The Weibull distribution has been widely used in the areas of quality and reliability. The Anderson–Darling test has been popularly used either the data in hand follow the Weibull distribution or not. The existing Anderson–Darling test under classical statistics is applied when all the observations in quality and reliability work are determined, précised, and exact. In the areas of reliability and quality, the data may indeterminate, in-interval and fuzzy. In this case, the existing Anderson–Darling test cannot be applied for testing the assumption of the Weibull distribution. In this paper, we present the Anderson–Darling test under neutrosophic statistics. We present the methodology to fit the neutrosophic Weibull distribution on the data. We discuss the testing procedure with the help of reliability data. We present the comparisons of the proposed test with the existing Anderson–Darling the goodness of fit test under classical statistics. From the comparison, it is concluded that the proposed test is more informative than the existing Anderson–Darling test under an indeterminate environment. In addition, the proposed test gives information about the measure of indeterminacy.

威布尔分布已被广泛用于质量和可靠性领域。安德森–达林（Anderson-Darling）测试已被广泛使用，无论手头数据是否遵循Weibull分布。当对质量和可靠性工作的所有观察结果都进行了确定，精确和精确的确定时，将应用经典统计下的现有安德森–达林检验。在可靠性和质量方面，数据可能不确定，间隔和模糊。在这种情况下，现有的Anderson-Darling检验不能用于检验Weibull分布的假设。在本文中，我们介绍了在中智统计下的安德森–达林检验。我们提出了适合数据的中智威布尔分布的方法。我们将借助可靠性数据来讨论测试过程。我们将提出的测试与现有的Anderson-Darling在经典统计下的拟合优度进行比较。从比较中可以得出结论，在不确定的环境下，拟议的测试比现有的Anderson-Darling测试更具信息性。此外，建议的测试还提供有关不确定性度量的信息。