| 谭莹莹,郑婷婷,郭冬.基于到理想和非理想前沿线偏差的交叉效率评价[J].安徽建筑大学学报,2023,31(2):55-62 |
| 基于到理想和非理想前沿线偏差的交叉效率评价 |
| Cross-efficiency Evaluation Based on the Deviation from Ideal Frontier and Anti-ideal Frontier |
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| DOI： |
| 中文关键词: 交叉效率 理想前沿线 非理想前沿线 |
| 英文关键词: cross-efficiency ideal virtual frontier anti-ideal virtual frontier |
| 基金项目:教育部人文社科基金项目 （20YJC630029）；安徽省自然科学基金面上项目（2008085MG228、1808085WA17）；安徽建筑大学博士科研启动基金项目（2019QDZ09、2018QD22） |
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| 中文摘要: |
| 以理想决策单元和非理想决策单元定义理想前沿线和非理想前沿线，以所有被评决策单元越接近理想前沿线或（和）越远离非理想前沿线为标准建立三类模型，分别计算三类模型下各决策单元的交叉效率。算例结果表明，三类模型的交叉效率均处于经典的激进型和仁慈型交叉效率之间，基于非理想前沿线模型的交叉效率与经典交叉效率存在明显差距，基于理想前沿线与基于二者两类模型的交叉效率与经典交叉效率接近。基于二者模型的交叉效率在基于理想前沿线与基于非理想前沿线交叉效率之间。 |
| 英文摘要: |
| The ideal virtual frontier and anti-ideal virtual frontier are defined by the ideal decision making units and the anti-idealdecision making units. Three kinds of models are constructed based on the criterion that all decision making units should be closer to theideal virtual frontier or（and） far away from the anti-ideal virtual frontier and the cross-efficiencies for all decision making units arecalculated based on three models. A numerical example shows that the cross-efficiencies captured by these three models are all betweenthose from aggressive formulation and benevolent formulation. The model based on the anti-ideal virtual frontier keeps away from theclassical cross-efficiency while the models based on the ideal virtual frontier and combining the two are closer to the classical crossefficiency. The efficiency score based on the two is between the efficiency scores based on the ideal and anti-ideal virtual frontiers. |
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