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Decision-making with Belief Functions and pignistic probabilities

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 747))

Abstract

The paper discusses the different approaches to decision-making using Belief Functions. In particular, I describe Philippe Smets' method of decisionmaking, which transforms a Belief Function into a single probability function, the pignistic probability function. This transformation is sensitive to the choice of frame of discernment, which is often, to a large extent, arbitrary. It thus seems natural to consider all refinements of a frame of discernment and their associated pignistic probability functions and decisions. The main result of the paper is that this is equivalent to the standard approach.

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Michael Clarke Rudolf Kruse Serafín Moral

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© 1993 Springer-Verlag Berlin Heidelberg

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Wilson, N. (1993). Decision-making with Belief Functions and pignistic probabilities. In: Clarke, M., Kruse, R., Moral, S. (eds) Symbolic and Quantitative Approaches to Reasoning and Uncertainty. ECSQARU 1993. Lecture Notes in Computer Science, vol 747. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0028222

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  • DOI: https://doi.org/10.1007/BFb0028222

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-57395-1

  • Online ISBN: 978-3-540-48130-0

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