This paper concerns some aspects of uncertainty evaluations in multi-criteria decision-making (MCDM) in the framework of e-commerce website recommendation. The emphasis is on the interest of handling uncertainty with possibility distributions in a MCDM process where evaluations coming from users present variability. Thus, we consider the propagation of possibility distributions through the multi-criteria aggregation made by a Choquet integral that enables to take the interactions between the decision-making criteria into account. To support the recommendation process, location and uncertainty indicators of possibility distributions are defined as well as their marginal contributions to the aggregated result. The proposed approach is applied here to the problem of the choice of an e-commerce website for purchase purposes but it can also be used for dealing with uncertainty in other complex problems.