Associative Functions: Triangular Norms And Copulas
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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 definit...
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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 definit...
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