Priority Elicitation in the AHP by a Pareto Envelope-Based Selection Algorithm

This paper is concerned with the problem of deriving priorities (criteria weights and scores of alternatives) from pairwise comparison judgments, in the framework of the Analytical Hierarchy Process. The elicitation of priorities is represented as a multi-criteria optimization problem and the multiobjective evolutionary algorithm PESA-II is applied for its solving. The method and the performance of the evolutionary algorithm are illustrated by an example, and the results are compared to those obtained by other algorithms.