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Fuzzy hypothesis testing with hybrid data as developed elsewhere by the authors is applied to signal detection when the uncertainty associated with a received signal parameter cannot be modelled objectively using probability. The presence of additive Gaussian noise is assumed, and a fuzzy amplitude as well as a fuzzy signal shape are considered. A numerical example is given and the resulting probability of error performance curves are plotted and compared with the curves obtained using the minimax criterion.
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Saade et al. (1994) studied this question.
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