含有偏好的DEA-BWM评价方法研究

doi:10.12005/orms.2022.0298

运筹与管理 ›› 2022, Vol. 31 ›› Issue (9): 147-152.DOI: 10.12005/orms.2022.0298

含有偏好的DEA-BWM评价方法研究

于娱¹, 朱卫未^2,3, 施琴芬⁴

1.南京审计大学商学院,江苏南京 211815;
2.南京邮电大学高质量发展评价研究院信息产业融合创新与应急管理研究中心,江苏南京 210023;
3.江苏科技大学经济与管理学院,江苏镇江 212003;
4.苏州科技大学商学院,江苏苏州 215009

收稿日期:2020-08-08 出版日期:2022-09-25 发布日期:2022-10-21
通讯作者: 朱卫未(1979-),男,江苏滨海人,教授,博士,博士生导师,研究方向:评价理论与方法。
作者简介:于娱(1989-),男,江苏响水人,副教授,博士,研究方向:评价理论与方法;施琴芬(1963-),女,江苏江阴人,研究员,博士,博士生导师,研究方向:创新评价。
基金资助:
国家自然科学基金资助项目(72171122,71801133,72171124,71771126);江苏省高校哲学社会科学研究重大项目(2020SJZDA051)

DEA-BWMModels with Preference Information

YU Yu¹, ZHU Wei-wei^2,3, SHI Qin-fen⁴

1. School of Business, Nanjing Audit University, Nanjing 211815, China;
2. Research Center of Information Industry Integrated Innovation and Emergency Management, Institute of High-quality Development Evaluation, Nanjing University of Posts and Telecommunications, Nanjing 210023, China;
3. Jiangsu University of Science and Technology, Zhenjiang 212003, China;
4. Business School, Suzhou University of Science and Technology, Suzhou 215009, China

Received:2020-08-08 Online:2022-09-25 Published:2022-10-21

摘要/Abstract

摘要： 针对传统的DEA模型在评估过程中并未考虑决策者对相关指标权重的偏好,将最优最差方法(BWM)嵌入到传统DEA模型中,基于决策者偏好排序的判断矩阵,构建一种含有偏好的DEA-BWM评价方法。首先在保持传统DEA方法的优势基础上,构建了CCR-BWM评价模型对各DMU进行评价。同时考虑为了便于各决策单元在统一权重基础上相互比较,构建了CSW-BWM公共权重模型。另外考虑决策单元自评和互评,构建了NCE-BWM中立型交叉效率。然后采用min-max方法分别将上述三种多目标评价模型转换为单目标线性规划进行求解。最后,选择一组算例对三种模型的有效性与合理性进行验证。

关键词: 数据包络分析, 最优最差方法, 多目标规划, 公共权重, 交叉效率

Abstract: Traditional DEA model fails to take into account decision makers' attitude toward the preferences information about the weights of inputs and outputs. EmbeddingBest Worst Method (BWM) into the DEA model, and DEA-BWM model is proposed which is based on the pairwise comparison vectors with decision maker's preference information. First, maintaining the advantages of traditional DEA method, CCR-BWM model is proposed to measure the performance of DMUs. Then, in order to compare the DMUs on common weights, CSW-BWM model is constructed. Moreover, considering the concept of self-evaluation and peer-evaluation, NCE-BWM model is proposed. Second, the min-max method is employed to transferred the three multi-objective programming models into and a linear programming with single objective. Finally, we also apply our model for a real-life example to verify the validation of proposed models.

Key words: date envelopment analysis, the best and the worst method, multi-objective programming, commonset of weights, cross efficiency

中图分类号:

C934

于娱, 朱卫未, 施琴芬. 含有偏好的DEA-BWM评价方法研究[J]. 运筹与管理, 2022, 31(9): 147-152.

YU Yu, ZHU Wei-wei, SHI Qin-fen. DEA-BWMModels with Preference Information[J]. Operations Research and Management Science, 2022, 31(9): 147-152.

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含有偏好的DEA-BWM评价方法研究

DEA-BWMModels with Preference Information

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