Representation of lattices by fuzzy weak congruence relations
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2015
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Metapodaci
Prikaz svih podataka o dokumentuApstrakt
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.
Ključne reči:
Fuzzy relations / Algebra / Fuzzy algebra / Fuzzy weak congruence / Complete latticeIzvor:
Fuzzy Sets and Systems, 2015, 260, 97-109Izdavač:
- Elsevier, Amsterdam
Finansiranje / projekti:
- Razvoj metoda izračunavanja i procesiranja informacija: teorija i primene (RS-174013)
- Provincial Secretariat for Science and Technological Development, Autonomous Province of Vojvodina
DOI: 10.1016/j.fss.2014.05.009
ISSN: 0165-0114
WoS: 000345959500006
Scopus: 2-s2.0-84919463945
Institucija/grupa
Poljoprivredni fakultetTY - JOUR AU - Seselja, Branimir AU - Stepanović, Vanja AU - Tepavcević, Andreja PY - 2015 UR - http://aspace.agrif.bg.ac.rs/handle/123456789/3778 AB - 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. PB - Elsevier, Amsterdam T2 - Fuzzy Sets and Systems T1 - Representation of lattices by fuzzy weak congruence relations EP - 109 SP - 97 VL - 260 DO - 10.1016/j.fss.2014.05.009 ER -
@article{ author = "Seselja, Branimir and Stepanović, Vanja and Tepavcević, Andreja", year = "2015", 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.", publisher = "Elsevier, Amsterdam", journal = "Fuzzy Sets and Systems", title = "Representation of lattices by fuzzy weak congruence relations", pages = "109-97", volume = "260", doi = "10.1016/j.fss.2014.05.009" }
Seselja, B., Stepanović, V.,& Tepavcević, A.. (2015). Representation of lattices by fuzzy weak congruence relations. in Fuzzy Sets and Systems Elsevier, Amsterdam., 260, 97-109. https://doi.org/10.1016/j.fss.2014.05.009
Seselja B, Stepanović V, Tepavcević A. Representation of lattices by fuzzy weak congruence relations. in Fuzzy Sets and Systems. 2015;260:97-109. doi:10.1016/j.fss.2014.05.009 .
Seselja, Branimir, Stepanović, Vanja, Tepavcević, Andreja, "Representation of lattices by fuzzy weak congruence relations" in Fuzzy Sets and Systems, 260 (2015):97-109, https://doi.org/10.1016/j.fss.2014.05.009 . .