14. Bayes' theorem and fuzzy information

  1. Reinhard Viertl

Published Online: 5 JAN 2011

DOI: 10.1002/9780470974414.ch14

Statistical Methods for Fuzzy Data

Statistical Methods for Fuzzy Data

How to Cite

Viertl, R. (2011) Bayes' theorem and fuzzy information, in Statistical Methods for Fuzzy Data, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9780470974414.ch14

Author Information

  1. Vienna University of Technology, Austria

Publication History

  1. Published Online: 5 JAN 2011
  2. Published Print: 11 FEB 2011

ISBN Information

Print ISBN: 9780470699454

Online ISBN: 9780470974414



  • Bayesian inference and fuzzy information;
  • Bayes' theorem and fuzzy information;
  • fuzzy data description;
  • fuzzy a priori distributions;
  • updating fuzzy a priori distributions;
  • updated information - and conditional distribution;
  • generalized arithmetic for fuzzy numbers;
  • sequential property of Bayesian updating procedure;
  • situation of fuzzy a priori distribution - and fuzzy sample;
  • fuzzy discrete probability distribution


This chapter contains sections titled:

  • Fuzzy a priori distributions

  • Updating fuzzy a priori distributions

  • Problems