ACCEPTANCE SINGLE SAMPLING PLAN WITH FUZZY PARAMETER

Abstract

The acceptance sampling plan problem is an important topic in<br />quality control and both the theory of probability and theory of fuzzy sets may<br />be used to solve it. In this paper, we discuss the single acceptance sampling<br />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<br />high and low bounds and that for fixed sample size and acceptance number,<br />the width of the band depends on the ambiguity proportion parameter in the<br />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.