一种基于粗糙集和层次分析法的综合评价方法研究

Research on comprehensive evaluation method based on rough set and AHP

为了改进由层次分析法中的主观判断矩阵所引起的评价结果准确度的不足,借助于粗糙集理论中的属性依赖度定义,构造出属性间相对依赖的客观判断矩阵,在此基础上将该客观判断矩阵和层次分析法中的主观判断矩阵相结合,提出了一种先确定组合判断矩阵,然后通过计算组合判断矩阵的权重来进行决策的新方法。算例表明该方法能提高决策的准确度,因而是有效和可行的,并且易于在实际应用中推广。

In order to improve the lack of accuracy of evaluation result caused by the judgment matrix belonged to analytic hierarchy process（for short,AHP）,constructed an objective judgment matrix indicating relative dependence among attributes by using definition of attribute dependence in rough set theory.Then proposed a new evaluation method that make decision by calculating the weight of the combinatorial judgment matrix which was formed by combining the objective judgment matrix and the subjective judgment matrix of AHP.Finally,an example suggests the higher decision accuracy,feasibility and effectiveness of this comprehensive method.Moreover,it is easy to be promoted in practical application.