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Reliability Modeling and Analysis of Complex Multi-State Systems based on Weighted Triangular Fuzzy Numbers T-S Fault Tree

Volume 15, Number 6, June 2019, pp. 1662-1671
DOI: 10.23940/ijpe.19.06.p17.1662-1671

Honghua Sun, Hongxia Chen, and Chunwei Li

School of Mechanical Engineering, Inner Mongolia University of Technology, Hohhot, 010051, China

(Submitted on March 26, 2019; Revised on April 16, 2019; Accepted on June 12, 2019)


For the problem of T-S fault tree modeling, the probability of failure of the bottom event is not easy to obtain. Firstly, the index is graded, the expert's scoring matrix is obtained according to the scoring standard, the index weight is obtained by applying the entropy method, and the expert weight is obtained by integrating the experts. Secondly, the fuzzy possibility of different fault states of the bottom event is given by experts according to experience and data, and the fuzzy probability of the bottom event is obtained according to the triangular fuzzy number operation rule. The rule execution possibility fuzzy probability of T-S containing triangular fuzzy numbers is derived. Finally, the analysis is carried out in combination with the screw side screw failure of the explosive.


References: 17

  1. H. Z. Huang, X. Xie, and D. B. Meng, “A New Multidisciplinary Design Optimization Method Accounting for Discrete and Continuous Variables under Aleatory and Epistemic Uncertainties,” International Journal of Computational Intelligence Systems, No. 5, pp. 93-110, 2012
  2. Z. Zhang, C. Jiang, and G. G. Wang, “An Efficient Reliability Analysis Method for Structures with Epistemic Uncertainty using Evidence Theory,” in Proceedings of ASME 2014 International Design Engineering Technical Conference and Computers and Information in Engineering Conference, ASME, New York, 2014
  3. J. Mula, R. Poler, and J. P. Garcia-Sabater, “Material Requirement Planning with Fuzzy Constraints and Fuzzy Coefficients,” Fuzzy Sets and Systems, Vol. 158, No. 7, pp. 783-793, 2006
  4. X. Yang, Y. Liu, and Y. Zhang, “Hybrid Reliability Analysis with Both Random and Probability–Box Variables,” Acta Mechanica, Vol. 226, pp. 1341-1357, 2015
  5. S. Sankararaman and S. Mahadevan, “Likelihood-based Representation of Epistemic Uncertainty due to Sparse Point Data and/or Interval Data,” Reliability Engineering and System Safety, Vol. 96, pp. 814-824, 2011
  6. F. Tonon, “Using Random Set Theory to Propagate Epistemic Uncertainty Through a Mechanical System,” Reliability Engineering and System Safety, Vol. 85, pp. 169-181, 2004
  7. Y. Ben-Haim, “Uncertainty, Probability and Information-Gaps,” Reliability Engineering and System Safety, Vol. 85, pp. 249-266, 2004
  8. X. M. Wang, Y. F. Li, and A. F. Li, “Reliability Modeling and Evaluation for Feedback System based on Continuous Time Bayesian Networks under Fuzzy Numbers,” Journal of Mechanical Engineering, Vol. 51, pp. 167-174, 2015
  9. H. Song, H. Y. Zhang, and C. W. Chan, “Fuzzy Fault Tree Analysis based on T-S Model with Application to INS/GPS Navigation System,” Soft Computing, Vol. 13, No. 1, pp. 31-40, 2009
  10. C. Y. Yao, Y. Y. Zhang, D. N. Chen, and X. F. Wang, “Research on T-S Fuzzy Importance Analysis Methods,” Journal of Mechanical Engineering, Vol. 47, No. 12, pp. 163-169, 2011
  11. C. Y. Yao, Y. Y. Zhang, X. F. Wang, and D. N. Chen, “Importance Analysis Methods on Fuzzy Fault Tree based on T-S Model,” China Mechanical Engineering, Vol. 22, No. 11, pp. 1261-1268, 2011
  12. L. L. Huang, A. L. Yao, and L. M. Yang, “Study on Failure Possibility of Facilities in Gas Transmission Station based on T-S Fuzzy FTA,” Journal of Safety Science and Technology, Vol. 10, No. 8, pp. 144-149, 2014
  13. X. Y. Li and J. P. Qi, “Reliability Analysis of Pantograph System based on T-S Fuzzy Fault Tree,” Journal of Safety and Environment, Vol. 18, No. 1, pp. 33-38, 2018
  14. L. N. Sun, N. Huang, W. Q. Wu, and X. K. Li, “Performance Reliability of Polymorphic Systems by Fuzzy Fault Tree based on T-S Model,” Journal of Mechanical Engineering, Vol. 52, No. 10, pp. 191-198, 2016
  15. C. Y. Yao, D. N. Chen, and B. Wang, “Fuzzy Reliability Assessment Method based on T-S Fault Tree and Bayesian Network,” Journal of Mechanical Engineering, Vol. 50, No. 2, pp. 193-201, 2014
  16. C. Y. Yao, J. Lv, D. N. Chen, and S. Li, “Convex Model T-S Fault Tree and Importance Analysis Methods,” Journal of Mechanical Engineering, Vol. 51, No. 24, pp. 184-192, 2015
  17. L. L. Zhang, Y. X. He, and W. H. Zhai, “The Fault Tree Analysis of Aircraft Hydraulic Brake System based on Hyper-Ellipsoidal Model,” Journal of Mechanical Strength, Vol. 39, No. 4, pp. 842-847, 2017


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