Distributivity between semi-uninorms and semi-t-operators

The problem of distributivity was posed many years ago and it has been investigated for families of certain operations, such as t-norms, t-conorms, uninorms, and nullnorms. In this study, we continue the investigation of this same topic by focusing on semi-uninorms and semi-t-operators, which are generalizations of uninorms and t-operators that are obtained by omitting commutativity and associativity, and commutativity, respectively. The results obtained provide the full characterizations, except for a special subcase, and we extend the previous results regarding distributivity between uninorms and nullnorms, as well as between semi-uninorms and semi-nullnorms. Moreover, we propose a more reasonable method for obtaining a proof to demonstrate the distributivity between semi-uninorms and semi-t-operators.