Distributivity between semi-t-operators and Mayor’s aggregation operators

The problem of distributivity was first posed over forty years ago and it has been investigated for families of certain operations such as t-norms, t-conorms, uninorms, and nullnorms. In this paper, we investigate this topic further by focusing on Mayor’s aggregation operators and semi-t-operators, which generalize the t-operators by omitting commutativity. The results that we obtain are complete and extend previous results concerning distributivity between Mayor’s aggregation operators and semi-nullnorms.