Arefi, Mohsen A new approach for testing fuzzy hypotheses based on \(p\)-value. (Persian. English summary) Zbl 1418.62098 JAMM, J. Adv. Math. Model. 7, No. 2, 1-23 (2018). 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 Keywords:testing statistical hypothesis; test statistic; fuzzy hypothesis; \(p\)-value PDFBibTeX XMLCite \textit{M. Arefi}, JAMM, J. Adv. Math. Model. 7, No. 2, 1--23 (2018; Zbl 1418.62098) Full Text: DOI References: This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.