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A new approach for testing fuzzy hypotheses based on \(p\)-value. (Persian. English summary) Zbl 1418.62098

Summary: In this paper, a new approach is presented for testing fuzzy hypotheses based on \(p\)-value method. In this method, we first formulate the hypotheses of interest by fuzzy sets, and then, the \(p\)-value is defined to integrate under the \(\delta\)-cuts of null fuzzy hypothesis. To compare the proposed p-value with the test significance level, we decide to accept or reject the null fuzzy hypothesis. Finally, the proposed method is employed by some numerical examples.

MSC:

62F86 Parametric inference and fuzziness
62F03 Parametric hypothesis testing
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