异构多属性群决策的TOPSIS扩展方法

TOPSIS Extension Method of Heterogeneous Multi-attribute Group Decision-Making

文章针对具有多个属性集的异构多属性群决策问题,提出了一种新的决策方法。首先,将具有不同属性及信息类型的决策矩阵分别按属性划分为若干独立单元,计算不同单元的评价值与相应正、负理想解间的距离。然后,根据专家权重及属性权重集结所得结果,得到不同方案与正、负理想方案间的距离。最后,根据不同方案与理想方案的相对贴近度对方案排序,并通过两个算例验证了该方法的可行性和有效性。

In view of the heterogeneous multi-attribute group decision-making with several attribute sets, this paper proposes a new decision method. Firstly the paper divides decision matrixes with different attributes and information types into several independent cells according to attributes, and works out the distances from each cell＇s evaluation value to the corresponding positive ideal solution and the negative ideal solution. Secondly, the paper computes the distances from each scheme to the positive ideal scheme and the negative ideal scheme according to the aggregated results of expert weight and attributes weight. Finally, the paper ranks the schemes according to the relative closeness coefficient of each scheme to the ideal one, and presents two numerical examples to demonstrate the feasibility and effectiveness of the proposed method.