Probability distributions related to fuzzy P-values

Abstract

In the paper we have considered different approaches for the calculation of the p-value for fuzzy statistical tests. For the particular problem of testing hypotheses about themean in the normal distributionwith knownstandard deviation, and a certain type of fuzziness (both in data and tested hypotheses) we have found probability distributions of the respective defuzzified p-values. These distributions let us evaluate the compatibility of the observed data with the assumed hypothetical model.