Classification of weld defects based on the analytical hierarchy process and Dempster–Shafer evidence theory

  • Hongquan Jiang
  • Rongxi Wang
  • Zhiyong Gao
  • Jianmin Gao
  • Hongye Wang


Weld quality management is currently one of the most concerning issues in the manufacturing industry. In this paper, a novel method is proposed for weld defect classification based on the analytical hierarchy process (AHP) and Dempster–Shafer (DS) evidence theory. First, to overcome the problem of traditional DS methods, which weigh every feature equally in classification, a method is proposed based on AHP to calculate the weight of features (WF) of a weld defect, which can then be utilized in classification. Then, an improved method based on DS evidence theory is presented to improve the accuracy of classification, which includes calculation of the standard value of features based on frequency histograms analysis and an improved Dempster’s rule for combination based on WF. A case study on the classification of steam turbine weld defects is provided to illustrate and evaluate the proposed techniques. The results show that the proposed method increases the correct recognition rate of classification with limited samples, making DS evidence theory applicable to weld defect classification.


Radiographic testing Classification Analytical hierarchy process (AHP) Dempster–Shafer (DS)  Evidence theory 



The authors sincerely thank the referees for their helpful suggestions and comments, which greatly improved the quality of the paper. This research was supported by the National Natural Science Foundation of China (Grant No. 51375375).


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© Springer Science+Business Media, LLC 2017

Authors and Affiliations

  • Hongquan Jiang
    • 1
  • Rongxi Wang
    • 1
    • 2
  • Zhiyong Gao
    • 1
  • Jianmin Gao
    • 1
  • Hongye Wang
    • 1
  1. 1.State Key Laboratory for Manufacturing System EngineeringXi’an Jiaotong UniversityXi’anChina
  2. 2.Institute of Manufacturing Systems and Quality Engineering in the Department of Mechanical EngineeringXi’an Jiaotong UniversityXi’anChina

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