Samaneh Asghari - Ph. D. student, Department of Statistics, Ferdowsi University of Mashhad, Mashhad, Iran,
Bahram Sadeghpour Gileh - Academic member, Department of Statistics, Ferdowsi University of Mashhad, Mashhad, Iran,

In the present study, we develop a realistic approach that allows the consideration of imprecise output data resulting from the measurements of the products quality. A general method combining the vector of fuzzy numbers to produce the membership function of fuzzy estimator of inertial capability index is introduced for further testing process capability. Two useful fuzzy inference criteria, the critical value and the fuzzy P-value, are proposed to assess the manufacturing process capability based on pi C .

Inertial capabilty index; Fuzzy hypothesis testing; Critical value; Fuzzy P-value