Skip to main content
Log in

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

  • Published:
Journal of Intelligent Manufacturing Aims and scope Submit manuscript

Abstract

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5

Similar content being viewed by others

References

  • da Silva, R. R., & Mery, D. (2007a). The state of the art of weld seam radiographic testing: Part I–image processing. Materials Evaluation, 65(6), 643–647.

    Google Scholar 

  • da Silva, R. R., & Mery, D. (2007b). The state of the art of weld seam radiographic testing: Part II–pattern recognition. Materials Evaluation, 65(9), 833–838.

    Google Scholar 

  • Dempster, A. P. (1968). A generalization of Bayesian inference. Journal of the Royal Statistical Society: Series B (Methodology), 30(2), 205–247.

    Google Scholar 

  • Dudewicz, E. J. (1999). Basic statistical methods. In J. M. Juran & A. B. Godfrey (Eds.), Juran’s quality handbook (5th ed., pp. 44.1–44.112). New York: McGraw-Hill.

    Google Scholar 

  • Du, X., Shen, Y., & Wang, Y. (2008). Weld defect classification in ultrasonic testing basing on time-frequency discriminant features. Transactions-China Welding Institution, 29(2), 89–92.

    Google Scholar 

  • Fan, M., Wei, L., He, Z., Wei, W., & Lu, X. (2016). Defect inspection of solder bumps using the scanning acoustic microscopy and fuzzy SVM algorithm. Microelectronics Reliability, 65, 192–197. https://doi.org/10.1016/j.microrel.2016.08.010.

    Article  Google Scholar 

  • Gao, H., Shen, X., Jiang, Z., Yang, H., & Yan, L. (2012). Image subcategory classification based on Dempster–Shafer evidence theory. In International Conference on Computer Science and Service System (pp. 2289–2292). Nanjing: CHN, August 11–13, 2012. https://doi.org/10.1109/CSSS.2012.568

  • Gao, W., & Hu, Y. H. (2014). Real-time X-ray radiography for defect detection in submerged arc welding and segmentation using sparse signal representation. Insight-Non-Destructive Testing and Condition Monitoring, 56(6), 299–307. https://doi.org/10.1784/insi.2014.56.6.299.

    Article  Google Scholar 

  • Gu, K., Zhai, G., Yang, X., & Zhang, W. (2013). A new reduced-reference image quality assessment using structural degradation model. In 2013 IEEE international symposium on circuits and systems (ISCAS). (pp. 1095–1098). Beijing: CHN, May 19–23, 2013. https://doi.org/10.1109/ISCAS.2013.6572041.

  • Hafizan, C., Noor, Z. Z., Abba, A. H., & Hussein, N. (2016). An alternative aggregation method for a life cycle impact assessment using an analytical hierarchy process. Journal of Cleaner Production, 112(4), 3244–3255. https://doi.org/10.1016/j.jclepro.2015.09.140.

    Article  Google Scholar 

  • Han, D., Yang, Y., & Han, C. (2014). Advances in DS evidence theory and related discussions. Control and Decision, 29(1), 1–11. https://doi.org/10.13195/j.kzyjc.2013.0517.

    Article  Google Scholar 

  • Hong, S. J., Lim, W. Y., Cheong, T., & May, G. S. (2012). Fault detection and classification in plasma etch equipment for semiconductor manufacturing \(e\)-diagnostics. IEEE Transactions on Semiconductor Manufacturing, 25(1), 83–93. https://doi.org/10.1109/TSM.2011.2175394.

    Article  Google Scholar 

  • Jiang, H., Liang, Z., Gao, J., & Dang, C. (2016). Classification of weld defect based on information fusion technology for radiographic testing system. Review of Scientific Instruments, 87(3), 035110. https://doi.org/10.1063/1.4943220.

    Article  Google Scholar 

  • Li, T.-S. (2009). Applying wavelets transform, rough set theory and support vector machine for copper clad laminate defects classification. Expert systems with Applications, 36(3 Pt 2), 5822–5829. https://doi.org/10.1016/j.eswa.2008.07.040.

    Article  Google Scholar 

  • Liao, T. W. (2003). Classification of welding flaw types with fuzzy expert systems. Expert Systems with Applications, 25(1), 101–111. https://doi.org/10.1016/S0957-4174(03)00010-1.

    Article  Google Scholar 

  • Liao, T. W. (2009). Improving the accuracy of computer-aided radiographic weld inspection by feature selection. NDT & E International, 42(4), 229–239. https://doi.org/10.1016/j.ndteint.2008.11.002.

    Article  Google Scholar 

  • Lim, T. Y., Ratnam, M. M., & Khalid, M. A. (2007). Automatic classification of weld defects using simulated data and an MLP neural network. Insight-Non-Destructive Testing and Condition Monitoring, 49(3), 154–159. https://doi.org/10.1784/insi.2007.49.3.154.

    Article  Google Scholar 

  • Liu, H., Chen, Y., Peng, X., & Xie, J. (2011). A classification method of glass defect based on multiresolution and information fusion. The International Journal of Advanced Manufacturing Technology, 56(9–12), 1079–1090. https://doi.org/10.1007/s00170-011-3248-z.

    Article  Google Scholar 

  • Maruthur, N. M., Joy, S., Dolan, J., Segal, J. B., Shihab, H. M., & Singh, S. (2013). Systematic assessment of benefits and risks: Study protocol for a multi-criteria decision analysis using the analytic hierarchy process for comparative effectiveness research. F1000Research, 2, 160. https://doi.org/10.12688/f1000research.2-160.v1

  • Movafeghi, A. (2015). Using empirical mode decomposition and a fuzzy algorithm for the analysis of weld defect images. Insight-Non-Destructive Testing and Condition Monitoring, 57(1), 35–39. https://doi.org/10.1784/insi.2014.57.1.35.

    Article  Google Scholar 

  • Mu, W., Gao, J., Jiang, H., Wang, Z., Chen, F., & Dang, C. (2013). Automatic classification of weld defects based on optimal PCA and SVM. Insight-Non-Destructive Testing and Condition Monitoring, 55(10), 535–539. https://doi.org/10.1784/insi.2012.55.10.535.

    Article  Google Scholar 

  • Mu, W., Gao, J., Wang, Z., Jiang, H., Chen, F., & Dang, C. (2013). Radiographic image assessment approach based on human visual system. Journal of Xi’an Jiaotong University, 47(7), 91–95.

    Google Scholar 

  • Nacereddine, N., Hamami, L., & Ziou, D. (2006). Thresholding techniques and their performance evaluation for weld defect detection in radiographic testing. International Journal of Machine Graphics and Vision, 15(3), 557–566.

    Google Scholar 

  • Nacereddine, N., Ziou, D., & Hamami, L. (2013). Fusion-based shape descriptor for weld defect radiographic image retrieval. The International Journal of Advanced Manufacturing Technology, 68(9–12), 2815–2832. https://doi.org/10.1007/s00170-013-4857-5.

    Article  Google Scholar 

  • Pan, J., Jiang, H., Gao, J., & Yang, P. (2011). Condition diagnosis with complex network-time series analysis. In Proceedings of Annual Reliability and Maintainability Symposium, Lake Buena Vista, FL, USA (pp. 1–6), January 24–27, 2011. https://doi.org/10.1109/RAMS.2011.5754502.

  • Pohl, C., & Van Genderen, J. L. (1998). Multisensor image fusion in remote sensing: Concepts, methods and applications. International Journal of Remote Sensing, 19(5), 823–854. https://doi.org/10.1080/014311698215748.

    Article  Google Scholar 

  • Saaty, T. L. (1980). The analytic hierarchy process. New York: McGraw-Hill.

    Google Scholar 

  • Saaty, T. L. (1990). How to make a decision: The analytic hierarchy process. European Journal of Operational Research, 48(1), 9–26. https://doi.org/10.1016/0377-2217(90)90057-I.

    Article  Google Scholar 

  • Salchak, Y., Tverdokhlebova, T., Sharavina, S., & Lider, A. (2016). The classification of weld seam defects for quantitative analysis by means of ultrasonic testing. IOP Conference Series: Materials Science and Engineering, 132, 012027. https://doi.org/10.1088/1757-899X/132/1/012027.

    Article  Google Scholar 

  • Shafer, G. (1976). A mathematical theory of evidence. Princeton: Princeton University Press.

    Google Scholar 

  • Shen, Q., & Gao, J. (2010). Improving the classification accuracy of the weld defect by chaos-search-based feature selection. Insight-Non-Destructive Testing and Condition Monitoring, 52(10), 530–539. https://doi.org/10.1784/insi.2010.52.10.530.

    Article  Google Scholar 

  • Shen, Q., Gao, J., & Li, C. (2010). Automatic classification of weld defects in radiographic images. Insight-Non-Destructive Testing and Condition Monitoring, 52(3), 1–6. https://doi.org/10.1784/insi.2010.52.3.134.

    Article  Google Scholar 

  • Sreedhar, U., Krishnamurthy, C. V., Balasubramaniam, K., Raghupathy, V. D., & Ravisankar, S. (2012). Automatic defect identification using thermal image analysis for online weld quality monitoring. Journal of Materials Processing Technology, 212(7), 1557–1566. https://doi.org/10.1016/j.jmatprotec.2012.03.002.

    Article  Google Scholar 

  • Wang, G., & Liao, T. W. (2002). Automatic identification of different types of welding defects in radiographic images. NDT & E International, 35(8), 519–528. https://doi.org/10.1016/S0963-8695(02)00025-7.

    Article  Google Scholar 

  • You, D., Gao, X., & Katayama, S. (2015). WPD-PCA-based laser welding process monitoring and defects diagnosis by using FNN and SVM. IEEE Transactions on Industrial Electronics, 62(1), 628–636. https://doi.org/10.1109/TIE.2014.2319216.

    Article  Google Scholar 

  • Zahran, O., & Al-Nuaimy, W. (2002). Recent developments in ultrasonic techniques for rail-track inspection. In Proceedings of the Annual Conference of the British Institute of Non-destructive Testing (BINDT 2002) (pp. 55–60). Southport: GBR, September 17–19, 2002.

  • Zahran, O., Kasban, H., EI-Kordy, M., & Abd El-Samie, F. E. (2013). Automatic weld defect identification from radiographic images. NDT & E International, 57, 26–35. https://doi.org/10.1016/j.ndteint.2012.11.005.

    Article  Google Scholar 

  • Zapata, J., Vilar, R., & Ruiz, R. (2010). An adaptive-network-based fuzzy inference system for classification of welding defects. NDT & E International, 43(3), 191–199. https://doi.org/10.1016/j.ndteint.2009.11.002.

    Article  Google Scholar 

  • Zapata, J., Vilar, R., & Ruiz, R. (2012). Automatic inspection system of welding radiographic images based on ANN under a regularisation process. Journal of Nondestructive Evaluation, 31(1), 34–45. https://doi.org/10.1007/s10921-011-0118-4.

  • Zhang, X., Zhu, Z., Xu, J., & Ren, S. (2005). The classification algorithm of defects in weld image based on asymmetrical SVMs. In International Conference on Control Automation 2005 (ICCA ’05) (pp. 1215–1219). Budapest: HUN, June 26–29, 2005. https://doi.org/10.1109/ICCA.2005.1528306

  • Zhu, P., Yin, C., Cheng, Y., Huang, X., Cao, J., Vong, C.-M., et al. (2017). An improved feature extraction algorithm for automatic defect identification based on eddy current pulsed thermography. Mechanical Systems and Signal Processing. https://doi.org/10.1016/j.ymssp.2017.02.045.

Download references

Acknowledgements

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).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Rongxi Wang.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Jiang, H., Wang, R., Gao, Z. et al. Classification of weld defects based on the analytical hierarchy process and Dempster–Shafer evidence theory. J Intell Manuf 30, 2013–2024 (2019). https://doi.org/10.1007/s10845-017-1369-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10845-017-1369-4

Keywords

Navigation