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Application of linear utility theory to belief functions

  • Evidence Combination
  • Conference paper
  • First Online:
Uncertainty and Intelligent Systems (IPMU 1988)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 313))

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References

  1. M. Cohen and J.Y. Jaffray, "Approximations of rational criteria under complete ignorance and the independence axiom", Theory and Decision, 15, 121–150 (1983).

    Google Scholar 

  2. A. Chateauneuf and J.Y. Jaffray, "Some characterizations of lower probabilities and other monotone capacities", unpublished manuscript (1986).

    Google Scholar 

  3. A.P. Dempster, "Upper and lower probabilities induced by a multivalued mapping", Annals of Mathematical Statistics, 38, 325–339 (1967).

    Google Scholar 

  4. D. Ellsberg, "Risk, ambiguity and the Savage axioms", Quarterly Journal of Economics, 75, 643–669 (1961).

    Google Scholar 

  5. P.C. Fishburn, The foundations of expected utility, D. Reidel Publishing Company, Dordrecht, 1982.

    Google Scholar 

  6. I.N. Herstein and J. Milnor, "An axiomatic approach to measurable utility", Econometrica, 21, 291–297 (1953).

    Google Scholar 

  7. L. Hurwicz, "Optimality criteria for decision making under ignorance", Cowles Commission discussion paper, Statistics # 370 (1951) (mimeographed).

    Google Scholar 

  8. N.E. Jensen, "An introduction to Bernoullian utility theory. I: utility functions", Swedish Journal of Economics, 69, 163–183 (1967).

    Google Scholar 

  9. G. Shafer, A mathematical theory of evidence, Princeton University Press, Princeton, 1976.

    Google Scholar 

  10. G. Shafer, Constructive probability, Synthese, 48, 1–60 (1981).

    Google Scholar 

  11. J. von Neumann and O. Morgenstern, Theory of Games and Economic Behavior, Princeton University Press, Princeton (1944).

    Google Scholar 

  12. A. Wald, Statistical Decision Functions, Wiley, New-York, 1950.

    Google Scholar 

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Author information

Authors and Affiliations

  1. Université P. & M. Curie (Paris 6), 4, Place Jussieu, 75005, Paris, France

    Jean-Yves Jaffray

Authors
  1. Jean-Yves Jaffray
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Editor information

B. Bouchon L. Saitta R. R. Yager

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© 1988 Springer-Verlag Berlin Heidelberg

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Jaffray, JY. (1988). Application of linear utility theory to belief functions. In: Bouchon, B., Saitta, L., Yager, R.R. (eds) Uncertainty and Intelligent Systems. IPMU 1988. Lecture Notes in Computer Science, vol 313. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-19402-9_49

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  • DOI: https://doi.org/10.1007/3-540-19402-9_49

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19402-6

  • Online ISBN: 978-3-540-39255-2

  • eBook Packages: Springer Book Archive

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