 The family is strictly increasing and continuous with respect to "p".An additive generator of formula_35 for 0 < "p" < +∞ [sic] is

The ordinal sum constructs a t-norm from a family of t-norms, by shrinking them into disjoint subintervals of the interval [0, 1] and completing the t-norm by using the minimum on the rest of the unit square.It is based on the following theorem