 The family is strictly decreasing and continuous with respect to "p".An additive generator for formula_16 is

The family of "Yager t-norms", introduced in the early 1980s by Ronald R. Yager, is given for 0 ≤ "p" ≤ +∞ by

The Yager t-norm formula_20 is nilpotent if and only if 0 < "p" < +∞ (for "p" = 1 it is the Łukasiewicz t-norm).The family is strictly increasing and continuous with respect to "p".