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On the Conflict Measures Agreed with the Combining Rules

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Belief Functions: Theory and Applications (BELIEF 2018)

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Abstract

The conflict measures induced by the conjunctive and disjunctive combining rules are studied in this paper in the framework of evidence theory. The coherence of conflict measures with combining rules is introduced and studied. In addition, the structure of conjunctive and disjunctive conflict measures is studied in the paper. In particular, it is shown that the metric and entropy components can be distinguished in such measures. Moreover, these components are changed differently after combining of the bodies of evidence.

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Acknowledgments

The study has been funded by the Russian Academic Excellence Project ‘5-100’. This work was also partially supported by the grant 18-01-00877 of RFBR (Russian Foundation for Basic Research).

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Authors and Affiliations

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

    Alexander Lepskiy

Authors
  1. Alexander Lepskiy
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Correspondence to Alexander Lepskiy .

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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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Lepskiy, A. (2018). On the Conflict Measures Agreed with the Combining Rules. 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_22

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  • DOI: https://doi.org/10.1007/978-3-319-99383-6_22

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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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