Lexicographically Prioritized Multi-criteria Decisions Using Scoring Function

Ronald R. Yager

We consider multi-criteria decision problems where there is a lexicographically induced prioritization relationship over the criteria. We suggest that the prioritization between criteria can be modeled by making the weights associated with a criteria dependent upon the satisfaction of the higher priority criteria. We implement this using a prioritized scoring operator. We show how the lack of satisfaction to higher order criteria block the possibility of compensation by lower priority criteria. We show that in the special case where the prioritization relationship among the criteria satisfies a linear ordering we can use a prioritized averaging operator.

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