*Article* **Monitoring the Process Based on Belief Statistic for Neutrosophic Gamma Distributed Product**

**Muhammad Aslam 1,\*, Rashad A. R. Bantan <sup>2</sup> and Nasrullah Khan <sup>3</sup>**


Received: 12 March 2019; Accepted: 8 April 2019; Published: 12 April 2019

**Abstract:** In this paper, we developed a control chart methodology for the monitoring the mean time between two events using the belief estimator under the neutrosophic gamma distribution. The proposed control chart coefficients and the neutrosophic average run length (NARL) have been determined using different process settings. The performance of the proposed chart is compared with the control chart under classical statistics in terms of NARL using the simulation data and real example. From comparisons, it is concluded that the proposed chart is efficient, effective and adequate to be used under uncertainty environment than the chart under classical statistics.

**Keywords:** control chart; fuzzy logic; neutrosophic statistic; incomplete data; belief statistic; gamma distribution
