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On Belief Functions and Random Sets

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Belief Functions: Theory and Applications

Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 164))

Abstract

We look back at how axiomatic belief functions were viewed as distributions of random sets, and address the problem of joint belief functions in terms of copulas. We outline the axiomatic development of belief functions in the setting of incidence algebras, and some aspects of decision-making with belief functions.

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Author information

Authors and Affiliations

  1. New Mexico State University, Albuquerque, USA

    Hung T. Nguyen

  2. Chiang Mai University, Chiang Mai, Thailand

    Hung T. Nguyen

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  1. Hung T. Nguyen
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Editor information

Editors and Affiliations

  1. , Centre de Recherches de Royallieu, Université de Technologie de Compiègne, Compiègne, 60205, France

    Thierry Denoeux

  2. Université de Picardie Jules Verne, Compiègne, France

    Marie-Hélène Masson

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Nguyen, H.T. (2012). On Belief Functions and Random Sets. In: Denoeux, T., Masson, MH. (eds) Belief Functions: Theory and Applications. Advances in Intelligent and Soft Computing, vol 164. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29461-7_1

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  • DOI: https://doi.org/10.1007/978-3-642-29461-7_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-29460-0

  • Online ISBN: 978-3-642-29461-7

  • eBook Packages: EngineeringEngineering (R0)

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