This research proposes a multi-objective reliability-based topology optimization (MORBTO) for structural design, which considers uncertain structural parameters based on a fuzzy set model. The new technique is established in the form of multi-objective optimization where the equivalent possibilistic safety index (EPSI) is included as one of the objective functions along with mass, and compliance. This technique can reduce complexity due to a double-loop nest problem used previously due to performing single objective optimization. The present technique can accomplish within one optimization run using a multi-objective approach. Two design examples are used to demonstrate the present technique, which have the objectives as structural mass and compliance with the constraint of structural strength. The results show the proposed technique is effective and simple compared to previous techniques.

该研究提出了一种基于多目标可靠性的结构优化拓扑优化算法（MORBTO），该模型基于模糊集模型考虑了不确定的结构参数。以多目标优化的形式建立了新技术，其中将等效可能性安全指数（EPSI）与质量和合规性一起作为目标函数之一。由于先前由于执行单目标优化而使用了双循环嵌套问题，因此该技术可以降低复杂度。本技术可以使用多目标方法在一次优化运行中完成。使用两个设计示例来演示本技术，其目标是结构质量和符合结构强度的约束。