Relaxed distributivity laws for semi-t-operators and disjunctive uninorms

Abstract

The conditional distributivity of aggregation operations, that is distributivity observed under additional condition imposed on the domain of aggregation operations, is an important property that is highly useful in various areas, such as the decision making theory and the integration theory. Therefore, the topic of this paper is this relaxed form of distributivity for continuous semi-t-operators with respect to disjunctive uninorms with continuous underlying t-norms and t-conorms.