Construction methods of fuzzy implications on bounded posets

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dc.contributor.authorWang, Mei
dc.contributor.authorZhang, Xiaohong
dc.contributor.authorBustince Sola, Humberto
dc.contributor.authorFernández Fernández, Francisco Javier
dc.contributor.departmentEstadística, Informática y Matemáticases_ES
dc.contributor.departmentEstatistika, Informatika eta Matematikaeu
dc.contributor.departmentInstitute of Smart Cities - ISCen
dc.date.accessioned2024-04-15T11:23:53Z
dc.date.issued2024
dc.date.updated2024-04-15T11:01:42Z
dc.description.abstractThe fuzzy implication on bounded lattices was introduced by Palmeira et al., and the method of extending fuzzy implications on bounded lattices by using retraction was provided. However, we find that the extension of fuzzy implications on bounded lattices can also be realized through homomorphism. In order to get better results, we will continue to study this topic in this paper. In particular, we will focus on the construction methods of fuzzy implications on bounded posets. More precisely, we will give some construction methods of fuzzy implications via 0,1-homomorphism on bounded posets. Then we further study two special kinds of fuzzy implications, (Q,N)-implications and RQ-implications on bounded posets, where Q is a quasi-overlap function. Finally, we discuss the distributive laws and the importation laws of (Q,N)-implications and RQ-implications over a quasi-overlap function Q.en
dc.description.sponsorshipThis work is supported by NNSFC (12271319) and by grant PID2019-108392GB-I00 financed by AEI/10.13039/501100011033.en
dc.embargo.inicio2024-04-15
dc.embargo.lift2026-01-01
dc.embargo.terms2026-01-01
dc.format.mimetypeapplication/pdfen
dc.identifier.citationWang, M., Zhang, X., Bustince, H., Fernandez, J. (2024) Construction methods of fuzzy implications on bounded posets. International Journal of Approximate Reasoning, 164, 1-19. https://doi.org/10.1016/j.ijar.2023.109064.es_ES
dc.identifier.doi10.1016/j.ijar.2023.109064
dc.identifier.issn0888-613X
dc.identifier.urihttps://academica-e.unavarra.es/handle/2454/47971
dc.language.isoengen
dc.publisherElsevieren
dc.relation.ispartofInternational Journal of Approximate Reasoning (2024), vol. 164es_ES
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/10.1016/j.ijar.2023.109064
dc.rights© 2023 Elsevier Inc. This manuscript version is made available under the CC-BY-NC-ND 4.0.en
dc.rights.accessRightsinfo:eu-repo/semantics/embargoedAccess
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject0,1-homomorphismen
dc.subjectFuzzy implicationen
dc.subjectLaw of distributiveen
dc.subjectLaw of importationen
dc.subjectQuasi-overlap functionen
dc.titleConstruction methods of fuzzy implications on bounded posetsen
dc.typeinfo:eu-repo/semantics/article
dc.type.versioninfo:eu-repo/semantics/acceptedVersion
dspace.entity.typePublication
relation.isAuthorOfPublication1bdd7a0e-704f-48e5-8d27-4486444f82c9
relation.isAuthorOfPublication741321a5-40af-41aa-bacb-5da283dd18ab
relation.isAuthorOfPublication.latestForDiscovery1bdd7a0e-704f-48e5-8d27-4486444f82c9

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