Document Type : Research Paper


1 Department of Statistics, Faculty of Basic Science, University of Mazandaran, P.O. Box 311, Babolsar, Iran

2 PhD student, Science and Research Branch, Islamic Azad University (IAU), Tehran, Iran

3 Iran University of Science and Technology, Tehran, Iran


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.


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