On Distributivity Between Aggregation Operators with Annihilator and Mayor’s Aggregation Operators

Abstract

The issue of distributivity for different classes of aggregation
operators is a topic that is being currently investigated by a
number of researchers. The focus of this paper is on
characterization of pairs of aggregation operators that are
satisfying distributivity law where one of them is a commutative,
associative aggregation operator with annihilator and the other one
is a Mayor's aggregation operators. The results presented here
extent and upgrade some known research, e.g., results concerning
distributivity between semi-uninorms and Mayor's aggregation
operators.