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设计参数内关外联的属性和设计约束的模糊性、相关性和传播性往往导致多目标优化设计中冲突发生和目标间协调性差等现象。针对这些问题,应用模糊数学原理,构造尺度函数,增加附加约束,并基于Pareto解处的冲突矩阵、协同灵敏度分析以及目标重要度阈值的交互选择,建立了基于Pareto解的模糊交互式多目标优化模型。结果表明:提出的模型在兼顾主、客观要求的前提下,可降低目标之间的冲突程度,得到最大的满意度。以实例验证了模型的有效可行性。
The invisibility of design parameters and the ambiguity, relativity and propagation of the attributes and design constraints often lead to the phenomena of conflict and poor coordination between targets in the multi-objective optimization design. In order to solve these problems, the fuzzy mathematics principle, the scale function and the additional constraints are applied. Based on the Pareto solution to the conflict matrix, the collaborative sensitivity analysis and the interactive selection of the target importance threshold, a Pareto-based fuzzy interactive multi-objective optimization model. The results show that the proposed model can reduce the degree of conflict between targets and get the maximum satisfaction under the premise of both the main and objective requirements. An example is given to verify the effectiveness of the model.