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Statistical Methods for Fuzzy Data by Reinhard Viertl

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Chapter 15

a.

Unnumbered Display Equation

Unnumbered Display Equation

with * = (x1*, x2*) combined by the minimum t-norm.

b. For precise data = (x1,…, xn) and standard a priori density π (·) of all δ-level functions of π (·) are identical with π (·). Also the likelihood function is a classical real valued function. Therefore only one δ-level function is obtained by the generalized Bayes’ theorem, i.e.

Unnumbered Display Equation

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