Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: How to assess coherent beliefs: A comparison of different notions of
  coherence in Dempster-Shafer theory of evidence   Stemming from de Finetti's work on finitely additive coherent probabilities,
the paradigm of coherence has been applied to many uncertainty calculi in order
to remove structural restrictions on the domain of the assessment. Three
possible approaches to coherence are available: coherence as a consistency
notion, coherence as fair betting scheme, and coherence in terms of penalty
criterion. Due to its intimate connection with (finitely additive) probability
theory, Dempster-Shafer theory allows notions of coherence in all the forms
recalled above, presenting evident similarities with probability theory. In
this chapter we present a systematic study of such coherence notions showing
their equivalence.

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The categories of this paper are: astro-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: nlin
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The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
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The categories of this paper are: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: stat
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The categories of this paper are: hep-th