Minds and Machines 22 (4):325-351 (2012)
Probabilistic belief contraction has been a much neglected topic in the field of probabilistic reasoning. This is due to the difficulty in establishing a reasonable reversal of the effect of Bayesian conditionalization on a probabilistic distribution. We show that indifferent contraction, a solution proposed by Ramer to this problem through a judicious use of the principle of maximum entropy, is a probabilistic version of a full meet contraction. We then propose variations of indifferent contraction, using both the Shannon entropy measure as well as the Hartley entropy measure, with an aim to avoid excessive loss of beliefs that full meet contraction entails.
|Keywords||Probabilistic Belief Change Principle of Maximum Entropy Partial Meet Contraction|
|Categories||categorize this paper)|
References found in this work BETA
On the Logic of Theory Change: Partial Meet Contraction and Revision Functions.Carlos E. Alchourrón, Peter Gärdenfors & David Makinson - 1985 - Journal of Symbolic Logic 50 (2):510-530.
The Mathematical Theory of Communication.Claude E. Shannon & Warren Weaver - 1949 - University of Illinois Press.
Knowledge in Flux. Modelling the Dymanics of Epistemic States.P. Gärdenfors - 1988 - MIT Press.
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