机械结构的多目标模糊优化方法

结构设计的初始阶段含有大量的模糊信息，设计概念的产生，设计参数的取值，设计目标的评介、约束条件的允许范围以及工况等实际上都含有不同程度的模糊性，提出了处理多目标模糊优化中目标与约束权重的向量水平截集法和权重最大最小法，拓展了向量水平截集法与最大最小法的应用范围。

Multiobjective fuzzy optimization of mechanical structures

There is a vast amount of fuzzy information in the primary stage of structural design, different degree of fuzziness included in generation of design concepts, range of the design variables, evaluation of the design objects ,allowable range of the constraints and load in practice. Vector tevel Cut Method and Weight Max - Min Method are proposed for weight of the objective functions and constraint functions easily, the ordinary Level Cut Method and Max - Min Method for symmetrical fuzzy optimization are extended. The effect of the membership functions of the objectives and constraints on the optimal result are investigated, importance of individual object is treated efficiently by nonlinear membership functions in Weight Max - Min Method. The effectiveness of these methods is illustrated with the fuzzy optimal design of a three - bar truss for minimum weight and hanimum deflection.