Reasoning with Vague Probability Assessments

  • Gert de Cooman
Part of the Advances in Soft Computing book series (AINSC, volume 37)


In this lecture, I expound and comment on a model, or even more ambitiously, a theory, for representing, and drawing inferences from, vague probability assessments. The details of this theory have been published in two papers, the first [3] dealing with its behavioural underpinnings, and the second [1, 2] with its deeper mathematical aspects.


  1. [1]
    G. de Cooman. A behavioural model for vague probability assessments. Fuzzy Sets and Systems, 154:305–358, 2005. With discussion.MATHCrossRefMathSciNetGoogle Scholar
  2. [2]
    G. de Cooman. Further thoughts on possibilistic previsions: a rejoinder. Fuzzy Sets and Systems, 154:375–385, 2005.MATHCrossRefMathSciNetGoogle Scholar
  3. [3]
    G. de Cooman and P. Walley. A possibilistic hierarchical model for behaviour under uncertainty. Theory and Decision, 52:327–374, 2002.MATHCrossRefMathSciNetGoogle Scholar
  4. [4]
    P. Walley. Statistical Reasoning with Imprecise Probabilities. Chapman and Hall, London, 1991.MATHGoogle Scholar
  5. [5]
    L. A. Zadeh. Fuzzy probabilities. Information Processing and Management, 20:363–372, 1984.MATHCrossRefGoogle Scholar
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    L. A. Zadeh. Toward a perception-based theory of probabilistic reasoning with imprecise probabilities. Journal of Statistical Planning and Inference, 105:233–264, 2002.MATHCrossRefMathSciNetGoogle Scholar

Copyright information

© Springer 2006

Authors and Affiliations

  • Gert de Cooman
    • 1
  1. 1.Research Group SYSTeMS, Technologiepark – Zwijnaarde 914Ghent UniversityZwijnaardeBelgium

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