运筹学学报 >
2021 , Vol. 25 >Issue 4: 58 - 68
DOI: https://doi.org/10.15960/j.cnki.issn.1007-6093.2021.04.005
基于公共权重的区间DEA效率评价及其排序方法研究
收稿日期: 2019-09-18
网络出版日期: 2021-12-11
基金资助
国家自然科学基金(71701050);国家自然科学基金(71804024);国家自然科学基金(71801050);福建省社科研究基地重大研究项目(FJ2020MJDZ016);福建省自然科学基金(2016J05171);福建省自然科学基金(2021J01568);福州大学“旗山学者”计划项目(GXRC201807)
A common-weights interval DEA approach for efficiency evaluation and its ranking method
Received date: 2019-09-18
Online published: 2021-12-11
蓝以信, 温槟檐, 王应明 . 基于公共权重的区间DEA效率评价及其排序方法研究[J]. 运筹学学报, 2021 , 25(4) : 58 -68 . DOI: 10.15960/j.cnki.issn.1007-6093.2021.04.005
In order to solve the inconsistency of the evaluation scale in efficiency evaluation in interval data envelopment analysis, this paper proposes a common weight interval DEA model based on the target by maximizing the sum of the upper bound efficiency and the lower bound efficiency of all decision-making units (DMUs). Thus, our approach not only makes the interval efficiency of all DMUs being comparable, but also ensures that the upper bound efficiency and the lower bound efficiency are evaluated in the same scale. To rank the interval efficiencies completely a new approach which is based on the defined possibility degree formula in considering of the decision makers' interval preference is proposed. Finally, an example of measuring the industrial efficiencies in 11 coastal provinces of China is investigated to illustrate the effectiveness and the usefulness of our approaches.
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