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

Distributivity between extended nullnorms and uninorms on fuzzy truth values