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Probabilistic consistency of conditional probability bounds

  • Probabilistic, Statistical and Informational Methods
  • Conference paper
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Advances in Intelligent Computing — IPMU '94 (IPMU 1994)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 945))

Abstract

In this paper, given an arbitrary finite family of conditional events F, a generalized probabilistic knowledge base represented by a set of conditional probability bounds defined on F is considered. Following the approach of de Finetti we define the concept of coherence for the given set of bounds. Then, some results on the probabilistic consistency of the knowledge base are obtained. Finally, an algorithm to check the coherence of the set of bounds is described and some examples are examined.

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Authors and Affiliations

  1. Dipartimento di Matematica, Cittá Universitaria, Viale A. Doria, 6, 95125, Catania, Italy

    Angelo Gilio

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  1. Angelo Gilio
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Editor information

Bernadette Bouchon-Meunier Ronald R. Yager Lotfi A. Zadeh

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© 1995 Springer-Verlag Berlin Heidelberg

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Gilio, A. (1995). Probabilistic consistency of conditional probability bounds. In: Bouchon-Meunier, B., Yager, R.R., Zadeh, L.A. (eds) Advances in Intelligent Computing — IPMU '94. IPMU 1994. Lecture Notes in Computer Science, vol 945. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0035951

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  • DOI: https://doi.org/10.1007/BFb0035951

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60116-6

  • Online ISBN: 978-3-540-49443-0

  • eBook Packages: Springer Book Archive

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