UJI HIPOTESA FUZZY DENGAN METODE P-VALUE FUZZY UNTUK BEBERAPA DISTRIBUSI; FUZZY HYPOTHESIS TESTING WITH FUZZZY P-VALUE METHOD FOR SOME DISTRIBUTION

Wahidaturrahmi, Subanar

2012 | Disertasi | PROGRAM STUDI S2 MATEMATIKA

The character of Mathematics analysis system which is known until now is too exact, so it cannot work properly in some daily problems especially if it’s facing fuzzy concept. Fuzzy concept is an extension of classic concept. Related to the problem of statistical hypothesis testing and fuzzy, in this thesis will be discussed about a hypothesis which has fuzzy statement, so called fuzzy hypothesis. The problem solving is using p-value fuzzy method which is compared with fuzzy significance level. Data application is applied for some distributions, i.e. normal distribution, student-t and poisson. Conclusion of fuzzy hypothesis test is that it gives more rational decision than classic hypothesis test. If fuzzy null hypothesis is not applicable for sample data, then the fuzzy null hypothesis is rejected until certain degree, ? and fuzzy null hypothesis is accepted until certain degree that is 1-?, with ? ? [0,1]. So that the decision to reject or accept the hypothesis is not shown here, but it gives a clarification about how far the degree of refusing or accepting a fuzzy null hypothesis can be applicable for sample data.

Kata Kunci : Hipotesa Fuzzy; Metode P-Value Fuzzy; Distribusi