Set-based Bayesianism

Set-based Bayesianism

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 requ...

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Veröffentlicht in:IEEE transactions on systems, man and cybernetics. Part A, Systems and humans man and cybernetics. Part A, Systems and humans, 1996-05, Vol.26 (3), p.324-339
Hauptverfasser: Kyburg, H.E., Pittarelli, M.
Format: Artikel
Sprache:eng
Schlagworte:
Artificial intelligence
Bayesian methods
Computer science
Decision making
Entropy
Interactive systems
Proposals
Uncertainty
Utility theory
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Zusammenfassung: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.
ISSN:1083-4427
1558-2426
DOI:10.1109/3468.487958