Association Journal of CSIAM
Supervised by Ministry of Education of PRC
Sponsored by Xi'an Jiaotong University
ISSN 1005-3085  CN 61-1269/O1

Chinese Journal of Engineering Mathematics ›› 2023, Vol. 40 ›› Issue (2): 207-218.doi: 10.3969/j.issn.1005-3085.2023.02.003

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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).

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

CLC Number: