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中国工业与应用数学学会会刊
主管：中华人民共和国教育部
主办：西安交通大学
ISSN 1005-3085  CN 61-1269/O1
工程数学学报

工程数学学报 ›› 2023, Vol. 40 ›› Issue (2): 207-218.doi: 10.3969/j.issn.1005-3085.2023.02.003

• • 上一篇    下一篇

基于Tsallis相对熵的DEMATEL阈值确定研究

方叶祥,   杜和祥,   甘   平   

  1. 南京工业大学经济与管理学院，南京 211816
  • 收稿日期:2021-01-06 接受日期:2021-03-29 出版日期:2023-04-15 发布日期:2023-06-20
  • 基金资助:
    江苏省社会科学基金 (20WTA-002; 15GLB020)；江苏省高校社会科学重点基金 (2017ZDIXM075).

A Threshold Determination Method for DEMATEL Based on Tsallis Relative Entropy

FANG Yexiang,   DU Hexiang,    GAN Ping   

  1. School of Economics and Management, Nanjing Tech University, Nanjing 211816
  • Received:2021-01-06 Accepted:2021-03-29 Online:2023-04-15 Published:2023-06-20
  • Supported by:
    The Social Science Fund Project of Jiangsu Province (20WTA-002; 15GLB020); the Key Social Science Foundation of Universities in Jiangsu Province (2017ZDIXM075).

PDF (PC)

61

摘要：

目前现有的决策试行与评价实验室 (DEMATEL) 中阈值的确定存在着主观随意性强、阈值偏大、阈值求解不稳定等缺陷，为解决上述问题，提出了基于Tsallis相对熵的DEMATEL阈值确定新方法。首先基于质量控制理论对专家打分表进行了筛选。然后利用证据理论融合专家意见，从众影响关系中选出最重要的影响因素，并将其影响关系的大小作为阈值上限。最后利用区间对矩阵元素信息的概率分布进行了定义，并选取Tsallis相对熵最小时对应的分割阈值作为最终阈值。通过与其他方法的对比分析，基于Tsallis相对熵的阈值确定方法能有效去除系统中的冗余信息，且使用时更具有一般性，实例计算也验证了整个阈值确定流程的可操作性。

关键词: 决策试行与评价实验室, 阈值, 质量控制, 证据理论, Tsallis相对熵

Abstract:

At present, there are some defects such as subjective randomness, large threshold value and unstable threshold solution in the existing decision-making and evaluation laboratory. To solve the above problems, the DEMATEL threshold determination based on Tsallis relative entropy is proposed. Firstly, based on the quality control theory, the expert score table is screened. Then the evidence theory is used to fuse the expert opinions, the most important influencing factors are selected from the influence relationship, and the influence relationship is taken as the upper limit of the threshold. Finally, the interval pair matrix element is applied. The probability distribution of the information is defined, and the segmentation threshold corresponding to the minimum relative entropy of Tsallis is selected as the final threshold. Comparing with other methods, the threshold determination method based on Tsallis relative entropy can effectively remove the redundant information in the system, and it is more general in use. The example calculation also verifies the operability of the whole threshold determination process.

Key words: DEMATEL, threshold, quality control, evidence theory, Tsallis relative entropy

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