Multiobjective prioritization in the analytic hierarchy process by evolutionary computing

Abstract

This paper is concerned with the decision making problem of deriving weights from pairwise comparison judgments, in the framework of the Analytic Hierarchy Process. A new multi-criteria prioritization approach is proposed, minimizing the Euclidean norm and the Number of rank violations. The proposed method is implemented in a system for multiobjective prioritization and decision-making, based on evolutionary computing. The method and the system's performance are illustrated by an example, and the results are compared to those, obtained by a gradient search optimization algorithm.