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为解决离散变量结构优化客观追求的应该是“满意解”的问题,提出离散变量模糊优化的模型,构造了离散变量模糊优化的对称解法.把离散组合形算法作为组合形操作算子融合到遗传算法中,构造一种离散变量结构优化算法-组合形遗传算法.在建立的对称模糊优化模型中,利用交模糊判决,将模糊优化问题转化成非模糊优化问题来求解,然后运用组合形遗传算法进行非模糊优化问题的求解.最后通过算例证明该方法具有良好的效果,为工程结构优化设计提供具有参考价值的理论依据.
In order to solve the problem that objective pursuit of discrete variable structure optimization should be “satisfactory solution”, a fuzzy optimization model of discrete variables is proposed, and a symmetrical solution of fuzzy optimization of discrete variables is constructed. The discrete combination algorithm is used as a combinatorial operation operator fusion In the genetic algorithm, a structural optimization algorithm of discrete variables - combinatorial genetic algorithm (GA) is constructed.In the established symmetric fuzzy optimization model, the fuzzy optimization problem is transformed into a non-fuzzy optimization problem by using the fuzzy decision, and then the combination shape Genetic algorithm to solve the problem of non-fuzzy optimization.Finally, an example is given to show that this method has a good effect and provides a theoretical basis for the optimal design of engineering structures with reference value.