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Conditional and Comparative Probabilities in Artificial Intelligence

In: Mathematical Models for Handling Partial Knowledge in Artificial Intelligence

Author

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  • Paolo Vicig

    (Università di Trieste, Dipartimento di Matematica Applicata ‘B. de Finetti’)

Abstract

Some features of the connection between comparative and quantitative probabilities are examined in the context of a probabilistic approach to Artificial Intelligence. Coherent conditional probabilities are used: this makes it possible to work with sets of events which are not necessarily ‘structured’, but which arise in a natural way from the real problems being examined. Starting from some known relations comparing events by means of conditional probabilities, a more refined relation is introduced, which is a comparative probability. An application to realization problems is proposed in the final part.

Suggested Citation

  • Paolo Vicig, 1995. "Conditional and Comparative Probabilities in Artificial Intelligence," Springer Books, in: Giulianella Coletti & Didier Dubois & Romano Scozzafava (ed.), Mathematical Models for Handling Partial Knowledge in Artificial Intelligence, pages 271-280, Springer.
  • Handle: RePEc:spr:sprchp:978-1-4899-1424-8_19
    DOI: 10.1007/978-1-4899-1424-8_19
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