Failure mode and effect analysis (FMEA) is a method used to detect causes of failures that may occur in a product or process, and FMEA is more important to prevent a failure before existing by computerized controllers in many industries. The control mechanism must have the ability to calculate and interpret the risk priority number (RPN) value for a fault mode. RPN consists of the ratio values of severity, occurrence, and detectability in FMEA for failure prioritization in order to provide a proper mechanism under this uncertain environment. So, this study is to develop a new grey failure mode and effect analysis (GFMEA) approach by combining grey relational analysis (GRA) with the mass gravity theory (MGT). A new RPN calculation technique based on the mass gravity law has been developed by calculating the relationship between the weights of each process for the production process. The problems resolved within the company without reflection to customers and were detected in the next operations for a steel-door manufacturing process. Hence, the new RPN values are more reliable for decision-makers in the process of production and operations management and obtained with efficient solutions for use to computerized FMEA process.

失效模式和影响分析 (FMEA) 是一种用于检测产品或过程中可能发生的失效原因的方法，而 FMEA 更重要的是在许多行业中通过计算机控制器防止失效之前发生。控制机制必须能够计算和解释故障模式的风险优先级数 (RPN) 值。RPN 由 FMEA 中的严重性、发生率和可检测性的比率值组成，用于确定故障优先级，以便在这种不确定环境下提供适当的机制。因此，本研究将灰色关联分析（GRA）与质量重力理论（MGT）相结合，开发一种新的灰色失效模式和影响分析（GFMEA）方法。通过计算生产过程中每个过程的权重之间的关系，开发了一种基于质量重力定律的新的 RPN 计算技术。问题在公司内部解决，没有反映给客户，并在钢门制造过程的下一步操作中发现。因此，新的 RPN 值对于生产和运营管理过程中的决策者来说更加可靠，并且通过用于计算机化 FMEA 过程的有效解决方案获得。