Induced ordered weighted averaging operators

We briefly describe the Ordered Weighted Averaging (OWA) operator and discu ss a methodology for learning the associated weighting vector from observat ional data. We then introduce a more general type of OWA operator called th e Induced Ordered Weighted Averaging (IOWA) Operator. These operators take as their argument pairs, called OWA pairs, in which one component is used t o induce an ordering over the second components which are then aggregated. A number of different aggregation situations have been shown to be represen table in this framework. We then show how this tool can be used to represen t different types of aggregation models.