Testing Statistical Hypotheses with Fuzzy Data

In traditional hypotheses test, the sample data and hypotheses are crispness. In this paper we consider hypotheses test for mean in normal populations with fuzzy data when variance of population is unknown. In this fuzzy test, we will make a fuzzy decision for rejection or acceptance null hypothesis. This fuzzy decision shows a degree of acceptability and degree of rejection of the null hypothesis. Our fuzzy test is well-defined since if the data are precise, we get a classical statistical test. Finally we give some example.