Robust decisions : bridging the quantitative-qualitative gap

When it comes to model uncertainty and make robust decision in the form of partial, set-valued recommendations, one can find a large literature on the topic for quantitative models but much less for qualitative models. This paper intends to partially solve this issue by taking notions from the quantitative world and transfer them to the qualitative one. In particular, we consider the transfer of decision rules based on lower probabilities and Choquet integral to decision rules based on fuzzy measures and Sugeno integral.