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NMR
2004
Springer

Preliminary considerations on the modelling of belief change operators by metric spaces

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Preliminary considerations on the modelling of belief change operators by metric spaces
In this paper, a possible worlds framework for representing general belief change operators is presented. In common with many approaches, an agent’s set of beliefs are specified by a subset of the set of possible worlds. The central intuition is that there is a distance given between every pair of possible worlds, giving the similarity of one world to another; the set of worlds together with this distance form a metric space. An operator such as revision is defined as expected: in revising by proposition A, the revised belief state is characterised by those worlds closest to the worlds characterising the agent’s original beliefs in which A is true. We propose that a suitable fundamental change operator is one where an agent’s beliefs are decreased as a result of the agent becoming more skeptical to a specified degree. This approach is compared and contrasted with the central quantitative framework for belief change, that due to Spohn.
James P. Delgrande
Added 02 Jul 2010
Updated 02 Jul 2010
Type Conference
Year 2004
Where NMR
Authors James P. Delgrande
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