Fuzzy decision making using the imprecise Dirichlet model
by Lev V. Utkin; Yulia A. Zhuk
International Journal of Mathematics in Operational Research (IJMOR), Vol. 5, No. 1, 2013

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.

Online publication date: Mon, 31-Mar-2014

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