Pseudo overlap functions, fuzzy implications and pseudo grouping functions with applications

dc.contributor.authorZhang, Xiaohong
dc.contributor.authorLiang, Rong
dc.contributor.authorBustince Sola, Humberto
dc.contributor.authorBedregal, Benjamin
dc.contributor.authorFernández Fernández, Francisco Javier
dc.contributor.authorLi, Mengyuan
dc.contributor.authorOu, Qiqi
dc.contributor.departmentEstadística, Informática y Matemáticases_ES
dc.contributor.departmentEstatistika, Informatika eta Matematikaeu
dc.date.accessioned2023-04-26T06:17:41Z
dc.date.available2023-04-26T06:17:41Z
dc.date.issued2022
dc.date.updated2023-04-26T06:11:06Z
dc.description.abstractOverlap and grouping functions are important aggregation operators, especially in information fusion, classification and decision-making problems. However, when we do more in-depth application research (for example, non-commutative fuzzy reasoning, complex multi-attribute decision making and image processing), we find overlap functions as well as grouping functions are required to be commutative (or symmetric), which limit their wide applications. For the above reasons, this paper expands the original notions of overlap functions and grouping functions, and the new concepts of pseudo overlap functions and pseudo grouping functions are proposed on the basis of removing the commutativity of the original functions. Some examples and construction methods of pseudo overlap functions and pseudo grouping functions are presented, and the residuated implication (co-implication) operators derived from them are investigated. Not only that, some applications of pseudo overlap (grouping) functions in multi-attribute (group) decision-making, fuzzy mathematical morphology and image processing are discussed. Experimental results show that, in many application fields, pseudo overlap functions and pseudo grouping functions have greater flexibility and practicability.en
dc.description.sponsorshipThis research was funded by National Natural Science Foundation of China (No. 12271319) and research project No. PID2019-108392GB-I00 (AEI/10.13039/501100011033). The Major Program of the National Social Science Foundation of China under Grant No. 20&ZD047.en
dc.format.mimetypeapplication/pdfen
dc.identifier.citationZhang, X., Liang, R., Bustince, H., Bedregal, B., Fernandez, J., Li, M., & Ou, Q. (2022). Pseudo Overlap Functions, Fuzzy Implications and Pseudo Grouping Functions with Applications. Axioms, 11(11), 593. https://doi.org/10.3390/axioms11110593en
dc.identifier.doi10.3390/axioms11110593
dc.identifier.issn2075-1680
dc.identifier.urihttps://academica-e.unavarra.es/handle/2454/45196
dc.language.isoengen
dc.publisherMDPIen
dc.relation.ispartofAxioms 2022, 11(11), 1-29en
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/axioms11110593
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.subjectFuzzy implicationen
dc.subjectFuzzy logicen
dc.subjectInformation fusionen
dc.subjectPseudo overlap functionen
dc.subjectPseudo t-normen
dc.titlePseudo overlap functions, fuzzy implications and pseudo grouping functions with applicationsen
dc.typeinfo:eu-repo/semantics/article
dc.type.versioninfo:eu-repo/semantics/publishedVersion
dspace.entity.typePublication
relation.isAuthorOfPublication1bdd7a0e-704f-48e5-8d27-4486444f82c9
relation.isAuthorOfPublicatione3f0cca3-0e2f-46b7-b476-5cda361e0efe
relation.isAuthorOfPublication741321a5-40af-41aa-bacb-5da283dd18ab
relation.isAuthorOfPublication.latestForDiscovery1bdd7a0e-704f-48e5-8d27-4486444f82c9

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