Min-max and min-max regret criteria are commonly used to define robust solutions. After motivating the use of these criteria, we present general results. Then, we survey complexity results for the min-max and min-max regret versions of some combinatorial optimization problems: shortest path,...

This paper deals with preference modeling. It concerns the concepts of discriminating thresholds as a tool to cope with the imperfect nature of knowledge in decision aiding. Such imperfect knowledge is related with the definition of each criterion as well as with the data we have to take into...

The interface in acoustically driven layered liquids, in an enclosed geometry, was found to be unstable at a critical value of the axial streaming velocity. Above this critical value, which depends on the system parameters, tiny, uncorrelated ripples were generated. Then, beyond a second, larger...

This paper presents Electre Tri-nC, a new sorting method which takes into account several reference actions for characterizing each category. This new method gives a particular freedom to the decision maker in the co-construction decision aiding process with the analyst to characterize the set...

In this paper, a new sorting method, following a decision aiding constructive approach, is proposed. This method is called Electre Tri-C. As a sorting method, a set of categories must be defined to represent the way in which the actions that are going to be assigned to each of them should...

This paper proposes new concepts and new results which could lead to a more realistic preference modeling than in classical decision theory. Sections 1--3 present four fundamental situations of preferences, their combinations and the concept of relational system of preferences. In §4, a...