机械多目标灰色与模糊优化设计方法

Mechanical multi-objective optimal design methods based on grey and fuzzy theory

为了从若干有效解中选择出最有效解,将灰色系统理论中的灰色关联分析法、灰色聚类法和模糊数学中的相似优先比法引入多目标优化设计,分别给出了选择最有效解的思想和步骤。以蜗杆传动多目标优化设计为例,用改进遗传算法求得该问题的理想解和若干有效解,分别利用灰色关联分析法、灰色聚类法和相似优先比法从这些有效解中确定出最有效解,并排出其优劣次序。求解结果验证了所提方法的有效性和可行性。

To find out the most effective solution from the solution set available,the grey relational analysis method,grey clustering method and similarity priority ratio method were introduced into the multi-objective optimal design,and the ideas and procedure were given respectively. Taking a multi-objective optimal design of worm transmission as the example,the ideal solution and several effective solutions were obtained with an improved genetic algorithm,and then the grey relational analysis method,grey clustering method and similarity priority ratio method were used to order the effective solutions according to the performance and determining the most effective one. The process and result verified the effectiveness and feasibility of the proposed methods.