On fuzzy implications derived from general overlap functions and their relation to other classes
dc.contributor.author | Pinheiro, Jocivania | |
dc.contributor.author | Santos, Helida | |
dc.contributor.author | Pereira Dimuro, Graçaliz | |
dc.contributor.author | Bedregal, Benjamin | |
dc.contributor.author | Santiago, Regivan | |
dc.contributor.author | Fernández Fernández, Francisco Javier | |
dc.contributor.author | Bustince Sola, Humberto | |
dc.contributor.department | Estadística, Informática y Matemáticas | es_ES |
dc.contributor.department | Estatistika, Informatika eta Matematika | eu |
dc.contributor.department | Institute of Smart Cities - ISC | en |
dc.date.accessioned | 2023-03-31T06:55:24Z | |
dc.date.available | 2023-03-31T06:55:24Z | |
dc.date.issued | 2023 | |
dc.date.updated | 2023-03-31T06:34:38Z | |
dc.description.abstract | There 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.sponsorship | This 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.mimetype | application/pdf | en |
dc.identifier.citation | Pinheiro, 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/axioms12010017 | en |
dc.identifier.doi | 10.3390/axioms12010017 | |
dc.identifier.issn | 2075-1680 | |
dc.identifier.uri | https://academica-e.unavarra.es/handle/2454/44997 | |
dc.language.iso | eng | en |
dc.publisher | MDPI | en |
dc.relation.ispartof | Axioms, 2023, 12, 17 | en |
dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-108392GB-I00/ES/ | |
dc.relation.publisherversion | https://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.accessRights | info:eu-repo/semantics/openAccess | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.subject | Aggregation functions | en |
dc.subject | General overlap functions | en |
dc.subject | Grouping functions | en |
dc.subject | Implication functions | en |
dc.subject | Overlap functions | en |
dc.title | On fuzzy implications derived from general overlap functions and their relation to other classes | en |
dc.type | info:eu-repo/semantics/article | |
dc.type.version | info:eu-repo/semantics/publishedVersion | |
dspace.entity.type | Publication | |
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