基于密度加权平均算子的交叉效率集结方法  

A Cross-efficiency Aggregation Method Based on Density Weighted Average Operator

作　　者：范建平[1] 张晓杰[1] 吴美琴[1] Fan Jianping;Zhang Xiaojie;Wu Meiqin(School of Economics and Management,Shanxi University,Taiyuan 030006,China)

机构地区：[1]山西大学经济与管理学院,太原030006

出　　处：《统计与决策》2022年第3期60-64,共5页Statistics & Decision

摘　　要：针对数据包络分析(DEA)交叉效率模型的集结问题,文章提出了一种基于密度加权平均算子的交叉效率集结方法。首先通过改进的交叉效率评价模型得到交叉效率矩阵;其次考虑到由于统计误差等因素导致的数据误差和交叉效率评价值分布的疏密程度,结合密度加权平均算子,分别将各决策单元的交叉效率评价值集结为一个区间值;然后引入基于可能度的优序数区间排序方法对所有决策单元进行综合排序;最后通过算例证明所提方法是合理且可行的。Aiming at the aggregation of cross-efficiency model of data envelopment analysis(DEA), this paper proposes a cross-efficiency aggregation method based on density weighted average operator. Firstly, the paper obtains the cross-efficiency matrix by an improved cross-efficiency evaluation model, and then considering the data error caused by statistical error and the density of the cross-efficiency evaluation value distribution, aggregates the cross-efficiency evaluation value of each DMU into an interval value by combining the density weighted average operators. Next, the method of ordinal interval ranking based on probability degree is introduced to comprehensively rank all DMUs. Finally, an example is given to prove that the proposed method is reasonable and feasible.

关 键 词：数据包络分析 交叉效率 密度加权平均算子 可能度 

分 类 号：N945.16[自然科学总论—系统科学]