考虑决策者时间偏好的多时期综合效率评价

蓝以信,王应明

系统科学与数学 ›› 2014, Vol. 34 ›› Issue (3) : 257-272.

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系统科学与数学 ›› 2014, Vol. 34 ›› Issue (3) : 257-272. DOI: 10.12341/jssms12291
论文

考虑决策者时间偏好的多时期综合效率评价

    蓝以信,王应明
作者信息 +

EVALUATION OF MULTIPERIOD AGGREGATIVE EFFICIENCY IN CONSIDERATION OF DECISION MAKER’S TIME PREFERENCE

    LAN Yixin, WANG Yingming
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摘要

对多时期综合效率评价中缺乏考虑决策者时间偏好的问题,将两种时序加权算子引入时序DEA中以获取决策单元在多个时期内的综合效率评价结果.利用时序加权算子集结所得的效率融入了决策者的时间偏好,不仅可以较好地实现对各决策单元的客观合理评价,而且也可以用于衡量决策单元在多个时期内效率前沿的移动情况.
此外还证明了谢艾国等人的第一种排序方法在特定的条件下等价于简单算术加权平均集结法.最后,以一个算例说明了考虑决策者时间偏好在多时期综合效率评价中的有效性和实用性.

Abstract

Little attention has been paid to the aggregation process of multiperiod efficiencies by considering the decision maker's time preference. This paper introduces two time ordered weighted perators to time-series data envelopment analysis (DEA) to obtain multiperiod aggregative efficiency. This idea allows the decision maker to take into account time preference in the final efficiency evaluation, and the results are more scientific and reasonable. The aggregated efficiency of the DMU under different time preferences can be used to account for the changing patterns of efficiency frontier over multiple periods. In addition, we prove that the first method proposed by Xie, et al. for ranking DMUs in time-series DEA is equal to the arithmetic weighted average method under special
condition.  A numerical example shows the effectiveness and usefulness of making use of time preference in evaluating multiperiod aggregative efficiency.

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蓝以信,王应明. 考虑决策者时间偏好的多时期综合效率评价. 系统科学与数学, 2014, 34(3): 257-272. https://doi.org/10.12341/jssms12291
LAN Yixin, WANG Yingming. EVALUATION OF MULTIPERIOD AGGREGATIVE EFFICIENCY IN CONSIDERATION OF DECISION MAKER’S TIME PREFERENCE. Journal of Systems Science and Mathematical Sciences, 2014, 34(3): 257-272 https://doi.org/10.12341/jssms12291
中图分类号: 90B50   
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