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dc.contributor.authorJaniš, Vladimíren
dc.contributor.authorMontes, Susanaen
dc.contributor.authorŠešelja, Branimiren
dc.contributor.authorTepavčević, Andrejaen
dc.date.accessioned2020-04-12T18:10:37Z-
dc.date.available2020-04-12T18:10:37Z-
dc.date.issued2015-01-01en
dc.identifier.issn0023-5954en
dc.identifier.urihttp://researchrepository.mi.sanu.ac.rs/handle/123456789/378-
dc.description.abstractIn decision processes some objects may not be comparable with respect to a preference relation, especially if several criteria are considered. To provide a model for such cases a poset valued preference relation is introduced as a fuzzy relation on a set of alternatives with membership values in a partially ordered set. We analyze its properties and prove the representation theorem in terms of particular order reversing involution on the co-domain poset. We prove that for every set of alternatives there is a poset valued preference whose cut relations are all relations on this domain. We also deal with particular transitivity of such preferences.en
dc.publisherAcademy of Sciences of the Czech Republic, Institute of Information Theory and Automation-
dc.relationProject MTM2010-17844 of the Spanish Ministry of Scienceand Innovation-
dc.relationGrant 1/0297/11 provided by Slovak grant agency VEGA-
dc.relationDevelopment of methods of computation and information processing: theory and applications-
dc.relation.ispartofKybernetikaen
dc.subjectOrder reversing involutions | Poset | Relation | Transitivity | Weakly orthogonal poseten
dc.titlePoset-valued preference relationsen
dc.typeArticleen
dc.identifier.doi10.14736/kyb-2015-5-0747en
dc.identifier.scopus2-s2.0-84951171082en
dc.relation.firstpage747en
dc.relation.lastpage764en
dc.relation.issue5en
dc.relation.volume51en
dc.description.rankM23-
item.cerifentitytypePublications-
item.openairetypeArticle-
item.grantfulltextnone-
item.fulltextNo Fulltext-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
crisitem.project.funderMESTD-
crisitem.project.fundingProgramBasic Research (BR or ON)-
crisitem.project.openAireinfo:eu-repo/grantAgreement/MESTD/Basic Research (BR or ON)/174013-
crisitem.author.orcid0000-0002-5716-604X-
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