A new sudden death chart for the Weibull distribution under complexity

Abstract

This article presents a new control chart for monitoring reliability using sudden death testing under the neutrosophic statistics (NS). The average run lengths of the in-control and the out-of-control process have been determined for evaluating the quick detection ability for small and moderate shifts. For the industrial use, tables and figures have been presented for different parameters. The proposed control chart is efficient in comparison with the existing control chart under classical statistics and value addition in the toolkit of the quality control personnel.

A Review and Perspective on Neutrosophic Statistical Process Monitoring Methods

“…Almarashi and Aslam [33], Shawky et al [34], and Aslam et al [35] developed monitoring methods under the assumption of an underlying neutrosophic gamma distribution while Khan et al [2] assumed an underlying neutrosophic Rayleigh distribution. Aslam et al [36] and Arif et al [37] assumed an underlying neutrosophic Weibull distribution. Neutrosophic Hotelling T 2 control charts based on multivariate data were proposed by Alsam and Arif [38] and Wibawati et al [39].…”

Neutrosophic entropy measures for the Weibull distribution: theory and applications

“…This x N is mostly the interval including x , generally, it is a set that approximates x , see [38]. More information on neutrosophic Weibull distribution can be seen in [39] and [40].…”

Parameter Estimation and Applications of the Weibull Distribution for Strength Data of Glass Fiber

“…Because of the good properties of the Weibull distribution, it is currently applied in various fields. Many researches have proposed the related distribution, neutrosophic statistics, or extended distribution and discussed its properties and applications, such as Alkarni et al [6], Almongy et al [7], Almetwally et al [8], Ferretti et al [9], Zhao et al [10], Aslam et al [11], Fernández et al [12], Arif and Aslam [13], Aslam et al [14], Aslam [15], Aslam et al [16], Aslam and Arif [17], and Zhang et al [18].…”