with five fuzzy measures, applied with more than 20 functions F . The analysis of the results is based on statistical tests, demonstrating their efficiency. Additionally, comparing the applicability of dCF -integrals versus CF -integrals, the range of the good generalizations of the former is much larger than that of the latter.en
dc.description.sponsorshipSupported by Navarra de Servicios y Tecnologías, S.A. (NASERTIC), PNPD/CAPES (464880/2019-00), FAPERGS (19/2551-0001279-9, 19/2551-0001660), CNPq (301618/2019-4, 305805/2021-5), the Spanish Ministry of Science and Technology (TIN2016-77356-P) and [PID2019-108392GB I00 (MCIN/AEI/10.13039/501100011033)] and UPNA (PJUPNA1926).en
dc.embargo.lift2023-06-17
dc.embargo.terms2023-06-17
dc.format.mimetypeapplication/pdfen
dc.identifier.citationWieczynski, J., Lucca, G., Dimuro, G. P., Borges, E. N., Sanz, J. A., Asmus, T. da C., Fernandez, J., & Bustince, H. (2023). dc_{f}-integrals: Generalizing c_{f}-integrals by means of restricted dissimilarity functions. IEEE Transactions on Fuzzy Systems, 31(1), 160-173. https://doi.org/10.1109/TFUZZ.2022.3184054en
dc.identifier.doi10.1109/TFUZZ.2022.3184054
dc.identifier.issn1063-6706
dc.identifier.urihttps://academica-e.unavarra.es/handle/2454/44684
dc.language.isoengen
dc.publisherIEEEen
dc.relation.ispartofIEEE Transactions on Fuzzy Systems, vol. 31, no. 1, pp. 160-173, Jan. 2023en
dc.relation.projectIDinfo:eu-repo/grantAgreement/MICYT//TIN2016-77356-Pen
dc.relation.projectIDinfo:eu-repo/grantAgreement/MICYT//PID2019-108392GB-I00en
dc.relation.publisherversionhttps://doi.org/10.1109/TFUZZ.2022.3184054
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 work.en
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.subjectCF-integralsen
dc.subjectd-Choquet integralsen
dc.subjectRestricted dissimilarity functionsen
dc.subjectFuzzy rule based classification systemsen
dc.subjectPre-aggregation functionsen
dc.titledCF-integrals: generalizing CF-integrals by means of restricted dissimilarity functionsen
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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