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International Conference on Soft Methods in Probability and Statistics

SMPS 2016: Soft Methods for Data Science pp 311–318Cite as

The Qualitative Characteristics of Combining Evidence with Discounting

Part of the Advances in Intelligent Systems and Computing book series (AISC,volume 456)

Abstract

The qualitative characteristics of the combining evidence with the help of Dempster’s rule with discounting is studied in this paper in the framework of Dempster-Shafer theory. The discount coefficient (discounting rate) characterizes the reliability of information source. The conflict between evidence and change of ignorance after applying combining rule are considered in this paper as important characteristics of quality of combining. The quantity of ignorance is estimated with the help of linear imprecision index. The set of crisp and fuzzy discounting rates for which the value of ignorance after combining does not increases is described.

Keywords

  • Belief functions
  • Discount method
  • Imprecise index

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Acknowledgments

The financial support from the Government of the Russian Federation within the framework of the implementation o f the 5–100 Programme Roadmap of the National Research University Higher School of Economics is acknowledged. This work was supported by the grant 14-07-00189 of RFBR (Russian Foundation for Basic Research).

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Authors and Affiliations

  1. Higher School of Economics, 20 Myasnitskaya Ulitsa, 101000, Moscow, Russia

    Alexander Lepskiy

Authors
  1. Alexander Lepskiy
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Corresponding author

Correspondence to Alexander Lepskiy .

Editor information

Editors and Affiliations

  1. Department of Statistical Sciences, Sapienza University of Rome, Rome, Italy

    Maria Brigida Ferraro

  2. Department of Statistical Sciences, Sapienza University of Rome, Roma, Italy

    Paolo Giordani

  3. Dept of Basic & Applied Sciences Engg, Sapienza University of Rome, Rome, Italy

    Barbara Vantaggi

  4. Dept of Stoc Metds,Polish Academy of Sci, Systems Research Institute, Warsaw, Poland

    Marek Gagolewski

  5. Dept of Statis&OR and MD, Univ de Oviedo, Oviedo, Spain

    María Ángeles Gil

  6. Dept of Stoc Metds,Polish Aca of Science, Systems Res Inst, Warsaw, Poland

    Przemysław Grzegorzewski

  7. Sys Res Inti, Dept of Stoch Methods, Polish Acadmy Sci in Warsaw, Warsaw, Poland

    Olgierd Hryniewicz

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Lepskiy, A. (2017). The Qualitative Characteristics of Combining Evidence with Discounting. In: Ferraro, M., et al. Soft Methods for Data Science. SMPS 2016. Advances in Intelligent Systems and Computing, vol 456. Springer, Cham. https://doi.org/10.1007/978-3-319-42972-4_39

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  • DOI: https://doi.org/10.1007/978-3-319-42972-4_39

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-42971-7

  • Online ISBN: 978-3-319-42972-4

  • eBook Packages: EngineeringEngineering (R0)

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