Abstract
This paper will introduce the neutrosophic COM-Poisson (NCOM-Poisson) distribution. Then, the design of the attribute control chart using the NCOM-Poisson distribution is given. The structure of the control chart under the neutrosophic statistical interval method will be given. The algorithm to determine the average run length under neutrosophic statistical interval system will be given. The performance of the proposed control chart is compared with the chart based on classical statistics in terms of neutrosophic average run length (NARL). A simulation study and a real example are also added. From the comparison of the proposed control chart with the existing chart, it is concluded that the proposed control chart is more efficient in detecting a shift in the process. Therefore, the proposed control chart will be helpful in minimizing the defective product. In addition, the proposed control chart is more adequate and effective to apply in uncertainty environment.
Highlights
The performance of the proposed control chart is compared with the chart based on classical statistics in terms of neutrosophic average run length (NARL)
Control chart is an important tool of the statistical process control (SPC) that has been widely used in the industry and service company for the monitoring of the manufacturing process
This paper introduced the NCOM-Poisson distribution first
Summary
Control chart is an important tool of the statistical process control (SPC) that has been widely used in the industry and service company for the monitoring of the manufacturing process. Reference [11] proposed the control chart based on COM-Poisson distribution using the resampling approach. It is not always possible that the industrial engineers know about the proportion defective parameter In this situation, the attribute control charts based on fuzzy approach are applied for the monitoring of nonconformities. The existing control chart based on the COM-Poisson distribution is designed under the classical statistics. The existing control charts using COM-Poisson distribution under classical statistics cannot be applied for the monitoring of the process when uncertain observations are in the data. According to the best of our knowledge, there is no work on the design of attribute control charts based on COM-Poisson distribution under the neutrosophic statistical interval method.
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