Journal
INTERNATIONAL JOURNAL OF APPROXIMATE REASONING
Volume 93, Issue -, Pages 544-560Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ijar.2017.12.003
Keywords
Statistical tests; Fuzzy data; Fuzzy hypotheses; Fuzzy p-value
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We have considered different approaches for the calculation of the p-value for fuzzy statistical tests. We have considered several approaches known from literature, and a new one, based on Lehmann's concept of the interval statistical hypothesis. For the particular problem of testing hypotheses about the mean in the normal distribution with known standard deviation, and a certain type of fuzziness (both in data and tested hypotheses), we have found approximate probability distributions of the respective defuzzified p-values. These distributions let us evaluate the compatibility of the observed data with the assumed hypothetical model. (C) 2017 Elsevier Inc. All rights reserved.
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