Abstract
Our method of estimation of parameters in statistics uses a set of confidence intervals producing a triangular shaped fuzzy number for the estimator. Using this fuzzy estimator in hypothesis testing produces a fuzzy test statistic and fuzzy critical values in fuzzy hypothesis testing. We show how these fuzzy sets may be used to derive the usual conclusion of: (1) reject the null hypothesis, or (2) do not reject the null hypothesis.
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Maple 6, Waterloo Maple Inc., Waterloo, Canada
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Buckley, J. Fuzzy statistics: hypothesis testing. Soft Comput 9, 512–518 (2005). https://doi.org/10.1007/s00500-004-0368-5
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DOI: https://doi.org/10.1007/s00500-004-0368-5