  This paper addresses decision-aiding problems that involve multiple
objectives and uncertain states of the world. Inspired by the capability
approach, we focus on cases where a policy maker chooses an act that, combined
with a state of the world, leads to a set of choices for citizens. While no
preferential information is available to construct importance parameters for
the criteria, we can obtain likelihoods for the different states. To
effectively support decision-aiding in this context, we propose two procedures
that merge the potential set of choices for each state of the world taking into
account their respective likelihoods. Our procedures satisfy several
fundamental and desirable properties that characterize the outcomes.
