Constructing interval-valued fuzzy material implication functions derived from general interval-valued grouping functions

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dc.contributor.authorPereira Dimuro, Graçaliz
dc.contributor.authorSantos, Helida
dc.contributor.authorDa Cruz Asmus, Tiago
dc.contributor.authorWieczynski, Jonata
dc.contributor.authorPinheiro, Jocivania
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.accessioned2023-03-07T09:55:04Z
dc.date.available2023-03-07T09:55:04Z
dc.date.issued2022
dc.date.updated2023-03-06T07:53:03Z
dc.description.abstractGrouping functions and their dual counterpart, overlap functions, have drawn the attention of many authors, mainly because they constitute a richer class of operators compared to other types of aggregation functions. Grouping functions are a useful theoretical tool to be applied in various problems, like decision making based on fuzzy preference relations. In pairwise comparisons, for instance, those functions allow one to convey the measure of the amount of evidence in favor of either of two given alternatives. Recently, some generalizations of grouping functions were proposed, such as (i) the n-dimensional grouping functions and the more flexible general grouping functions, which allowed their application in n-dimensional problems, and (ii) n-dimensional and general interval-valued grouping functions, in order to handle uncertainty on the definition of the membership functions in real-life problems. Taking into account the importance of interval-valued fuzzy implication functions in several application problems under uncertainty, such as fuzzy inference mechanisms, this paper aims at introducing a new class of interval-valued fuzzy material implication functions. We study their properties, characterizations, construction methods and provide examples.en
dc.description.sponsorshipupported by CNPq (301618/2019-4, 311429/2020-3), FAPERGS (19/2551-0001660-3), UFERSA, the Spanish Ministry of Science and Technology (TIN2016-77356-P, PID2019-108392GB I00 (MCIN/AEI/10.13039/501100011033)) and Navarra de Servicios y Tecnologías, S.A. (NASERTIC).en
dc.format.mimetypeapplication/pdfen
dc.identifier.citationDimuro, G. P., Santos, H., Asmus, T., Wieczynski, J., Pinheiro, J., Bedregal, B., & Bustince, H. (2022). Constructing interval-valued fuzzy material implication functions derived from general interval-valued grouping functions. 2022 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 1-8. https://doi.org/10.1109/FUZZ-IEEE55066.2022.9882745en
dc.identifier.doi10.1109/FUZZ-IEEE55066.2022.9882745
dc.identifier.isbn978-1-6654-6710-0
dc.identifier.urihttps://academica-e.unavarra.es/handle/2454/44872
dc.language.isoengen
dc.publisherIEEEen
dc.relation.ispartof2022 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE) 1-8en
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/TIN2016-77356-P/
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/10.1109/FUZZ-IEEE55066.2022.9882745
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.subjectFuzzy material implication functionsen
dc.subjectGeneral interval-valued grouping functionsen
dc.subjectGrouping functionsen
dc.titleConstructing interval-valued fuzzy material implication functions derived from general interval-valued grouping functionsen
dc.typeinfo:eu-repo/semantics/conferenceObject
dc.type.versioninfo:eu-repo/semantics/acceptedVersion
dspace.entity.typePublication
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