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A Decomposable Entropy of Belief Functions in the Dempster-Shafer Theory

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Book cover Belief Functions: Theory and Applications (BELIEF 2018)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 11069))

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Abstract

We define entropy of belief functions in the Dempster-Shafer (D-S) theory that satisfies a compound distributions property that is analogous to the property that characterizes Shannon’s definitions of entropy and conditional entropy for discrete probability distributions. None of the existing definitions of entropy for belief functions in the D-S theory satisfy such a compound distributions property. We describe some important properties of our definition.

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Notes

  1. 1.

    For lack of space, proofs of all theorems and properties are omitted, and can be found in a working paper that can be downloaded from http://pshenoy.faculty.ku.edu/Papers/WP334.pdf.

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Author information

Authors and Affiliations

  1. Faculty of Management, University of Economics, and The Czech Academy of Sciences, Institute of Information Theory and Automation, Jindřichův Hradec and Prague, Czech Republic

    Radim Jiroušek

  2. School of Business, University of Kansas, Lawrence, KS, 66045, USA

    Prakash P. Shenoy

Authors
  1. Radim Jiroušek
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  2. Prakash P. Shenoy
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Corresponding author

Correspondence to Prakash P. Shenoy .

Editor information

Editors and Affiliations

  1. University of Technology of Compiègne, Compiègne Cedex, France

    Sébastien Destercke

  2. UMR CNRS 7253 Heudiasyc, Université de Technologie de Compiègne, Compiègne Cedex, France

    Thierry Denoeux

  3. Department of Computing and Communication, Oxford Brookes University, Oxford, United Kingdom

    Fabio Cuzzolin

  4. Université de Rennes 1, Lannion Cedex, France

    Arnaud Martin

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Jiroušek, R., Shenoy, P.P. (2018). A Decomposable Entropy of Belief Functions in the Dempster-Shafer Theory. In: Destercke, S., Denoeux, T., Cuzzolin, F., Martin, A. (eds) Belief Functions: Theory and Applications. BELIEF 2018. Lecture Notes in Computer Science(), vol 11069. Springer, Cham. https://doi.org/10.1007/978-3-319-99383-6_19

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  • DOI: https://doi.org/10.1007/978-3-319-99383-6_19

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-99382-9

  • Online ISBN: 978-3-319-99383-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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