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https://open.uns.ac.rs/handle/123456789/7135
Title: | Representation of lattices by fuzzy weak congruence relations | Authors: | Šešelja B. Stepanov, Vanesa Tepavčević, Andreja |
Issue Date: | 1-Jan-2015 | Journal: | Fuzzy Sets and Systems | Abstract: | © 2014 Elsevier B.V. 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. | URI: | https://open.uns.ac.rs/handle/123456789/7135 | ISSN: | 01650114 | DOI: | 10.1016/j.fss.2014.05.009 |
Appears in Collections: | PMF Publikacije/Publications |
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