Multiple Criteria Hierarchy Process for the Choquet Integral

Abstract

Interaction between criteria and hierarchical structure of criteria are nowadays two important issues in Multiple Criteria Decision Analysis (MCDA). Interaction between criteria is often dealt with fuzzy integrals, especially the Choquet integral. To handle the hierarchy of criteria in MCDA, a methodology called Multiple Criteria Hierarchy Process (MCHP) has been recently proposed. It permits consideration of preference relations with respect to a subset of criteria at any level of the hierarchy. In this paper, we propose to apply MCHP to the Choquet integral. In this way, using the Choquet integral and the MCHP, it is possible to compare two alternatives not only globally, but also partially, taking into account a particular subset of criteria and the possible interaction between them.