DC FieldValueLanguage
dc.contributor.authorŠešelja, Branimiren
dc.contributor.authorStepanović, Vanjaen
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.issn0165-0114en
dc.identifier.urihttp://researchrepository.mi.sanu.ac.rs/handle/123456789/377-
dc.description.abstractFuzzy (lattice valued) weak congruences of abstract algebras are investigated. For an algebra, the family of all such fuzzy relations is a complete lattice; its structure and cut properties are investigated and fully described. These fuzzy weak congruences are applied in representation of complete and algebraic lattices. A wider class of lattices can be represented in such a fuzzy framework, than in classical algebra. We prove that there is a straightforward representation of any complete lattice, using it as a co-domain. In a more general case, it is proved that several subdirect powers of lattices are also representable by fuzzy weak congruences.en
dc.publisherElsevier-
dc.relationDevelopment of methods of computation and information processing: theory and applications-
dc.relationProvincial Secretariat for Science and Technological Development, Autonomous Province of Vojvodina, Grant “Ordered structures and applications”-
dc.relation.ispartofFuzzy Sets and Systemsen
dc.subjectAlgebra | Complete lattice | Fuzzy algebra | Fuzzy relations | Fuzzy weak congruenceen
dc.titleRepresentation of lattices by fuzzy weak congruence relationsen
dc.typeArticleen
dc.identifier.doi10.1016/j.fss.2014.05.009en
dc.identifier.scopus2-s2.0-84919463945en
dc.relation.firstpage97en
dc.relation.lastpage109en
dc.relation.volume260en
dc.description.rankM21a-
item.openairetypeArticle-
item.cerifentitytypePublications-
item.fulltextNo Fulltext-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.grantfulltextnone-
crisitem.author.orcid0000-0002-5716-604X-
crisitem.project.funderMESTD-
crisitem.project.fundingProgramBasic Research (BR or ON)-
crisitem.project.openAireinfo:eu-repo/grantAgreement/MESTD/Basic Research (BR or ON)/174013-
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