Necessary Conditions and Sufficient Conditions for Pareto Optimality in a Multicriterion Perturbed System

In addition to the complexity due to multiple goals, the decisionmaker is often faced with perturbations or uncertainties which influence the consequences of his actions. These disturbances, if their probability distribution cannot be assessed can be modelled as set-constrained perturbations following the lines given in Refs [7] [9]. This description is quite fitting if the perturbations are caused by the existence of other decision makers or players which can affect the consequence of the decision of a coalition of players[10].