On admissible orders over closed subintervals of [0,1]

Santana, Fagner; Callejas Bedregal, Benjamin; Viana, Petrucio; Bustince Sola, Humberto

Publication:
On admissible orders over closed subintervals of [0,1]

dc.contributor.author	Santana, Fagner
dc.contributor.author	Callejas Bedregal, Benjamin
dc.contributor.author	Viana, Petrucio
dc.contributor.author	Bustince Sola, Humberto
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	2020-07-02T06:50:34Z
dc.date.available	2022-02-26T00:00:14Z
dc.date.issued	2020
dc.description.abstract	In this paper, we make some considerations about admissible orders on the set of closed subintervals of the unit interval I[0,1], i.e. linear orders that refine the product order on intervals. We propose a new way to generate admissible orders on I[0,1] which is more general than those we find in the current literature. Also, we deal with the possibility of an admissible order on I[0,1] to be isomorphic to the usual order on [0,1]. We prove that some orders constructed by our method are not isomorphic to the usual one and we make some considerations about the following question: is there some admissible order on I[0,1] isomorphic to the usual order on [0,1]?	en
dc.description.sponsorship	This work was partially supported by the Brazilian funding agency CNPq (Conselho Nacional de Desenvolvimento Científico e Tecnológico), under Proc. No. 307781/2016-0 , and by research projects TIN2016-77356-P (AEI/FEDER,UE) and TIN2016-81731-REDT (AEI/FEDER,UE) of the Spanish Government.	en
dc.embargo.lift	2022-02-26
dc.embargo.terms	2022-02-26
dc.format.extent	20 p.
dc.format.mimetype	application/pdf	en
dc.identifier.doi	10.1016/j.fss.2020.02.009
dc.identifier.issn	0165-0114
dc.identifier.uri	https://academica-e.unavarra.es/handle/2454/37281
dc.language.iso	eng	en
dc.publisher	Elsevier	en
dc.relation.ispartof	Fuzzy Sets and Systems, 2020	en
dc.relation.projectID	info:eu-repo/grantAgreement/ES/1PE/TIN2016-77356-P	en
dc.relation.projectID	info:eu-repo/grantAgreement/ES/1PE/TIN2016-81731	en
dc.relation.publisherversion	https://doi.org/10.1016/j.fss.2020.02.009
dc.rights	© 2020 Elsevier B.V. This manuscript version is made available under the CC-BY-NC-ND 4.0.	en
dc.rights.accessRights	info:eu-repo/semantics/openAccess	en
dc.rights.accessRights	Acceso abierto / Sarbide irekia	es
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject	Interval-valued fuzzy sets	en
dc.subject	Order isomorphism	en
dc.subject	Admissible order	en
dc.subject	Cantor’s bijection	en
dc.title	On admissible orders over closed subintervals of [0,1]	en
dc.type	info:eu-repo/semantics/article	en
dc.type	Artículo / Artikulua	es
dc.type.version	info:eu-repo/semantics/acceptedVersion	en
dc.type.version	Versión aceptada / Onetsi den bertsioa	es
dspace.entity.type	Publication
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