基于多色集合的产品概念设计建模与方案优选方法研究

Product Information Modeling Based on Polychromatic Sets and Scheme Optimum Selection for Conceptual Design

针对目前概念设计产品求解方法的不足,采用多色集合理论建立概念设计产品信息模型,实现概念设计产品模型的形式化表达。利用多色集合统一颜色与个人颜色等概念,建立产品模型中表达约束关系的布尔围道矩阵,实现从用户需求到不同产品方案组合的推理过程。针对概念设计方案优选问题,采用模糊理论将方案评价信息量化,利用层次分析法确定评价指标权重,提出一种基于模糊层次分析法和遗传算法的方案优选方法。以隔振系统概念设计为例,验证了文中概念设计产品信息建模和方案评价优选方法的有效性。

aimed at the deficiency of approach for solving product conceptual design presently,the polychromatic sets theory was applied to establish a conceptual design product information model. According to the unified colors and individual colors,the constraint relationship in the product model can be obtained by the boolean matrixes which help to realize the deduction from requirements to different product scheme combinations. To solve the conceptual design scheme evaluation problem,a decision-making method was put forward based on fuzzy analytic hierarchy process（ AHP） and genetic algorithm（ GA）. This approach was designed to convert fuzzy information into numerical value by combining the principles of fuzzy mathematic and information axiom,and use AHP to determine the evaluation index weights. An example of vibration isolation system conceptual design was provided to illustrate the feasibility of the above product information model and scheme optimum selecting methods.