区间MDEA模型及其求解

将一种改进的DEA模型-MDEA模型1]拓展到区间投入产出情形,得到区间MDEA模型.定义了一种反映决策者满意度的区间数序关系,当决策者给定一满意度水平,将区间MDEA中的区间不等式约束转化为确定型约束.研究了该满意度水平的另一层含义,即决策者对除被评价决策单元外的其它决策单元的偏好程度,据此将区间MDEA中的区间等式约束和区间目标函数转化为确定型.最终将区间MDEA转化为某一满意度水平下的确定型MDEA,并进行求解.最后给出算例分析.

Interval MDEA and Its Solution

When the input and output data of the modified DEA-MDEA~1] are interval numbers, the MDEA model was extended to interval MDEA. An order relation between interval numbers which can expresses the decisionmaker′s satisfaction degree was defined. Based on this the inequality constraints of interval MDEA can be transformed into exact constraints at a certain satisfaction degree. Another meaning of the satisfaction degree was then studied, viz. the preference to the DMUs except the DMU being evaluated. Based on this the equality constraints and objective function of interval MDEA can be transformed into exact ones. As a result, the interval MDEA was transformed into an exact MDEA at a certain satisfaction degree of the decisionmaker and we can gain its solution. Finally an example was given.