Admissible orders on fuzzy numbers

Zumelzu, Nicolás; Bedregal, Benjamin; Mansilla, Edmundo; Bustince Sola, Humberto; Díaz, Roberto

doi:10.1109/TFUZZ.2022.3160326

dc.creator	Zumelzu, Nicolás	es_ES
dc.creator	Bedregal, Benjamin	es_ES
dc.creator	Mansilla, Edmundo	es_ES
dc.creator	Bustince Sola, Humberto	es_ES
dc.creator	Díaz, Roberto	es_ES
dc.date.accessioned	2022-08-30T08:30:53Z
dc.date.available	2023-03-17T00:00:16Z
dc.date.issued	2022
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.issn	1063-6706
dc.identifier.uri	https://hdl.handle.net/2454/43887
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.format.mimetype	application/pdf	en
dc.language.iso	eng	en
dc.publisher	IEEE	en
dc.relation.ispartof	IEEE Transactions on Fuzzy Systems, 2022	en
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.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.date.updated	2022-08-30T08:23:40Z
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	es_ES
dc.rights.accessRights	Acceso abierto / Sarbide irekia	es
dc.rights.accessRights	info:eu-repo/semantics/openAccess	en
dc.embargo.terms	2023-03-17
dc.identifier.doi	10.1109/TFUZZ.2022.3160326
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.type.version	Versión aceptada / Onetsi den bertsioa	es
dc.type.version	info:eu-repo/semantics/acceptedVersion	en