The conventional advanced process yield index ST pk is widely applied in industry to provide an exact measure of the overall production yield whose quality characteristics are mutually independent and multivariate normally distributed. While one can find numerous studies that consider a crisp estimation of ST pk to evaluate and test the overall process yield, the recorded measurements of product quality characteristics are not always reported precisely. This paper presents a new fuzzy-based method to assess the overall process yield in the presence of a specied degree of ambiguity for the sample data. After nding a fuzzy estimator of ST pk based on Buckley\'s approach, a new fuzzy three-decision testing rule is proposed to evaluate process performance based on critical values and fuzzy p-values. Subsequently, this work extends the application of the proposed method to the class of correlated characteristics by adopting the principal component analysis technique. The introduced fuzzy testing procedure includes the existing customary binary-decision testing ruleas a spacial case. In addition, comparative studies are conducted to display the benets of the proposed rule. Finally, two industrial examples are given for independent and correlated characteristics to guide the practitioners.

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