 The Yager t-norm formula_20 for 0 < "p" < +∞ arises from the Łukasiewicz t-norm by raising its additive generator to the power of "p".An additive generator of formula_20 for 0 < "p" < +∞ is

The family of "Aczél–Alsina t-norms", introduced in the early 1980s by János Aczél and Claudi Alsina, is given for 0 ≤ "p" ≤ +∞ by

The Aczél–Alsina t-norm formula_25 is strict if and only if 0 < "p" < +∞ (for "p" = 1 it is the product t-norm).The family is strictly increasing and continuous with respect to "p".