A characterization of a class of border continuous triangular conorms

Let T^*:[0,1]²→[0,1] be a continuous, non-decreasing and associative function with neutral element, f: [0,1]→ [0,1] be a strictly monotone function and f⁽⁻¹⁾:[0,1]→[0,1] be the pseudo-inverse of f. This article characterizes the function T: [0,1]² → [0,1] defined by T(x,y)=f⁽⁻¹⁾(T^*(f(x),f(y))) when it is a border continuous triangular conorm.