A measurement control system ensures that measuring equipment and measurement processes are fit for their intended use and its importance in achieving product quality objectives. In most real life applications, the observations are fuzzy. In this paper, first we use the Dp,q -distance for the point estimation of process capability index Cpm based on fuzzy data and use this estimation for constructing confidence interval for Cpm and present a membership function for Cpm. A numerical example has presented for showing the sensitivity of this new approach with respect to the ambiguity of target value.

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