18. Bayesian Decisions and Fuzzy Information

  1. Reinhard Viertl

Published Online: 5 JAN 2011

DOI: 10.1002/9780470974414.ch18

Statistical Methods for Fuzzy Data

Statistical Methods for Fuzzy Data

How to Cite

Viertl, R. (2011) Bayesian Decisions and Fuzzy Information, in Statistical Methods for Fuzzy Data, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9780470974414.ch18

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 decisions and fuzzy information;
  • decisions, connected with utility or loss;
  • utility of decision, and state of considered system;
  • Bayesian decision analysis, and a priori information - form of a priori distributions;
  • corresponding sums or integrals existing - basis for optimal decisions, expected utility;
  • Bayesian decision dB - maximizing expected utility;
  • fuzzy utility, in reality not possible - to find exact utility values;
  • discrete state space;
  • continuous state space - fuzzy probability distribution P*, by fuzzy probability density;
  • classical situation of Bayesian decisions


This chapter contains sections titled:

  • Bayesian decisions

  • Fuzzy utility

  • Discrete state space

  • Continuous state space

  • Problems