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

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.

[1]  Xingtian Liu.  Influence of Excitation Amplitude and Load on the Characteristics of Quasi-zero Stiffness Isolator , 2013 .

[2]  Javier Larrosa,et al.  Bucket elimination for multiobjective optimization problems , 2006, J. Heuristics.

[3]  Mohit Kumar,et al.  The weakest t-norm based intuitionistic fuzzy fault-tree analysis to evaluate system reliability. , 2012, ISA transactions.

[4]  Xiaowei Yin.  Multi-state System Reliability Modeling and Assessment Based on Bayesian Networks , 2009 .

[5]  Helge Langseth,et al.  Bayesian networks in reliability , 2014, Reliab. Eng. Syst. Saf..

[6]  Didier Lime,et al.  Shrinking of Time Petri nets , 2013, Discret. Event Dyn. Syst..

[7]  V. Ebrahimipour,et al.  Reliability Optimization of Multi-State Dependent-Independent Systems , 2010 .

[8]  Tao Gao,et al.  Development of Conductive Photopolymer Resin Bond Dicing Blade , 2009 .

[9]  Yonghong Liu,et al.  Using Bayesian networks in reliability evaluation for subsea blowout preventer control system , 2012, Reliab. Eng. Syst. Saf..

[10]  Tamotsu Murakami,et al.  Method of Computer-Aided FTA (Fault Tree Analysis) in Reliability Design and Development; Using Knowledge Management Based on Quantity Dimension Indexing and Block Diagram , 2012 .

[11]  Yonghua Zhang.  Comparative Analysis of Thrust Generation of Biomimetic Bluespotted Stingray Pectoral Fin under Two Undulating Propulsion Patterns , 2012 .

[12]  Nima Khakzad,et al.  Safety analysis in process facilities: Comparison of fault tree and Bayesian network approaches , 2011, Reliab. Eng. Syst. Saf..

[13]  Li Jun,et al.  Reliability analysis based on evidence theory and Bayesian networks method , 2011 .

[14]  Finn Verner Jensen,et al.  Introduction to Bayesian Networks , 2008, Innovations in Bayesian Networks.

[15]  P. K. Varshney,et al.  Network Reliability Evaluation Using Probability Expressions , 1986, IEEE Transactions on Reliability.

[16]  Léa A. Deleris,et al.  From Reliability Block Diagrams to Fault Tree Circuits , 2012, Decis. Anal..

[17]  Zhang Shi-fan.  Extended TOPSIS Method for Dynamic Interval-valued Triangular Fuzzy Multi-Attribute Decision Making , 2013 .

[18]  Dhominick Pagulayan,et al.  Reliability Analysis Based on Field Data , .

[19]  Luigi Portinale,et al.  Bayesian networks in reliability , 2007, Reliab. Eng. Syst. Saf..

[20]  He Ming.  Network reliability evaluation based on binary decision diagrams , 2011 .

[21]  Lu Yanlin.  Reliability Block Diagram Applied in Electronic Pressure Gauge Reliability Analysis , 2013 .

[22]  Bellandi Andrea,et al.  Mining Bayesian networks out of ontologies , 2012, Journal of Intelligent Information Systems.

[23]  Guoyong Shi,et al.  A survey on binary decision diagram approaches to symbolic analysis of analog integrated circuits , 2011, Analog Integrated Circuits and Signal Processing.

[24]  Lin Xiangning.  Reliability Analysis of Communication Systems in Substation Based on Dynamic Fault Tree , 2012 .

[25]  Zhenqiang Yao.  Direct Fabrication of Sub-micron Sized Mirco-structure by Interfering Nanosecond Laser Beams , 2013 .

[26]  Ren Pei.  Research on probabilistic safety assessment method of multi-state systems based on BDD , 2009 .

[27]  Feng Li,et al.  Robust Design of Structural Fatigue Life , 2010 .

[28]  Dongning Chen,et al.  Reliability Analysis of Multi-state System Based on Fuzzy Bayesian Networks and Application in Hydraulic System , 2012 .

[29]  C. W. Chan,et al.  Fuzzy fault tree analysis based on T–S model with application to INS/GPS navigation system , 2008, Soft Comput..

[30]  A. W. Deshpande.  Fuzzy Fault Tree Analysis : A Case Study , 1992 .

[31]  Yao Chengy,et al.  Fuzzy Reliability Assessment Method Based on T-S Fault Tree and Bayesian Network , 2014 .

[32]  Franco Turini,et al.  Mining Bayesian networks out of ontologies , 2011, Journal of Intelligent Information Systems.

[33]  Junfeng Wang,et al.  A Survey on Energy Efficient Discrete Manufacturing System , 2013 .