Prioritized aggregation operators

We consider criteria aggregation problems where there exists a prioritization relationship over the criteria. We suggest that prioritization between criteria can be modeled by making the weights associated with a criteria dependent upon the satisfaction of the higher priority criteria. We consider a number of aggregation operators in which there exists a prioritization relationship between the arguments. We first introduce a prioritized scoring operator and a closely related prioritized averaging operator. We next introduce a prioritized “anding” and then a prioritized “oring” operator.