Convexity and level sets for interval-valued fuzzy sets

Huidobro, Pedro; Alonso, Pedro; Janiš, Vladimír; Montes, Susana

dc.title	Convexity and level sets for interval-valued fuzzy sets	en
dc.contributor.author	Huidobro, Pedro
dc.contributor.author	Alonso, Pedro
dc.contributor.author	Janiš, Vladimír
dc.contributor.author	Montes, Susana
dc.relation.ispartof	Fuzzy Optimization and Decision Making
dc.identifier.issn	1568-4539 Scopus Sources, Sherpa/RoMEO, JCR
dc.date.issued	2022
dc.type	article
dc.language.iso	en
dc.publisher	Springer
dc.identifier.doi	10.1007/s10700-021-09376-7
dc.relation.uri	https://link.springer.com/article/10.1007/s10700-021-09376-7
dc.subject	interval-valued fuzzy set	en
dc.subject	epistemic interpretation	en
dc.subject	intersection	en
dc.subject	level set	en
dc.subject	convexity	en
dc.subject	decision-making	en
dc.description.abstract	Convexity is a deeply studied concept since it is very useful in many fields of mathematics, like optimization. When we deal with imprecision, the convexity is required as well and some important applications can be found fuzzy optimization, in particular convexity of fuzzy sets. In this paper we have extended the notion of convexity for interval-valued fuzzy sets in order to be able to cover some wider area of imprecision. We show some of its interesting properties, and study the preservation under the intersection and the cutworthy property. Finally, we applied convexity to decision-making problems.	en
utb.faculty	Faculty of Applied Informatics
dc.identifier.uri	http://hdl.handle.net/10563/1010784
utb.identifier.obdid	43884058
utb.identifier.scopus	2-s2.0-85122655073
utb.identifier.wok	000740184300001
utb.source	J-wok
dc.date.accessioned	2022-01-17T09:54:17Z
dc.date.available	2022-01-17T09:54:17Z
dc.description.sponsorship	Slovak grant agency VEGAVedecka grantova agentura MSVVaS SR a SAV (VEGA) [1/0150/21]; Spanish Ministry of Science and TechnologySpanish Government [TIN-201787600-P, PGC2018-098623-B-I00]; FICYT [IDI/2018/000176]
dc.description.sponsorship	Ministerio de Ciencia y Tecnología, MICYT: PGC2018-098623-B-I00, TIN-2017-87600-P; Fundación para el Fomento en Asturias de la Investigación Científica Aplicada y la Tecnología, FICYT: IDI/2018/000176
dc.rights	Attribution 4.0 International
dc.rights.uri	https://creativecommons.org/licenses/by/4.0/
dc.rights.access	openAccess
utb.contributor.internalauthor	Janiš, Vladimír
utb.fulltext.affiliation	Pedro Huidobro1,3 http://orcid.org/0000-0002-0170-0426 · Pedro Alonso2 http://orcid.org/0000-0001-5222-4522 · Vladimír Janiš3,4 https://orcid.org/0000-0003-0790-7214 · Susana Montes1 http://orcid.org/0000-0002-4701-2207 1 Department of Statistics and Operational Research, University of Oviedo, Oviedo, Spain 2 Department of Mathematics, University of Oviedo, Oviedo, Spain 3 Department of Mathematics, Matej Bel University, Banská Bystrica, Slovakia 4 Faculty of Applied Informatics, Tomas Bata University in Zlín, Zlín, Czech Republic ✉ Susana Montes montes@uniovi.es Pedro Huidobro huidobropedro@uniovi.es Pedro Alonso palonso@uniovi.es Vladimír Janiš vladimir.janis@umb.sk 1 Department of Statistics and Operational Research, University of Oviedo, Oviedo, Spain 2 Department of Mathematics, University of Oviedo, Oviedo, Spain 3 Department of Mathematics, Matej Bel University, Banská Bystrica, Slovakia 4 Faculty of Applied Informatics, Tomas Bata University in Zlín, Zlín, Czech Republic
utb.fulltext.dates	Accepted: 3 November 2021 Published online: 07 January 2022
utb.fulltext.sponsorship	Authors would like to thank for the support of the Grant No. 1/0150/21 provided by Slovak grant agency VEGA (V. Janiš), Spanish Ministry of Science and Technology project TIN-2017-87600-P (P. Alonso), Spanish Ministry of Science and Technology project PGC2018-098623-B-I00 (P. Huidobro and S. Montes) and FICYT Project IDI/2018/000176 (P. Alonso, P. Huidobro and S. Montes).
utb.wos.affiliation	[Huidobro, Pedro; Montes, Susana] Univ Oviedo, Dept Stat & Operat Res, Oviedo, Spain; [Alonso, Pedro] Univ Oviedo, Dept Math, Oviedo, Spain; [Huidobro, Pedro; Janis, Vladimir] Matej Bel Univ, Dept Math, Banska Bystrica, Slovakia; [Janis, Vladimir] Tomas Bata Univ Zlin, Fac Appl Informat, Zlin, Czech Republic
utb.scopus.affiliation	Department of Statistics and Operational Research, University of Oviedo, Oviedo, Spain; Department of Mathematics, University of Oviedo, Oviedo, Spain; Department of Mathematics, Matej Bel University, Banská Bystrica, Slovakia; Faculty of Applied Informatics, Tomas Bata University in Zlín, Zlín, Czech Republic
utb.fulltext.projects	1/0150/21
utb.fulltext.projects	TIN-2017-87600-P
utb.fulltext.projects	PGC2018-098623-B-I0
utb.fulltext.projects	IDI/2018/000176
utb.fulltext.faculty	Faculty of Applied Informatics
utb.fulltext.ou	-