Bahram Sadeghpour Gildeh - Department of Statistics, Faculty of Basic Science, University of Mazandaran, P.O. Box ۳۱۱, Babolsar, Iran
Ezzatallah Baloui Jamkhaneh - PhD student, Science and Research Branch, Islamic Azad University (IAU), Tehran, Iran
Gholamhossein Yari - Iran University of Science and Technology, Tehran, Iran

The acceptance sampling plan problem is an important topic inquality control and both the theory of probability and theory of fuzzy sets maybe used to solve it. In this paper, we discuss the single acceptance samplingplan, when the proportion of nonconforming products is a fuzzy number. We  show that the operating characteristic (𝑂𝐶) curve of the plan is a band havinghigh and low bounds and that for fixed sample size and acceptance number,the width of the band depends on the ambiguity proportion parameter in thelot. 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.

Statistical quality control, Single sampling plan, Fuzzy number, Fuzzy probability of acceptance