- Tytuł:
- Classification systems and their lattice
- Autorzy:
- Radeleczki, Sándor
- Powiązania:
- https://bibliotekanauki.pl/articles/729009.pdf
- Data publikacji:
- 2002
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
concept lattice
CJ-generated complete lattice
atomistic complete lattice
(independent) classification system
classification lattice
box lattice - Opis:
- We define and study classification systems in an arbitrary CJ-generated complete lattice L. Introducing a partial order among the classification systems of L, we obtain a complete lattice denoted by Cls(L). By using the elements of the classification systems, another lattice is also constructed: the box lattice B(L) of L. We show that B(L) is an atomistic complete lattice, moreover Cls(L)=Cls(B(L)). If B(L) is a pseudocomplemented lattice, then every classification system of L is independent and Cls(L) is a partition lattice.
- Źródło:
-
Discussiones Mathematicae - General Algebra and Applications; 2002, 22, 2; 167-181
1509-9415 - Pojawia się w:
- Discussiones Mathematicae - General Algebra and Applications
- Dostawca treści:
- Biblioteka Nauki
Artykuł