On distributivity of semi-t-operators over semi-nullnorms

The problem of distributivity for different classes of aggregation operators is a topic that is currently being investigated by a significant number of researchers. The main issue of this paper is the characterization of all pairs of aggregation operators (G, H) where G is a semi-t-operator which is left or right distributive over semi-nullnorm H. The presented results also contain some previous research concerning distributivity of semi-t-operators over semi-nullnorm as the special case.