We introduce a bipolarly extended veto principle – a positive, as well as negative, large performance differences polarization – which allows us to extend the definition of the classical outranking relation in such a way that the identity between its asymmetric part and its codual relation is preserved.

In this paper, we enriched Ant Colony Optimization (ACO) with interval outranking to develop a novel multi-objective ACO optimizer approach problems many objective functions. This proposal is suitable if the preferences of Decision Maker (DM) can be modeled through relations. The introduced algorithm (Interval Outranking-based ACO, IO-ACO) first ant-colony that embeds an model bear vagueness an...

In this article we develop an indirect approach for assessing criteria significance weights from the robustness of the significance that a decision maker acknowledges for his pairwise outranking statements in a Multiple Criteria Decision Aiding process. The main result consists in showing that with the help of a mixed integer linear programming model this kind of a priori knowledge is sufficien...