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摘要


In this paper, we study a new approach for testing fuzzy hypotheses based on the likelihood ratio test, when the available data are formulated as fuzzy sets. In this approach, we first obtain the likelihood function of the fuzzy random sample, and then, the likelihood ratio test statistic is defined based on the δ-cuts of fuzzy hypotheses. Also, the new definitions of probabilities of type I and type II errors are presented. Finally, the proposed method is illustrated by some numerical examples.

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