The prioritization of the failure risks of the components in an existing product is critical for product redesign decision-making considering various uncertainties. Two issues need to be addressed in the failure risk prioritization process. One is the evaluation of the failure risk considering each failure mode for each component. Currently, many failure mode effects and analysis (FMEA) methods based on fuzzy logic seldom deal with the randomness in failure mode occurrence during the product operation stage. Therefore, in this research, the information axiom is extended to calculate the information contents of risk indices considering these two types of uncertainty. The second issue is the evaluation of the degree of failure risk for each of the components. The weighted sum of information content considering all failure modes is used to assess the risk of components based on a fuzzy logarithmic least squares method (FLLSM). Additionally, a case study to prioritize the failure risks of various components in a crawler crane is implemented to demonstrate the effectiveness of the developed approach.

优先考虑现有产品中组件的故障风险对于考虑各种不确定性的产品重新设计决策至关重要。故障风险优先级排序过程中需要解决两个问题。一种是考虑每个组件的每种故障模式来评估故障风险。当前，许多基于模糊逻辑的失效模式影响和分析（FMEA）方法很少涉及产品运营阶段失效模式发生中的随机性。因此，在本研究中，考虑了这两种类型的不确定性，将信息公理扩展为计算风险指标的信息内容。第二个问题是评估每个组件的故障风险程度。考虑所有故障模式的信息内容的加权总和用于基于模糊对数最小二乘法（FLLSM）评估组件的风险。此外，还进行了一个案例研究，以对履带起重机中各个组件的故障风险进行优先级排序，以证明所开发方法的有效性。