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Reliability evaluation of a multi-state system based on interval-valued triangular fuzzy Bayesian networks

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Abstract

Considering fuzziness of the fuzzy subset boundary value for interval-valued variables are introduced into fuzzy Bayesian networks. A reliability analysis method based on an interval-valued triangular fuzzy Bayesian network is proposed in this paper. It expanded the application from a two-state system to a multi-state system, and assessed the reliability evaluation of the multi-state system. First, the interval-valued variables were introduced into a triangular fuzzy subset, and an interval-valued triangular fuzzy subset was built. Second, the algorithm of the defuzzified leaf node failure probability, interval-valued fuzzy posterior probability and interval-valued fuzzy importance were given based on the interval-valued triangular fuzzy subset and features of a Bayesian network. It was proved that the proposed method was feasible by comparing with T-S fuzzy importance analysis methods and fuzzy Bayesian network analysis methods. Finally, a fuzzy reliability assessment of a digital protection system based on an IEC61850 standard seamless real-time communication system was conducted by the proposed method.

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References

  • Andrea B, Franco T (2012) Mining Bayesian networks out of ontologies [J]. J Intell Inf Syst 38(2):507–523

    Article  Google Scholar 

  • Bhattacharjya D, Deleris LA (2012) From reliability block diagrams to fault tree circuits [J]. Decis Anal 9(2):128–137

    Article  MathSciNet  Google Scholar 

  • Cai B, Liu Y, Liu Z et al (2012) Using Bayesian networks in reliability evaluation for subsea blowout preventer control system [J]. Reliab Eng Syst Saf 108:32–41

    Article  Google Scholar 

  • Chen D, Yao C (2012) Reliability analysis of multi-state system based on fuzzy Bayesian networks and application in hydraulic system [J]. J Mech Eng 48(16):166–183

    Article  Google Scholar 

  • He M, Quan J, Zheng X et al (2011) Network reliability evaluation based on binary decision diagrams [J]. Control Decis 26(1):32–36

    Google Scholar 

  • Hiraoka Y, Yamamoto K, Murakami T et al (2012) Method of computer-aided FTA (fault tree analysis) in reliability design and development; using knowledge management based on quantity dimension indexing and block diagram [J]. SAE Int J Commer Veh 5(1):72–82

    Article  Google Scholar 

  • Jensen FV (1996) An introduction to Bayesian networks [M]. Springer Press, New York

    Google Scholar 

  • Khakzad N, Khan F, Amyotte P (2011) Safety analysis in process facilities: comparison of fault tree and Bayesian network approaches [J]. Reliab Eng Syst Saf 96(8):925–932

    Article  Google Scholar 

  • Kumar M, Yadav SP (2012) The weakest t-norm based intuitionistic fuzzy fault-tree analysis to evaluate system reliability [J]. ISA Trans 51(4):531–538

    Article  Google Scholar 

  • Langseth H, Portinale L (2007) Bayesian networks in reliability [J]. Reliab Eng Syst Saf 92(1):92–108

    Article  Google Scholar 

  • Li C, Chen X, Yi X (2010) Reliability optimization of multi-state system in presence of common cause failures [J]. China Mech Eng 21(2):155–159

    Article  Google Scholar 

  • Lime D, Martinez C, Roux OH (2013) Shrinking of time Petri nets [J]. Discret Event Dyn Syst 23(4):419–438

    Article  MathSciNet  MATH  Google Scholar 

  • Lu Y, Li Q, Zhou Z (2010) Safety risk prediction of subway operation based on fuzzy Bayesian network [J]. Dongnan Daxue Xuebao (Ziran Kexue Ban)/J Southeast Univ (Nat Sci Ed) 40(5):1110–1114

    Google Scholar 

  • Lu Y, Li X, Wang Y (2013) Reliability block diagram applied in electronic pressure gauge reliability analysis [J]. J Detect Control 35(4):44–48

    Google Scholar 

  • Rollón E, Larrosa J (2006) Bucket elimination for multiobjective optimization problems [J]. J Heuristics 12(4–5):307–328

    Article  MATH  Google Scholar 

  • Shi G (2013) A survey on binary decision diagram approaches to symbolic analysis of analog integrated circuits [J]. Analog Integr Circuits Signal Process 74(2):331–343

    Article  Google Scholar 

  • Shifang Z (2013) Extended TOPSIS method for dynamic interval-valued triangular fuzzy multi-attribute decision making [J]. Math Pract Theory 43(18):183–188

    MathSciNet  MATH  Google Scholar 

  • Shu Y, Liu Y, Peng X et al (2010) Survey on object-oriented Petri net modeling [J]. Comput Eng Des 31(15):3432–3435

    Google Scholar 

  • Song H, Zhang HY, Chan CW (2009) Fuzzy fault tree analysis based on T-S model with application to INS/GPS navigation system [J]. Soft Comput 13(1):31–40

    Article  Google Scholar 

  • Suo B, Zeng C, Cheng Y (2011) Reliability analysis based on evidence theory and Bayesian networks method [J]. Syst Eng Electron 33(10):2343–2347

    Google Scholar 

  • Xiong X, Tan J, Lin X (2012) Reliability analysis of communication systems in substation based on dynamic fault tree [J]. Proc CSEE 32(34):135–141

    Google Scholar 

  • Yao C, Chen D, Wang B (2013) Fuzzy reliability assessment method based on T-S fault tree and Bayesian network [J]. J Mech Eng 49(6):89–97

    Article  MathSciNet  Google Scholar 

  • Yin X, Qian W, Xie L (2009) Multi-state system reliability modeling and assessment based on Bayesian networks [J]. J Mech Eng 45(2):206–212

    Article  Google Scholar 

  • Zhou J, Zhou Z, Peng B et al (2009) Research on probabilistic safety assessment method of multi-state systems based on BDD [J]. J Syst Eng 24(3):380–384

    Google Scholar 

Download references

Acknowledgments

Thanks to Dr. Edward C. Mignot, Shandong University, for linguistic advice.

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Authors and Affiliations

  1. Shandong Jianzhu University, Jinan, China

    Zhang Ruijun, Zhang Lulu, Wang Nannan & Wang Xiaowei

  2. Key Laboratory of Mechanical Engineering & Innovation Technology in Universities of Shandong, Shandong Jianzhu University, Jinan, China

    Zhang Ruijun & Wang Xiaowei

Authors
  1. Zhang Ruijun
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  2. Zhang Lulu
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  3. Wang Nannan
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  4. Wang Xiaowei
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Correspondence to Zhang Ruijun.

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Ruijun, Z., Lulu, Z., Nannan, W. et al. Reliability evaluation of a multi-state system based on interval-valued triangular fuzzy Bayesian networks. Int J Syst Assur Eng Manag 7, 16–24 (2016). https://doi.org/10.1007/s13198-015-0335-9

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  • DOI: https://doi.org/10.1007/s13198-015-0335-9

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