Representation of quasi-overlap functions for normal convex fuzzy truth values based on generalized extended overlap functions

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dc.contributor.authorWang, Yiding
dc.contributor.authorQiao, Junsheng
dc.contributor.authorZhang, Wei
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.accessioned2025-02-13T11:53:18Z
dc.date.issued2025-03-01
dc.date.updated2025-02-13T11:29:07Z
dc.description.abstractAt present, (quasi-)overlap functions have been extended to various universes of discourse and become a hot research topic. Meanwhile, the investigation of extended aggregation operations for normal convex fuzzy truth values has also attracted much attention. This paper mainly studies the representation of quasi-overlap functions for normal convex fuzzy truth values based on generalized extended overlap functions, which is the fundamental problem in the whole study of overlap functions for normal convex fuzzy truth values. Firstly, we present the definitions of (restrictive-)quasi-overlap functions and lattice-ordered-(restrictive-)quasi-overlap functions for normal convex fuzzy truth values and generalized extended overlap functions, respectively. Secondly, we present the (equivalent) characterizations for the closure properties of generalized extended overlap functions for various fuzzy truth values. Thirdly, we characterize the basic properties of generalized extended overlap functions for normal convex fuzzy truth values. Finally, by an equivalent characterization with a prerequisite, we successfully represent quasi-overlap functions for normal convex fuzzy truth values based on generalized extended overlap functions. Notably, we can quickly obtain (restrictive-)quasi-overlap functions for normal convex fuzzy truth values using the left-continuous quasi-overlap functions on interval [0,1]. Moreover, regarding the relationships between four types of quasi-overlap functions for normal convex fuzzy truth values, the details implication relations are that lattice-ordered-(restrictive-)quasi-overlap functions are strictly stronger than (restrictive-)quasi-overlap functions for normal convex fuzzy truth values even if all of them are constructed by generalized extended overlap functions.en
dc.description.sponsorshipSupported by National Natural Science Foundation of China (62166037, 12201512), Science and Technology Program of Gansu Province (20JR10RA101), Longyuan Youth Innovation and Entrepreneurship Talent Project (6017/20231004), Funds for Innovative Fundamental Research Group Project of Gansu Province (23JRRA684), research project PID2022-136627NB-I00, and MCIN/AEI/10.13039/501100011033/FEDER, UE.
dc.embargo.inicio2025-03-01
dc.embargo.lift2027-03-01
dc.embargo.terms2027-03-01
dc.format.mimetypeapplication/pdfen
dc.identifier.citationWang, Y., Qiao, J., Zhang, W., Bustince, H. (2025). Representation of quasi-overlap functions for normal convex fuzzy truth values based on generalized extended overlap functions. Information Sciences, 694, 1-20. https://doi.org/10.1016/j.ins.2024.121710.
dc.identifier.doi10.1016/j.ins.2024.121710
dc.identifier.issn0020-0255
dc.identifier.urihttps://academica-e.unavarra.es/handle/2454/53393
dc.language.isoeng
dc.publisherElsevier
dc.relation.ispartofInformation Sciences (2025), vol. 694, 121710
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/PID2022-136627NB-I00/ES/
dc.relation.publisherversionhttps://doi.org/10.1016/j.ins.2024.121710
dc.rights© 2024 Elsevier Inc. This manuscript version is made available under the CC-BY-NC-ND 4.0
dc.rights.accessRightsinfo:eu-repo/semantics/embargoedAccess
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectGeneralized extended overlap functionsen
dc.subjectNormal convex fuzzy truth valuesen
dc.subjectQuasi-overlap functionsen
dc.subjectType-2 fuzzy setsen
dc.titleRepresentation of quasi-overlap functions for normal convex fuzzy truth values based on generalized extended overlap functionsen
dc.typeinfo:eu-repo/semantics/article
dc.type.versioninfo:eu-repo/semantics/acceptedVersion
dspace.entity.typePublication
relation.isAuthorOfPublication1bdd7a0e-704f-48e5-8d27-4486444f82c9
relation.isAuthorOfPublication.latestForDiscovery1bdd7a0e-704f-48e5-8d27-4486444f82c9

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