Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The intersection probability: betting with probability intervals   Probability intervals are an attractive tool for reasoning under uncertainty.
Unlike belief functions, though, they lack a natural probability transformation
to be used for decision making in a utility theory framework. In this paper we
propose the use of the intersection probability, a transform derived originally
for belief functions in the framework of the geometric approach to uncertainty,
as the most natural such transformation. We recall its rationale and
definition, compare it with other candidate representives of systems of
probability intervals, discuss its credal rationale as focus of a pair of
simplices in the probability simplex, and outline a possible decision making
framework for probability intervals, analogous to the Transferable Belief Model
for belief functions.

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The categories of this paper are: hep-lat
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: eess
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The categories of this paper are: plasm-ph
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The categories of this paper are: physics
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: gr-qc
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The categories of this paper are: q-bio
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The categories of this paper are: supr-con
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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org