基于决策者满意度的区间DEA的求解

Solution of Interval DEA Based on the Satisfaction Degree of Decision-maker

定义了一种反映决策者满意度的区间数序关系,基于此将区间DEA中的区间不等式约束转化为确定型约束。研究了区间DEA模型向确定型DEA模型转化过程中的数据一致性问题。在保持数据一致性的前提下,根据决策者给出的满意度水平,将区间DEA转化为确定型DEA并进行求解。最后给出算例,并总结和分析了决策单元的DEA效率值随满意度水平变化的规律。

An order relation between interval numbers was defined.This order relation expresses the decision-maker's satisfaction degree based on which the inequality constraints of interval DEA can be transformed into constraints with exact coefficients.The data consistency of transforming interval DEA into exact DEA was studied.Holding the consistency interval DEA can be transformed into exact DEA at a given satisfaction degree.By this means we can gain the solution of interval DEA.Finally an example was illustrated and relation between the efficiency score of certain DMU and the given satisfaction degree was concluded through this example.