Durham University

Department of Mathematical Sciences


Publication details for Matthias Troffaes

Troffaes, Matthias C.M. (2007). Decision making under uncertainty using imprecise probabilities. International Journal of Approximate Reasoning 45(1): 17-29.

Author(s) from Durham


Various ways for decision making with imprecise probabilities—admissibility, maximal expected utility, maximality, E-admissibility, Gamma-maximax, Gamma-maximin, all of which are well known from the literature—are discussed and compared. We generalise a well-known sufficient condition for existence of optimal decisions. A simple numerical example shows how these criteria can work in practice, and demonstrates their differences. Finally, we suggest an efficient approach to calculate optimal decisions under these decision criteria.