Arbeitspapier
A Theory of Qualitative Similarity
The central result of this paper establishes an isomorphism between two types of mathematical structures: ""ternary preorders"" and ""convex topologies."" The former are characterized by reflexivity, symmetry and transitivity conditions, and can be interpreted geometrically as ordered betweenness relations; the latter are defined as intersection-closed families of sets satisfying an ""abstract convexity"" property. A large range of examples is given. As corollaries of the main result we obtain a version of Birkhoff''s representation theorem for finite distributive lattices, and a qualitative version of the representation of ultrametric distances by indexed taxonomic hierarchies.
- Sprache
-
Englisch
- Erschienen in
-
Series: Working Paper ; No. 97-10
- Klassifikation
-
Wirtschaft
- Ereignis
-
Geistige Schöpfung
- (wer)
-
Nehring, Klaus
Hanson, Gordon H.
Llavador, Humberto G.
- Ereignis
-
Veröffentlichung
- (wer)
-
University of California, Department of Economics
- (wo)
-
Davis, CA
- (wann)
-
1997
- Handle
- Letzte Aktualisierung
-
15.04.2025, 07:37 MESZ
Datenpartner
Dieses Objekt wird bereitgestellt von:
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Objekttyp
- Arbeitspapier
Beteiligte
- Nehring, Klaus
- Hanson, Gordon H.
- Llavador, Humberto G.
- University of California, Department of Economics
Entstanden
- 1997
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