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...
Clasificación: | Libro Electrónico |
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Autor principal: | |
Otros Autores: | , |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Singapore ; Hackensack, NJ :
World Scientific,
©2006.
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Temas: | |
Acceso en línea: | Texto completo |
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. |
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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 |