Fuzzy probability on reliability study of nuclear power plant probabilistic safety assessment: A review

Abstract Fault tree analysis (FTA) is a graphical model which has been widely used as a deductive tool for nuclear power plant (NPP) probabilistic safety assessment (PSA). The conventional one assumes that basic events of fault trees always have precise failure probabilities or failure rates. However, in real-world applications, this assumption is still arguable. For example, there is a case where an extremely hazardous accident has never happened or occurs infrequently. Therefore, reasonable historical failure data are unavailable or insufficient to be used for statistically estimating the reliability characteristics of their components. To deal with this problem, fuzzy probability approaches have been proposed and implemented. However, those existing approaches still have limitations, such as lack of fuzzy gate representations and incapability to generate probabilities greater than 1.0E-3. Therefore, a review on the current implementations of fuzzy probabilities in the NPP PSA is necessary. This study has categorized two types of fuzzy probability approaches, i.e. fuzzy based FTA and fuzzy hybrid FTA. This study also confirms that the fuzzy based FTA should be used when the uncertainties are the main focus of the FTA. Meanwhile, the fuzzy hybrid FTA should be used when the reliability of basic events of fault trees can only be expressed by qualitative linguistic terms rather than numerical values.

[1]  Dong Yuhua,et al.  Estimation of failure probability of oil and gas transmission pipelines by fuzzy fault tree analysis , 2005 .

[2]  Brian Veitch,et al.  Fault and Event Tree Analyses for Process Systems Risk Analysis: Uncertainty Handling Formulations , 2011, Risk analysis : an official publication of the Society for Risk Analysis.

[3]  Roger M. Cooke,et al.  On the performance of social network and likelihood-based expert weighting schemes , 2008, Reliab. Eng. Syst. Saf..

[4]  V. R. Renjith,et al.  Two-dimensional fuzzy fault tree analysis for chlorine release from a chlor-alkali industry using expert elicitation. , 2010, Journal of hazardous materials.

[5]  Donghan Yu,et al.  Combination and evaluation of expert opinions characterized in terms of fuzzy probabilities , 2000 .

[6]  Jin Wang,et al.  Fuzzy Rule-Based Bayesian Reasoning Approach for Prioritization of Failures in FMEA , 2008, IEEE Transactions on Reliability.

[7]  S. Turrin,et al.  A fuzzy-based approach to comprehensive modeling and analysis of systems with epistemic uncertainties , 2010 .

[8]  Muhittin Celik,et al.  A risk-based modelling approach to enhance shipping accident investigation , 2010 .

[9]  Hideo Tanaka,et al.  Fault-Tree Analysis by Fuzzy Probability , 1983 .

[10]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[11]  Xiao-Yue You,et al.  Event‐Tree Analysis with Imprecise Probabilities , 2012, Risk analysis : an official publication of the Society for Risk Analysis.

[12]  Clifton A. Ericson,et al.  Fault Tree Analysis , 2005 .

[13]  S. Mohammad Hadi Hadavi.  WWER-1000 shutdown probabilistic risk assessment: An introductory insight , 2008 .

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

[15]  Mao-Jiun J. Wang,et al.  Fuzzy fault-tree analysis using failure possibility , 1993 .

[16]  Ümit Sami Sakalli,et al.  An application of investment decision with random fuzzy outcomes , 2010, Expert Syst. Appl..

[17]  Nikolaos Limnios,et al.  Fault Trees , 2007 .

[18]  Ajit Srividya,et al.  Quantification of epistemic and aleatory uncertainties in level-1 probabilistic safety assessment studies , 2007, Reliab. Eng. Syst. Saf..

[19]  Luis Martínez-López,et al.  Self-tuning of fuzzy belief rule bases for engineering system safety analysis , 2008, Ann. Oper. Res..

[20]  Nelson F. F. Ebecken,et al.  FuzzyFTA: a fuzzy fault tree system for uncertainty analysis , 1999 .

[21]  D. Singer.  A fuzzy set approach to fault tree and reliability analysis , 1990 .

[22]  Jeong-Ik Lee,et al.  Studies of various single phase natural circulation systems for small and medium sized reactor design , 2013 .

[23]  Kazuo Yanoo,et al.  Formal static fault tree analysis , 2010, The 2010 International Conference on Computer Engineering & Systems.

[24]  Guangbin Yang.  Potential Failure Mode Avoidance , 2007 .

[25]  Hongyan Li,et al.  A FTA-based method for risk decision-making in emergency response , 2011, 2011 Fourth International Joint Conference on Computational Sciences and Optimization.

[26]  Wen-Chin Chou,et al.  A hybrid fuzzy MCDM approach for evaluating website quality of professional accounting firms , 2012, Expert Syst. Appl..

[27]  Didier Dubois,et al.  Gradualness, uncertainty and bipolarity: Making sense of fuzzy sets , 2012, Fuzzy Sets Syst..

[28]  Witold Pedrycz,et al.  A fuzzy reliability assessment of basic events of fault trees through qualitative data processing , 2014, Fuzzy Sets Syst..

[29]  Jie Lu,et al.  Fuzzy Failure Rate for Nuclear Power Plant Probabilistic Safety Assessment by Fault Tree Analysis , 2012 .

[30]  Celso Marcelo Franklin Lapa,et al.  Parametric fuzzy study for effects analysis of age on PWR containment cooling system , 2008, Appl. Soft Comput..

[31]  Brian Veitch,et al.  Methodology for computer aided fuzzy fault tree analysis , 2009 .

[32]  Da Ruan,et al.  An Area defuzzification Technique to Assess nuclear Event Reliability Data from Failure Possibilities , 2012, Int. J. Comput. Intell. Appl..

[33]  T. Onisawa.  An approach to human reliability on man-machine systems using error possibility , 1988 .

[34]  Abdollah Hadi-Vencheh,et al.  A new fuzzy MCDM approach based on centroid of fuzzy numbers , 2011, Expert Syst. Appl..

[35]  Michael Hanss,et al.  Identification procedure for epistemic uncertainties using inverse fuzzy arithmetic , 2010 .

[36]  M Sam Mannan,et al.  Fuzzy risk matrix. , 2008, Journal of hazardous materials.

[37]  Tao Liu,et al.  Probabilistic Risk Assessment framework development for Nuclear Power Plant , 2008, 2008 IEEE International Conference on Industrial Engineering and Engineering Management.

[38]  Balbir S. Dhillon.  Reliability Evaluation Methods , 2004 .

[39]  Dan Floricau,et al.  Application of Fuzzy Logic in Safety Computing for a Power Protection System , 2006, FSKD.

[40]  Jhp Julwan Hendry Purba,et al.  A fuzzy-based reliability approach to evaluate basic events of fault tree analysis for nuclear power plant probabilistic safety assessment , 2014 .

[41]  Olgierd Hryniewicz,et al.  Fuzzy Sets in the Evaluation of Reliability , 2007, Intelligence in Reliability Engineering.

[42]  Timothy J. Ross,et al.  Development of Membership Functions , 2010 .

[43]  Takehisa Onisawa.  Fuzzy theory in reliability analysis , 1989 .

[44]  Jian-Bo Yang,et al.  Failure mode and effects analysis using a group-based evidential reasoning approach , 2009, Comput. Oper. Res..

[45]  Jian-Bo Yang,et al.  The evidential reasoning approach for MADA under both probabilistic and fuzzy uncertainties , 2006, Eur. J. Oper. Res..

[46]  Celso Marcelo Franklin Lapa,et al.  Fuzzy uncertainty modeling applied to AP1000 nuclear power plant LOCA , 2011 .

[47]  Celso Marcelo Franklin Lapa,et al.  Fuzzy inference to risk assessment on nuclear engineering systems , 2007, Appl. Soft Comput..

[48]  Ayhan Mentes,et al.  An application of fuzzy fault tree analysis for spread mooring systems , 2011 .

[49]  Da Ruan,et al.  A hybrid model to deal with missing values in nuclear safeguards’ evaluation , 2011 .

[50]  Adam S. Markowski,et al.  Fuzzy logic for process safety analysis , 2009 .

[51]  George E. Apostolakis,et al.  Risk-informed design guidance for future reactor systems , 2005 .

[52]  Jayanta Bhattacharya,et al.  Reliability Analysis of a conveyor system using hybrid data , 2007, Qual. Reliab. Eng. Int..

[53]  Roger M. Cooke,et al.  TU Delft expert judgment data base , 2008, Reliab. Eng. Syst. Saf..

[54]  T. Aven,et al.  Probability and Possibility‐Based Representations of Uncertainty in Fault Tree Analysis , 2013, Risk analysis : an official publication of the Society for Risk Analysis.

[55]  Z. Musicki,et al.  Issues and insights of PRA methodology in nuclear and space applications , 2005, 2005 IEEE International Conference on Systems, Man and Cybernetics.