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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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Alsina, Claudi
Otros Autores: Schweizer, B. (Berthold), Frank, Maurice J.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Singapore ; Hackensack, NJ : World Scientific, ©2006.
Temas:
Acceso en línea:Texto completo
Descripción
Sumario: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. Si.
Descripción Física:1 online resource (xiv, 237 pages) : illustrations
Bibliografía:Includes bibliographical references (pages 223-234) and index.
ISBN:9812566716
9789812566713
9789812774200
9812774203
1281919349
9781281919342
9786611919344
6611919341