基于前景理论的交叉效率集结方法  

Cross-Efficiency Aggregation Method Based on Prospect Theory

作　　者：陈磊 王应明 CHEN Lei;WANG Yingming(School of Economics & Management,Fuzhou University,Fuzhou 350116)

机构地区：[1]福州大学经济与管理学院,福州350116

出　　处：《系统科学与数学》2018年第11期1307-1316,共10页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金(71801050;71801048);福建省社会科学规划项目(FJ2018C014)资助课题

摘　　要：传统交叉效率方法往往采用相加平均的方式来集结效率,这不仅缺乏足够的理论依据,而且导致大量决策信息的遗失.针对这个问题,文章引入前景理论来研究决策者面临收益和损失时的主观价值感受,并分别在乐观型、中立型和悲观型决策偏好的引导下构建相应的效率集结方法.随后,引入距离熵的概念来衡量不同决策单元视角下评价结果的可靠性,以此修正交叉效率集结结果.该集结方法充分考虑了决策者的主观偏好,并在其引导下最大程度地保留了决策信息,从而获得最符合现实决策需求的效率评价结果.最后,通过案例分析来验证该方法的有效性.The additive mean method is always applied to aggregate efficiency in the traditional cross efficiency method. However, this method not only lacks sufficient theoretical basis, but also leads to the loss of a lot of decision information. Therefore, in this paper, the prospect theory is introduced to study the subjective value perception of the decision-makers when they face the benefits and losses;and then the efficiency aggregation methods are constructed based on the guidance of optimistic, neutral and pessimistic decision preference, respectively. Furthermore, the concept of distance entropy is introduced to measure the reliability of the evaluation results from the perspective of different decision-making units, so as to modify the results of the cross efficiency aggregation. The aggregation methods proposed in this paper take the subjective preferences of decision-makers into full consideration, and preserve decision information to the largest extent, so as to get the most effective evaluation results that meet the needs of realistic decision-making. Finally, the effectiveness of these methods is verified by case analysis.

关 键 词：数据包络分析 决策偏好 前景价值 距离熵 交叉效率集结 

分 类 号：O225[理学—运筹学与控制论]