New Decision Rules for Fuzzy Statistical Inferences

WeRosset, J.Donzé, L. profit from the concept of the fuzzy confidence interval to implement two decision rules based on two new measures called levels of acceptance and rejection, to perform fuzzy hypothesis testing. The procedure can make a decision when both the data and hypotheses are fuzzy. Through a numerical application, we illustrate our proposed method. We compare the levels of acceptance and rejection of different fuzzy null hypotheses at a 5% significant level for a confidence interval at a 95% confidence level.