基于TOPSIS的三支决策评价模型
Three-Way Decision Evaluation System Based on TOPSIS

逼近理想点排序（Technique for order performance by similanrity to ideal solution，TOPSIS）是一种典型的多目标决策评价方法，被广泛应用在供应商选择等问题中。在某些针对生产的评价中，评价对象较多而且对象之间具有层级关系，决策者更关注对象之间的相对类别关系，即：好、中或是差。然而，针对这类问题的评价模型较为缺乏。因此，本文提出一种新的基于TOPSIS的三支决策评价模型。首先，选用层次分析法（Analytic hierarchy process，AHP）计算权重；然后，为了解决对象之间的层级关系，在评价之前增加了一个预分类过程；最后，使用改进的TOPSIS方法对对象进行三支评价。案例分析结果显示本文提出的方法是有效的。
Technique for order performance by similarity to ideal solution (TOPSIS) is one of the multi-attribute decision-making methods and is used to solve supplier selections and other questions generally. In the process of evaluation focusing on production, there are many evaluation objects and hierarchical structures among objects. Decision makers pay more attention to the classification of objects, namely:good, medium or poor, though the evaluation systems for above problem are very insufficient. Therefore, this paper proposes a new three-way decision evaluation system based on TOPSIS. First, the analytic hierarchy process(AHP) method is used to calculate the weight of attributes. Then, to solve the hierarchy relations among objects, a preliminary classification is added before the process of evaluation. Finally, the improved TOPSIS method is used to evaluate objects. Case analysis result shows that the proposed method is effective.