The species-based approach currently implemented in Europe where catch limits (TAC) are set for each stock independently, is not adapted to the management of mixed fisheries that harvest various species. The economic efficiency of those fisheries is often constrained by the existence of « choke species » for which catch quotas are reached before the ones of more valuable species. Conflicting TAC limits can also have ecological consequences as fishers are encouraged to discard the less valuable and constraining catches, thus inducing additionnal mortality on already vulnerable stocks. Finally, setting catch limits without accounting for the technical interactions that can exist among the different fleets of a fishery can have important social implications if some fleets are more severely impacted by the management measures implemented. A more integrated evaluation of regulation measures that would assess their ecological, economic and social impacts is therefore needed for a satisfactory management of such complex fisheries. Viability theory is an interesting framework to address such multi-criteria evaluation and has successfully been applied to single species, input-based marine fisheries management. We propose to use this approach in an operationnal context to explore the possibility of setting TAC limits on individual stocks that could reconcile ecological, economic and social objectives for the Bay of Biscay mixed fishery. The bio-economic modelling plateform IAM (Impact Assessment Model for fisheries management) enabled both the representation of the multi-species and multi-fleet interactions at the heart of the studied fishery and the inclusion of uncertainty on specific biological and economic parameters.