Khan, N. S.Rao, G. S.Sherwani, R. A. K.Hussein, A.2023-05-232023-05-232023Khan, N., Rao, G. S., Sherwani, R. A. K., & Hussein, A. (2023). Uncertainty-based sampling plans for various statistical distributions. AIMS Mathematics, 8(6), 14558-14571.URL: http://www.aimspress.com/article/doi/10.3934/math.2023744http://hdl.handle.net/20.500.12661/3848Full text Article. Also available at http://www.aimspress.com/article/doi/10.3934/math.2023744This research work appertains to the acceptance sampling plan under the neutrosophic statistical interval method (ASP-NSIM) based on gamma distribution (GD), Burr type XII distribution (BXIID) and the Birnbaum-Saunders distribution (BSD). The plan parameters will be determined using the neutrosophic non-linear optimization problem. We will provide numerous tables for the three distributions using various values of shape parameters and degree of indeterminacy. The efficiency of the proposed ASP-NSIM will be discussed over the existing sampling plan in terms of sample size. The application of the proposed ASP-NSIM will be given with the aid of industrial data.enAcceptance sampling planProducer’s riskConsumer’s riskNeutrosophic methodNeutrosophic non-linear optimization problemStatistical distributionGamma distributionBurr type XII distributionArticle