Statistical hypotheses testing for fuzzy data

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 method 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.