Title :
Set-based Bayesianism
Author :
Kyburg, Henry E., Jr. ; Pittarelli, Michael
Author_Institution :
Dept. of Comput. Sci., Rochester Univ., NY, USA
fDate :
5/1/1996 12:00:00 AM
Abstract :
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
Keywords :
Bayes methods; decision theory; probability; set theory; uncertainty handling; E-admissibility decision criterion; convex Bayesianism; decision-making; intervalism; set-based Bayesianism; set-based uncertainty representation; strict Bayesianism; Artificial intelligence; Bayesian methods; Computer science; Decision making; Entropy; Helium; Interactive systems; Proposals; Uncertainty; Utility theory;
Journal_Title :
Systems, Man and Cybernetics, Part A: Systems and Humans, IEEE Transactions on
DOI :
10.1109/3468.487958
