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研究目标函数、约束条件和设计变量都具有模糊性的结构全局优化问题。根据这三种集合的不同特点，结合模糊数学理论，以不同方式形成它们各自的隶属函数，从而合理地表达了它们的模糊度，特别对目标集给出三种不同的隶属函数表达，分析了它们的各自特点。顾及多目标和多约束的最优性隶属程度，以全局最优的观念，提出了三种多目标、多约束模糊优化的数学模型，形成在各模糊优化数学模型下的结构多目标模糊优化设计方法，并对这些方法进行了比较研究。对平面和空间桁架两种不同结构类型的目标集和约束条件进行了算例分析，验证了这些方法的适用性和可行性。
The global optimization problem of the structure whose objective function, constraints and design variables are fuzzy is studied. According to the different characteristics of the three sets, combined with the theory of fuzzy mathematics, their respective membership functions are formed in different ways so as to reasonably express their ambiguities. Three different subordinate function expressions are given to the target set. Their own characteristics. Taking into account the optimality of multi-objective and multi-constrained membership, three mathematical models of multi-objective and multi-constrained fuzzy optimization are proposed based on the global optimal concept, and a multi-objective fuzzy optimal design of the structure under each fuzzy optimization mathematical model Methods, and a comparative study of these methods. The target sets and constraints of two different types of structures of plane and space truss are analyzed by examples, and the applicability and feasibility of these methods are verified.