Set-based Bayesianism
Henry E. Kyburg, Michael Pittarelli · IEEE Transactions on Systems Man and Cybernetics - Part A Systems and Humans · 1996
Problems for strict and convex Bayesianism are discussed. A set-based Bayesianism generalizing convex Bayesianism and intervalism is proposed. This approach abandons not only the strict Bayesian requirement of a unique real-valued probability function in any decision-making context but also the requirement of convexity for a set-based representation of uncertainty. Levi's E-admissibility decision criterion is retained and is shown to be applicable in the nonconvex case.