Solving Multi-criteria Decision Problems under Possibilistic Uncertainty Using Optimistic and Pessimistic Utilities

Abstract

This paper proposes a qualitative approach to solve multi-criteria decision making problems under possibilistic uncertainty. Depending on the decision maker attitude with respect to uncertainty (i.e. optimistic or pessimistic) and on her attitude with respect to criteria (i.e. conjunctive or disjunctive), four ex-ante and four ex-post decision rules are defined and investigated. In particular, their coherence w.r.t. the principle of monotonicity, that allows Dynamic Programming is studied. © Springer International Publishing Switzerland 2014.