Supermigrative semi-copulas and triangular norms

A semi-copula S:[0,1]²→[0,1] is called supermigrative if it is commutative and satisfies S(αx,y)?S(x,αy) for all α∈[0,1] and for all x,y∈[0,1] such that y?x. In this paper, the class of supermigrative semi-copulas is investigated, by focusing, in particular, on the subclass of continuous triangular norms. Some interesting connections with the theory of copulas are also underlined.