• DocumentCode
    774716
  • Title

    Set-based Bayesianism

  • Author

    Kyburg, Henry E., Jr. ; Pittarelli, Michael

  • Author_Institution
    Dept. of Comput. Sci., Rochester Univ., NY, USA
  • Volume
    26
  • Issue
    3
  • fYear
    1996
  • fDate
    5/1/1996 12:00:00 AM
  • Firstpage
    324
  • Lastpage
    339
  • 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;
  • fLanguage
    English
  • Journal_Title
    Systems, Man and Cybernetics, Part A: Systems and Humans, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1083-4427
  • Type

    jour

  • DOI
    10.1109/3468.487958
  • Filename
    487958