On fuzzy implications derived from general overlap functions and their relation to other classes

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dc.contributor.authorPinheiro, Jocivania
dc.contributor.authorSantos, Helida
dc.contributor.authorPereira Dimuro, Graçaliz
dc.contributor.authorBedregal, Benjamin
dc.contributor.authorSantiago, Regivan
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.contributor.departmentInstitute of Smart Cities - ISCen
dc.date.accessioned2023-03-31T06:55:24Z
dc.date.available2023-03-31T06:55:24Z
dc.date.issued2023
dc.date.updated2023-03-31T06:34:38Z
dc.description.abstractThere are distinct techniques to generate fuzzy implication functions. Despite most of them using the combination of associative aggregators and fuzzy negations, other connectives such as (general) overlap/grouping functions may be a better strategy. Since these possibly non-associative operators have been successfully used in many applications, such as decision making, classification and image processing, the idea of this work is to continue previous studies related to fuzzy implication functions derived from general overlap functions. In order to obtain a more general and flexible context, we extend the class of implications derived by fuzzy negations and t-norms, replacing the latter by general overlap functions, obtaining the so-called (GO, N)-implication functions. We also investigate their properties, the aggregation of (GO, N)-implication functions, their characterization and the intersections with other classes of fuzzy implication functions.en
dc.description.sponsorshipThis research was funded by CNPq (grant numbers: 312053/2018-5, 301618/2019-4, 311429/2020-3), FAPERGS (grant number: 19/2551-0001660-3), CAPES-Print (grant number: 88887.363001/2019-00), Spanish Ministry Science and Tech. (grant numbers: TIN2016-77356-P, PID2019-108392GB I00 (AEI/10.13039/501100011033)), and Fundación “La Caixa” (grant number: LCF/PR/PR13/51080004).en
dc.format.mimetypeapplication/pdfen
dc.identifier.citationPinheiro, J., Santos, H., Dimuro, G. P., Bedregal, B., Santiago, R. H. N., Fernandez, J., & Bustince, H. (2022). On Fuzzy Implications Derived from General Overlap Functions and Their Relation to Other Classes. Axioms, 12(1), 17. https://doi.org/10.3390/axioms12010017en
dc.identifier.doi10.3390/axioms12010017
dc.identifier.issn2075-1680
dc.identifier.urihttps://academica-e.unavarra.es/handle/2454/44997
dc.language.isoengen
dc.publisherMDPIen
dc.relation.ispartofAxioms, 2023, 12, 17en
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.publisherversionhttps://doi.org/10.3390/axioms12010017
dc.rights© 2022 by the authors. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license.en
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectAggregation functionsen
dc.subjectGeneral overlap functionsen
dc.subjectGrouping functionsen
dc.subjectImplication functionsen
dc.subjectOverlap functionsen
dc.titleOn fuzzy implications derived from general overlap functions and their relation to other classesen
dc.typeinfo:eu-repo/semantics/article
dc.type.versioninfo:eu-repo/semantics/publishedVersion
dspace.entity.typePublication
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relation.isAuthorOfPublication741321a5-40af-41aa-bacb-5da283dd18ab
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