Abstract
We will introduce a neutrosophic exponentially weighted moving average (NEWMA) statistic for the attribute data. We will use the proposed NEWMA to design an attribute control chart. We will introduce the neutrosophic Monte Carlo simulation to find the neutrosophic average run length (NARL). The comparative study shows the efficiency of the proposed NEWMA attribute. Two examples of having neutrosophic parameters will be given to explain the proposed control chart. We hope that the proposed chart will perform better under uncertainty.