Testing statistical hypotheses for intuitionistic fuzzy data

چکیده مقاله

The present work is aimed to extend the classical statistical methods based on intuitionistic fuzzy data to hypothesis test about exact parameter of the underlying population. In this approach, the concepts of the intuitionistic fuzzy type-I error, intuitionistic fuzzy type-II error, intuitionistic fuzzy power and intuitionistic fuzzy p value are extended at a given significance level. A degree-based criterion is also suggested to compare the intuitionistic fuzzy p value and a specific significance level to make decision on whether accepting or rejecting the null hypothesis. An applied example is examined based on the proposed method in both parametric and nonparametric cases. The results indicate that the proposed method can be successfully applied for all parametric/nonparametric statistical hypotheses testing based on intuitionistic fuzzy continuous data.