Associative Functions: Triangular Norms and Copulas
The functional equation of associativity is the topic of Abel's first contribution to Crelle's Journal. Seventy years later, it was featured as the second part of Hilbert's Fifth Problem, and it was solved under successively weaker hypotheses by Brouwer (1909), Cartan (1930) and Aczel (1949). In 1958, B Schweizer and A Sklar showed that the triangular norms introduced by Menger in his definition of a probabilistic metric space should be associative; and in their book Probabilistic Metric Spaces, they presented the basic properties of such triangular norms and the closely related copulas. Since then, the study of these two classes of functions…
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Produktdetails
Weitere Autoren: Maurice, Frank / Schweizer, Berthold
- ISBN: 978-981-256-671-3
- EAN: 9789812566713
- Produktnummer: 2251896
- Verlag: World Scientific Pub Co Inc
- Sprache: Englisch
- Erscheinungsjahr: 2006
- Seitenangabe: 237 S.
- Masse: H23.2 cm x B15.8 cm x D2.3 cm 570 g
- Gewicht: 570
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