Decision making under Dempster-Shafer uncertainties

Abstract

We are concerned here with the problem of selecting an optimal alternative in situations in which there exists some uncertainty in our knowledge of the state of the world. We show how the Dempster-Shafer belief structure provides a unifying framework for representing various types of uncertainties. We also show how the OWA aggregation operators provide a unifying framework for decision making under ignorance. In particular we see how these operators provide a formulation of a type epistemic probabilities associated with our degree of optimism. © 2008 Springer-Verlag Berlin Heidelberg.