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Fuzzy decision making using the imprecise Dirichlet model

Author

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  • Lev V. Utkin
  • Yulia A. Zhuk

Abstract

In most applications, probabilities of states of nature in decision making are not known exactly owing to a lack of complete information. If the available information is represented by a small number of statistical data, Walley's imprecise Dirichlet model may be regarded as a tool for determining interval probabilities of states of nature. It turns out that the resulting expected utilities constitute fuzzy sets and the initial decision problem is reduced to a fuzzy-decision problem. A numerical example illustrates the proposed approach to solving decision problems under the scarce information about states of nature. The approach is compared with ?-contaminated (robust) models. This approach can also be applied for the construction of fuzzy sets on the basis of statistical observations.

Suggested Citation

  • Lev V. Utkin & Yulia A. Zhuk, 2013. "Fuzzy decision making using the imprecise Dirichlet model," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 5(1), pages 74-90.
    • Handle: RePEc:ids:ijmore:v:5:y:2013:i:1:p:74-90
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