基于粗糙数和信息熵的产品设计方案灰色关联评估模型

Grey Relation Evaluation Model of Product Design Program Based on Rough Number and Information Entropy

针对复杂产品方案设计中指标属性信息的不完全性和不确定性,研究了一种基于粗糙数和信息熵理论的灰色关联评估模型。首先通过引入粗糙数序列的范数实现粗糙数评估矩阵的规范化处理,并利用熵权对指标属性值进行权重集结,然后构建理想最优特征序列,并借助基于信息还原算子的粗糙相似关联度来获得最优评估方案。信息熵赋权可减少主观赋权产生的人为因素影响,信息还原算子可避免评估过程中的信息失真现象。最后通过工程机械产品的实例,验证了该评估模型的有效性和实用性,便于对复杂产品的方案设计进行评估和优选。

Due to the incompleteness and uncertainty of index attributes in the scheme design of complex products, a grey relation evaluation model based on rough number and information entropy is proposed in this paper. First, the rough number＇ s evaluation matrix can be normalized by adopting the norm of the rough number sequence, and the index attribute value can be weight assembled by means of entropy weight. Then, after the building of ideal optimum feature sequence, the optimum evaluation scheme can be obtained in the whole system by virtue of rough similarity relevancy based on the information reduction operator. Information entropy weight can reduce the impact of man - made factors due to subjective weight, and information reduction operator can avoid the information distortion in the course of evaluation. Finally, an example of construction machinery products is adopted to validate the effectiveness and practicability of the proposed model. Morevoer, this model can be used to evaluate and choose scheme designs of complex products.