Testing of Grouped Product for the Weibull Distribution Using Neutrosophic Statistics

Abstract

Parts manufacturers use sudden death testing to reduce the testing time of experiments. The sudden death testing plan in the literature can only be applied when all observations of failure time/parameters are crisp. In practice however, it is noted that not all measurements of continuous variables are precise. Therefore, the existing sudden death test plan can be applied if failure data/or parameters are imprecise, incomplete, and fuzzy. The classical statistics have the special case of neutrosophic statistics when there are no fuzzy observations/parameters. The neutrosophic fuzzy statistics can be applied for the testing of manufacturing parts when observations are imprecise, incomplete and fuzzy. In this paper, we will design an original neutrosophic fuzzy sudden death testing plan for the inspection/testing of the electronic product or parts manufacturing. We will assume that the lifetime of the product follows the neutrosophic fuzzy Weibull distribution. The neutrosophic fuzzy operating function will be given and used to determine the neutrosophic fuzzy plan parameters through a neutrosophic fuzzy optimization problem. The results of the proposed neutrosophic fuzzy death testing plan will be implemented with the aid of an example.

Design of a Control Chart Based on COM‐Poisson Distribution for the Uncertainty Environment

“…Reference [28,29] used the NS in the engineering rock mass. Recently, [30][31][32] introduced the NS in the area of acceptance sampling plans. Reference [33] introduced the NS in the area of control chart.…”

Inspection Strategy under Indeterminacy Based on Neutrosophic Coefficient of Variation

“…The neutrosophic chi-square distribution is reduced to chi-square distribution under classical statistics if all observations in the data are precise. Some more details on the neutrosophic distributions can be read in [19,24]. The sampling plans based on the NCV are stated as follows:…”

“…In this situation, when there is indeterminacy in the data, the lot sentencing cannot be done using the traditional sampling plans. To handle this situation, the authors of Reference [23] introduced the neutrosophic statistics in the area of acceptance sampling plans, as well as proposed sampling plans based on the process loss function under the neutrosophic statistical interval method, and the authors of Reference [24] designed the neutrosophic sampling plan using sudden death testing. Aslam and Raza's [25] design proposed a neutrosophic sampling plan for multiple manufacturing lines, the authors of Reference [26] proposed a plan for exponential distribution under neutrosophic statistics, and the authors of Reference [27] proposed a neutrosophic plan for using the regression estimator.…”

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

“…Aslam [41] proposed the plan with measurement error in uncertainty. Aslam and Arif [42] worked on sudden death tests under the uncertainty. Aslam and Raza [43] designed the neutrosophic plan for multiple manufacturing lines.…”