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Statistical hypotheses testing for fuzzy data. (English) Zbl 1081.62012
Summary: The method of handling fuzziness upon the usual method of statistical hypotheses testing is proposed. We transact the \(h\)-level set of fuzzy data for the sake of invoking usual methods of statistical hypotheses testing. We propose the decision rules that are used to accept or reject the null and alternative hypotheses with the notions of degrees of optimism and pessimism by solving optimization problems. We also provide a computational procedure and an example to clarify the discussions in this paper.

MSC:
62F03 Parametric hypothesis testing
62A01 Foundations and philosophical topics in statistics
03E72 Theory of fuzzy sets, etc.
62F99 Parametric inference
65C60 Computational problems in statistics (MSC2010)
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