Abstract
The failure-censored reliability tests available in the literature are applied when under the assumption that all failure data/observations are precise, clear and determinate. But, in practice, when the variable failure data/observations obtained from the measurement process are not precise, clear and determinate, the failure-censored reliability tests using classical statistics cannot be applied for the reliability testing. A more generalized form of the classical statistics is known as neutrosophic statistics which can be applied when the measurable failure data/observations are indeterminate, unclear, incomplete and vague. In this manuscript, we will originally design failure-censored reliability tests using the neutrosophic fuzzy approach. The neutrosophic plan parameters of the proposed neutrosophic fuzzy failure-censored reliability plan assume that the failure time follows the neutrosophic Weibull distribution. The neutrosophic fuzzy optimization problem is used to determine the neutrosophic plan parameters for given producer's risk and consumer's risk. Some tables are given for the practical use and exampled with the help of an example.