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Information Theory for Subjective Logic

  • Conference paper
  • First Online:
Modeling Decisions for Artificial Intelligence (MDAI 2015)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 9321))

Abstract

Uncertainty plays an important role in decision making. People try to avoid risks introduced by uncertainty. Probability theory can model these risks, and information theory can measure these risks. Another type of uncertainty is ambiguity; where people are not aware of the probabilities. People also attempt to avoid ambiguity. Subjective logic can model ambiguity-based uncertainty using opinions. We look at extensions of information theory to measure the uncertainty of opinions.

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References

  1. Dempster, A.P.: Upper and lower probabilities induced by a multivalued mapping. Ann. Math. Statist. 38(2), 325–339 (1967)

    Article  MathSciNet  Google Scholar 

  2. Ellsberg, D.: Risk, ambiguity, and the savage axioms. Q. J. Ecomonics 75, 643–669 (1961)

    Article  Google Scholar 

  3. Jøsang, A.: A logic for uncertain probabilities. Int. J. Uncertainty, Fuzziness Knowl.-Based Syst. 9(3), 279–311 (2001)

    Article  Google Scholar 

  4. Klir, G.J.: Where do we stand on measures of uncertainty, ambiguity, fuzziness, and the like? Fuzzy Sets and Syst. 24(2), 141–160 (1987)

    Article  MATH  MathSciNet  Google Scholar 

  5. Knight, F.H.: Risk, Uncertainty, and Profit. Library of Economics and Liberty, New York (1921)

    MATH  Google Scholar 

  6. Maeda, Y., Ichihashi, H.: An uncertainty measure with monotonicity under the random set inclusion. Int. J. Gen. Syst. 21(4), 379–392 (1993)

    Article  Google Scholar 

  7. McEliece, R.J.: Theory of Information and Coding, 2nd edn. Cambridge University Press, New York (2001)

    Google Scholar 

  8. Möbius, A.F.: Der barycentrische Calcul. Johann Ambrosius Barth, Leipzig (1827). Re-Published by Georg Olms Verlag. Hildesheim, New York 1976

    Google Scholar 

  9. Pouly, M.: Generalized information theory based on the theory of hints. In: Liu, W. (ed.) ECSQARU 2011. LNCS, vol. 6717, pp. 299–313. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  10. Shannon, C.: A mathematical theory of communication. Bell Syst. Tech. J. 27 (1948)

    Google Scholar 

  11. Wang, D., Muller, T., Irissappane, A.A., Zhang, J., Liu, Y.: Using information theory to improve the robustness of trust systems. In: Proceedings of the Fourteenth International Conference on Autonomous Agents and Multiagent Systems (2015)

    Google Scholar 

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Correspondence to Tim Muller .

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Muller, T., Wang, D., Jøsang, A. (2015). Information Theory for Subjective Logic. In: Torra, V., Narukawa, T. (eds) Modeling Decisions for Artificial Intelligence. MDAI 2015. Lecture Notes in Computer Science(), vol 9321. Springer, Cham. https://doi.org/10.1007/978-3-319-23240-9_19

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  • DOI: https://doi.org/10.1007/978-3-319-23240-9_19

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-23239-3

  • Online ISBN: 978-3-319-23240-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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