Sadegh Asghari - Department of Statistics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran
Ezzatallah Baloui Jamkhaneh - Department of Statistics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran
Einolah Deiri - Department of Statistics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran

In the present paper, the acceptance single sampling plan is developed by the generalized intuitionistic fuzzy numbers. The \alpha_۱-cut and \alpha_۲-cut sets of the generalized intuitionistic fuzzy numbers are applied to construct the acceptance single sampling plan. We also investigate the operating characteristic curve, where the parameter is considered the generalized intuitionistic fuzzy number. The (\alpha_۱,\alpha_۲)-cut set of generalized intuitionistic fuzzy operating characteristics is constructed. The bands are represented with upper and lower bounds instead of curves for operating characteristics and evaluated in detail. Finally, the numerical example is given to illustrate the proposed approach.

Generalized intuitionistic fuzzy numbers, (\alpha_۱, \alpha_۲)-cut set, Binomial distribution, OC bands