A New Distance Measure Including the Weak Preference Relation: Application to the Multiple Criteria Aggregation Procedure for Mixed Evaluation

Abstract

In this paper we propose a new distance measure between two preorders where the indifference, strict preference, weak preference and incomparability relations are considered. This distance measure is then used in the aggregation stage of a multiple criteria aggregation procedure for mixed evaluations designed to deal with different kinds of information imperfections. Introducing the weak preference relation allows for more nuance and flexibility to the decision- maker in this context.