Applications and Extensions of OWA Aggregations

Abstract We discuss the idea of ordered weighting averaging (OWA) operators. These operators provide a family of aggregation operators lying between the “and” and the “or”. We introduce two possible semantics associated with the OWA operator, the first being a kind of generalized logical connective and the second being a new type of probabilistic expected value. We suggest some applications of these operators. Among the applications we discuss are those involving multicriteria decision making under uncertainty and search procedures in games. We provide for a formulation of OWA operators that can be used in environments in which the underlying scale is simply an ordinal one.