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Statistical Methods for Fuzzy Data by Reinhard Viertl

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18

Bayesian decisions and fuzzy information

Decisions are frequently connected with utility or loss. The quantification of the utility U(d) of a decision d can be a difficult task. Therefore a suitable model is to describe the utility by a fuzzy number U*(d). Moreover the utility of a decision depends on the state of the considered system. Therefore the utility depends on both the state Θ and the decision d, i.e. U(θ, d).

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