  This paper mainly investigates the distributive laws between extended
nullnorms and uninorms on fuzzy truth values under the condition that the
nullnorm is conditionally distributive over the uninorm. It presents the
distributive laws between the extended nullnorm and t-conorm, and the left and
right distributive laws between the extended generalization nullnorm and
uninorm, where a generalization nullnorm is an operator from the class of
aggregation operators with absorbing element that generalizes a nullnorm.
