Abstract: Inverse DEA model with grey interval data is researched preliminarily. Wecompare the efficiency interval of the evaluated decision making unit after changing the inputs or outputs with its original efficiency interval. If the credibility degree of the latter equal or greater than the former is equivalent to the credibility degree of the latter less or equal to the former, then it is considered that the efficiency level of the evaluated decision making unit remains unchanged; when the evaluated decision making unit is non DEA effective, the sufficient and necessary conditions for existence of solution to inverse DEA model with grey interval data and the solution expressions are given; when the evaluated decision making unit is weak DEA effective, partial solutions are shown.

Key words: system engineering, inverse DEA Model, grey interval data, DEA effective, credibility degree

摘要： 初步研究了变量为区间灰数的逆DEA模型。变量为区间灰数时,决策单元效率水平保持不变表达为:对决策单元的输入输出值改变前后对应的灰区间效率进行比较,前者大于等于后者与小于等于后者的可信度相等(均等于0.5)。给出了决策单元非DEA有效时,灰区间变量逆DEA模型解存在的充要条件及一般表达式,以及决策单元弱DEA有效时灰变量逆DEA模型的部分解。

关键词: 系统工程, 逆DEA模型, 区间灰数, DEA有效, 可信度