考虑随机分布的中立型区间交叉效率研究  

Neutral Interval Cross-Efficiency Model by Considering the Random Distribution

作　　者：黄衍[1] 尤翠玲 何霄 HUANG Yan;YOU Cuiling;HE Xiao(School of Computer and Information,Fujian Agriculture and Forestry University,Fuzhou 350000)

机构地区：[1]福建农林大学计算机与信息学院,福州350000

出　　处：《系统科学与数学》2021年第12期3517-3529,共13页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金青年项目(72001042);福建省自然科学基金项目(2019J01399)资助课题。

摘　　要：文章针对不确定环境下,投入和产出值为区间数的情形,构建中立型区间交叉效率评价模型,计算决策单元在最佳和最差两种生产状态下的区间交叉效率矩阵,通过平均算子将二者集结,得到综合区间交叉效率矩阵.文章进一步考虑评价过程的随机因素将区间交叉效率值延伸成区间交叉随机效率值,利用SN比率值表示评价结果的稳定性,基于稳定性对决策单元赋予相应的权重对综合区间交叉效率矩阵进行集结,计算得到每个决策单元的区间交叉效率评价值.最后,给出算例说明所提出的方法的有效性和合理性.In this paper,under the uncertain environment,the input and output values are expressed by interval numbers,the neutral interval cross efficiency evaluation model is constructed,the interval cross evaluation efficiency matrix of the decisionmaking unit in the best and worst production state is calculated,and the comprehensive interval cross efficiency matrix is obtained by aggregating the two through the average operator.Furthermore,the random factor in the evaluation process is considered,the SN ratio value is used to express the stability of the evaluation results.Based on the stability,the corresponding weights are assigned to the decision-making units,and the comprehensive interval crossover efficiency matrix is aggregated to calculate the interval cross efficiency of each decision-making unit.Finally,an example is given to illustrate the rationality of the method.

关 键 词：数据包络分析 交叉效率 区间数 SN比率 

分 类 号：O211.6[理学—概率论与数理统计] O225[理学—数学]