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Testing fuzzy hypotheses based on vague observations: a \(p\)-value approach. (English) Zbl 1440.62104

Summary: This paper deals with the problem of testing statistical hypotheses when both the hypotheses and data are fuzzy. To this end, we first introduce the concept of fuzzy \(p\)-value and then develop an approach for testing fuzzy hypotheses by comparing a fuzzy \(p\)-value and a fuzzy significance level. Numerical examples are provided to illustrate the approach for different cases.

MSC:

62F86 Parametric inference and fuzziness
62F03 Parametric hypothesis testing

Software:

ump; Maple
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References:

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