Multicriteria Decision Making by Means of Interval-Valued Choquet Integrals

In this work we propose a new multicriteria decision making algorithm for interval-valued fuzzy preference relations based on the use on a appropriate definition of interval-valued Choquet integrals. This algorithm allows to recover some of the best known usual fuzzy algorithms when the considered intervals are reduced to a single point. Since a key point in every decision making problem is that of the ordering, we propose a method to build orders based on the use of aggregation functions that, on one hand, allows to define several different total orders and, on the other hand, recovers some of the most commonly used total orders between intervals.