أسلوب بيز لاختبار الفرضية الضبابية مع تطبيق عملي

Abstract

Abstract :This paper deals with introducing a Bayesian decision rule in a fuzzy environment, were the parameters related to the increasing of percentage of blood sugar above the normal level, is considered random variable have prior distribution [π(θ)] , here it is found to Beta with estimated parameters (a ̂=3 ,b ̂=4), and the underlying distribution of patients suffering from this disease ,is considered to be Binomial with (n,θ) were (θ) is random variable having under [π(θ)] , the decision rule is studied under Beta _Binomial distribution, and the membership function , were constructed from data about (θ) under null hypothesis and Altarnativehypothesis . The application has been done on the data (Diabetes Mellitus) , for different independent sample of patient suffering from this chronic disease , taken from center of treating Diabetes Mellitus at Yarmuk _ Hospital . Then the test is applied and the results are obtained from solving the integrals [I_0,I_1 ] to obtain the best test for the Bayesian fuzzy hypothesis, and the result for the test are applied in special table. Keywords : Membership Function , Fuzzy Hypothesis, Prior Distribution , Posterior Distribution .