An important part of the ADRIA Decision Team’s work is concerned with proposing formal rules for decision under uncertainty, multi-criteria decision and collective decision making and providing axiomatic foundations for them. However, in a practical world, the proposal and characterization of a decision criterion is not enough. First, because knowledge about the state of the world, like preferences, can rarely be expressed globally and explicitly, but relates to certain state variables or certain decision variables only.

Deciding often means posing and then solving a combinatorial optimization problem. Secondly, because the user is not always ready to express his preferences, even with the help of appropriate language, and does not want us to decide for him, he wants us to help him to estimate the state of his stocks, to project the earliest possible date for the end of his project, to identify the hazards that may endanger the occupancy plan of his resource. This is more about managing risk or simulating choices than making a decision.

The entire work of the ADRIA team related to the problem of decision-making, in the broad sense, is structured around several axes: