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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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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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