On Belief Functions and Random Sets

  • Hung T. Nguyen
Part of the Advances in Intelligent and Soft Computing book series (AINSC, volume 164)


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.


Probability Measure Polish Space Belief Function Maximum Entropy Principle Excess Mass 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Hung T. Nguyen
    • 1
    • 2
  1. 1.New Mexico State UniversityAlbuquerqueUSA
  2. 2.Chiang Mai UniversityChiang MaiThailand

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