Associative Functions: Triangular Norms And Copulas

By C. Alsina, M. J. Frank, B. Schweizer. 2006

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OPERATIONS BETWEEN SETS IN GEOMETRY (2012, background): “A full discussion would take us too far afield; we refer the reader to the books [2] and [3] on functional equations and [5] and [25] on triangular norms and copulas.”
Aggregation Functions: A Guide for Practitioners (2007, methodology): “, [6, 221]) are the following: • P, Prod,Π and P ∗, P rod∗,Π∗ for the product and the dual product.”
Ordinal sums and idempotents of copulas (2010, background): “An n-box in [0, 1] is a cartesian product”
”Aggregation Functions”, Cambridge University Press (2008, background): “…as characterizations of various families of aggregation functions), and many connections have been done with either related fields or former works (such as triangular norms in probabilistic metric spaces, theory of means and averages, etc.), see [1], [2], [3], [4], [5], [6], [7], [8], [9], [10].”
A Universal Integral as Common Frame for Choquet and Sugeno Integral (2010, background): “If, moreover, the pseudomultiplication ⊗ : [0, 1]2 → [0, 1] is associative and commutative, then it is called a triangular norm (t-norm for short, see [43], [57] as well as [1], [34], [58]).”