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Associative Functions: Triangular Norms And Copulas

Language EnglishEnglish
Book Hardback
Book Associative Functions: Triangular Norms And Copulas Claudi Alsina
Libristo code: 05068254
Publishers World Scientific Publishing Co Pte Ltd, February 2006
The functional equation of associativity is the topic of Abel's first contribution to Crelle's Journ... Full description
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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 has been evolving at an ever-increasing pace and the results have been applied in fields such as statistics, information theory, fuzzy set theory, multi-valued and quantum logic, hydrology, and economics, in particular, risk analysis. This book presents the foundations of the subject of associative functions on real intervals. It brings togethe

About the book

Full name Associative Functions: Triangular Norms And Copulas
Language English
Binding Book - Hardback
Date of issue 2006
Number of pages 252
EAN 9789812566713
ISBN 9812566716
Libristo code 05068254
Weight 564
Dimensions 164 x 233 x 21
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