Present article proposes the neutrosophic moving average (NMA) control chart under neutrosophic statistics (NS) based on multiple dependent state (MDS), Repetitive and multiple dependent state repetitive (MDSR) sampling schemes. The neutrosophic moving average control chart is useful to monitor the process mean in the industries when the measurements expressed in terms of uncertainty or fuzzy or interval. In this circumstance, the existing monitoring designs could not be useful for the monitoring of mean accident or injury data. In the present investigation neutrosophic moving average control chart is developed under the NS. The chart coefficients of the proposed control chart are obtained using Monte Carlo simulation under NS. A comparative study between the three sampling schemes of neutrosophic moving average control chart under neutrosophic statistics (NS) is given. Two real examples from accident and injury data are taken to investigate the accomplishment of the proposed chart. Based on the simulation study and real data, the proposed chart is out performed over the existing control charts.