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Representation of lattices by fuzzy weak congruence relations
dc.creator | Seselja, Branimir | |
dc.creator | Stepanović, Vanja | |
dc.creator | Tepavcević, Andreja | |
dc.date.accessioned | 2020-12-17T21:18:49Z | |
dc.date.available | 2020-12-17T21:18:49Z | |
dc.date.issued | 2015 | |
dc.identifier.issn | 0165-0114 | |
dc.identifier.uri | http://aspace.agrif.bg.ac.rs/handle/123456789/3778 | |
dc.description.abstract | Fuzzy (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.publisher | Elsevier, Amsterdam | |
dc.relation | info:eu-repo/grantAgreement/MESTD/Basic Research (BR or ON)/174013/RS// | |
dc.relation | Provincial Secretariat for Science and Technological Development, Autonomous Province of Vojvodina | |
dc.rights | restrictedAccess | |
dc.source | Fuzzy Sets and Systems | |
dc.subject | Fuzzy relations | en |
dc.subject | Algebra | en |
dc.subject | Fuzzy algebra | en |
dc.subject | Fuzzy weak congruence | en |
dc.subject | Complete lattice | en |
dc.title | Representation of lattices by fuzzy weak congruence relations | en |
dc.type | article | |
dc.rights.license | ARR | |
dc.citation.epage | 109 | |
dc.citation.other | 260: 97-109 | |
dc.citation.rank | aM21 | |
dc.citation.spage | 97 | |
dc.citation.volume | 260 | |
dc.identifier.doi | 10.1016/j.fss.2014.05.009 | |
dc.identifier.scopus | 2-s2.0-84919463945 | |
dc.identifier.wos | 000345959500006 | |
dc.type.version | publishedVersion |