A multi-objective fuzzy optimization model for designing the box-shaped telescopic boom of railway crane was proposed, with the design of the box-shaped telescopic boom of N1002G railway crane for example. In which, the sectional geometric parameters of the box-shaped telescopic boom were considered as design variables. The strength, stiffness, local stability and geometric constraints, with fuzzy features were considered as constraints. The smallest total weight of the box-shaped telescopic boom and the largest overall stability these two contradictory requirements were considered as the objective functions. The multi-objective fuzzy optimization model was translated into a general multi-objective optimization model with optimization vector level sets method. Then, the genetic algorithm NSGA-Ⅱ was used to get the Pareto solution set. Example verification shows that Pareto solution of the target space can be obtained by the established model and solution algorithm. The structural weight decreases and the overall stability increases, or vice versa. If necessary, the designer can choose the appropriate structural weight and overall stability for the design scheme.%以N1002G型铁路起重机箱形伸缩臂设计为例,以箱形伸缩臂的截面几何参数为设计变量,以箱形伸缩臂的结构重量、整体稳定性这2个相互制约的要求为目标函数,以强度、刚度、局部稳定性和几何限制为模糊约束条件,建立铁路起重机箱形伸缩臂设计的多目标模糊优化模型.应用最优水平截集法,将该多目标模糊优化模型转化为多目标普通优化模型,并应用遗传算法NSGA-Ⅱ求解.实例验证表明:采用建立的模型和求解算法,可以得到目标空间下的Pareto解；结构重量和整体稳定性是此消彼长的关系,设计者可以根据需要,选择合适的结构重量和整体稳定性作为设计方案.
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