ACCEPTANCE SINGLE SAMPLING PLAN WITH FUZZY PARAMETER

Abstract. The acceptance sampling plan problem is an important topic in quality control and both the theory of probability and theory of fuzzy sets may be used to solve it. In this paper, we discuss the single acceptance sampling plan, when the proportion of nonconforming products is a fuzzy number. We show that the operating characteristic (oc) curve of the plan is a band having high and low bounds and that for fixed sample size and acceptance number, the width of the band depends on the ambiguity proportion parameter in the lot. When the acceptance number equals zero, this band is convex and the convexity increases with n Finally, we compare the oc bands for a given value of c.