Publication: Admissible orders on fuzzy numbers
| dc.contributor.author | Zumelzu, Nicolás | |
| dc.contributor.author | Callejas Bedregal, Benjamin | |
| dc.contributor.author | Mansilla, Edmundo | |
| dc.contributor.author | Bustince Sola, Humberto | |
| dc.contributor.author | Díaz, Roberto | |
| dc.contributor.department | Estatistika, Informatika eta Matematika | eu |
| dc.contributor.department | Institute of Smart Cities - ISC | en |
| dc.contributor.department | Estadística, Informática y Matemáticas | es_ES |
| dc.date.accessioned | 2022-08-30T08:30:53Z | |
| dc.date.available | 2023-03-17T00:00:16Z | |
| dc.date.issued | 2022 | |
| dc.date.updated | 2022-08-30T08:23:40Z | |
| dc.description.abstract | From the more than two hundred partial orders for fuzzy numbers proposed in the literature, only a few are total. In this paper, we introduce the notion of admissible order for fuzzy numbers equipped with a partial order, i.e. a total order which refines the partial order. In particular, it is given special attention to the partial order proposed by Klir and Yuan in 1995. Moreover, we propose a method to construct admissible orders on fuzzy numbers in terms of linear orders defined for intervals considering a strictly increasing upper dense sequence, proving that this order is admissible for a given partial order. Finally, we use admissible orders to ranking the path costs in fuzzy weighted graphs. IEEE | en |
| dc.description.sponsorship | This work was supported by the Brazilian funding agency CNPq (Brazilian Research Council) under Projects: 311429/2020-3 and by the project PID2019-108392GB-I00 (AEI/10.13039/ 501100011033) of the Spanish Government. | en |
| dc.embargo.lift | 2023-03-17 | |
| dc.embargo.terms | 2023-03-17 | |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.citation | Zumelzu, N.; Bedregal, B.; Mansilla, E.; Bustince, H.; Diaz, R.. (2022). Admissible orders on fuzzy numbers. IEEE Transactions on Fuzzy Systems | en |
| dc.identifier.doi | 10.1109/TFUZZ.2022.3160326 | |
| dc.identifier.issn | 1063-6706 | |
| dc.identifier.uri | https://academica-e.unavarra.es/handle/2454/43887 | |
| dc.language.iso | eng | en |
| dc.publisher | IEEE | en |
| dc.relation.ispartof | IEEE Transactions on Fuzzy Systems, 2022 | 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/ | en |
| dc.relation.publisherversion | https://doi.org/10.1109/TFUZZ.2022.3160326 | |
| dc.rights | © 2021 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.accessRights | Acceso abierto / Sarbide irekia | es |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | en |
| dc.subject | Admissible orders | en |
| dc.subject | Fuzzy numbers | en |
| dc.subject | Fuzzy sets | en |
| dc.subject | Fuzzy weighted graphs | en |
| dc.subject | Kernel | en |
| dc.subject | Orders on fuzzy numbers | en |
| dc.subject | Shortest path problem | en |
| dc.subject | Topology | en |
| dc.subject | Uncertainty | en |
| dc.subject | Upper bound | en |
| dc.subject | Writing | en |
| dc.title | Admissible orders on fuzzy numbers | en |
| dc.type | Artículo / Artikulua | es |
| dc.type | info:eu-repo/semantics/article | en |
| dc.type.version | Versión aceptada / Onetsi den bertsioa | es |
| dc.type.version | info:eu-repo/semantics/acceptedVersion | en |
| dspace.entity.type | Publication | |
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