Failure mode and effects analysis (FMEA) is one of the important methods for risk analysis, and has been used in various fields to improve the reliability of systems. However, in the fuzzy environment, the aggregation, weight calculation, risk evaluation and prioritization of evaluation information limit its wide application. Therefore, this paper proposes an extended multi-objective optimization by ratio analysis plus full multiplicative form (MULTIMOORA) method based on the ordered weighted geometric averaging (OWGA) operator and Choquet integral for FMEA. Firstly, trapezoidal fuzzy numbers (TrFNs) are used for describing the fuzzy ratings of failure modes. Secondly, considering the uncertainty preferences of decision-makers, the OWGA operator is adopted for aggregating the evaluation information given by multiple decision-makers. Thirdly, the TrFNs ranking method based on the relative preference relation is combined with Choquet integral to model the interactions among risk factors, thus capturing their importance weights. On this basis, an extended MULTIMOORA method is proposed to determine the risk priority of failure modes. Finally, two case studies are provided to illustrate the effectiveness and practicability of the proposed method.

故障模式和影响分析（FMEA）是进行风险分析的重要方法之一，已被用于各种领域以提高系统的可靠性。但是，在模糊环境中，聚合，权重计算，风险评估和评估信息的优先次序限制了其广泛的应用。因此，本文提出了一种基于比率分析加全乘法形式（MULTIMOORA）的扩展的多目标优化方法，该方法基于FMEA的有序加权几何平均（OWGA）算子和Choquet积分。首先，梯形模糊数（TrFNs）用于描述失效模式的模糊等级。其次，考虑到决策者的不确定性偏好，采用OWGA运算符来汇总多个决策者给出的评估信息。第三，基于相对偏好关系的TrFNs排序方法与Choquet积分相结合，对风险因素之间的相互作用进行建模，从而捕获其重要性权重。在此基础上，提出了一种扩展的MULTIMOORA方法来确定故障模式的风险优先级。最后，提供了两个案例研究来说明该方法的有效性和实用性。