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利用公共权重和理想决策单元,提出了一种对决策单元(DMUs)进行排序的方法。该方法分为两个阶段:在第一阶段,采用二分法计算出所有决策单元都满足的效率值下界,并证明了该下界是唯一的;在第二阶段,在满足所有DMUs都满足效率下界的前提下,利用理想决策单元,建立了一个多目标规划模型,采用分层序列法计算出所有决策单元都能接受的公共权重集,这些权重值在已知目标函数重要程度时是唯一的,最后通过定义排序规则,得到所有DMUs的排序。数值算例验证了本文方法的有效性和可行性。
Using public weights and ideal decision-making units, a method of sorting decision-making units (DMUs) is proposed. This method is divided into two stages: In the first stage, the dichotomy is used to calculate the lower bound of the efficiency value that all decision-making units satisfy, and the uniqueness of the lower bound is proved. In the second stage, , A multi-objective programming model is established by using the ideal decision unit, and the common weight set accepted by all decision units is calculated by the hierarchical sequence method. These weight values are unique when the importance of the objective function is known. Finally, by defining the collation, get the ranking of all DMUs. Numerical examples demonstrate the effectiveness and feasibility of the proposed method.