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Modeling Risk Management for Resources and Environment in China pp 557–565Cite as

Standard Deviation Method for Risk Evaluation in Failure Mode under Interval-Valued Intuitionistic Fuzzy Environment

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Part of the book series: Computational Risk Management ((Comp. Risk Mgmt))

Abstract

Failure mode and effects analysis (FMEA) has been extensively used for examining potential failures in products, process, designs and services. An important issue of FMEA is the determination of risk priories of the failure modes that have been identified. In this paper, we treat the risk factors occurrence (O), severity (S) and detection (D) as interval-valued intuitionistic fuzzy numbers, and then standard deviation method is proposed to determine the weights of the risk factors objectively for prioritization of failure modes. A practical example is given to verify the developed method and to demonstrate its practicality and effectiveness.

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References

  • Atanassov KT (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20:87–96

    Article  Google Scholar 

  • Atanassov K, Gargov G (1989) Interval valued intuitionistic fuzzy sets. Fuzzy Sets Syst 31:343–349

    Article  Google Scholar 

  • Bowles JB, Peláez CE (1995) Fuzzy logic prioritization of failures in a system failure mode, effects and criticality analysis. Reliab Eng Syst Saf 50:203–213

    Article  Google Scholar 

  • Braglia M, Frosolini M, Montanari R (2003) Fuzzy TOPSIS approach for failure mode, effects and criticality analysis. Qual Reliab Eng Int 19:425–443

    Article  Google Scholar 

  • Chang CL, Wei CC, Lee YH (1999) Failure mode and effects analysis using fuzzy method and grey theory. Kybernetes 28:1072–1080

    Article  Google Scholar 

  • Lertworasirikul S, Fang SC, Joines JA, Nuttle HLW (2003) Fuzzy data envelopment analysis (DEA): a possibility appraoch. Fuzzy Sets Syst 139:379–394

    Article  Google Scholar 

  • Pillay A, Wang J (2003) Modified failure mode and effects analysis using approximate reasoning. Reliab Eng Syst Saf 79:69–85

    Article  Google Scholar 

  • Stamatis DH (1995) Failure mode and effect analysis: FMEA from theory to execution. ASQC Quality Press, Milwaukee

    Google Scholar 

  • Wang YM (2003) A method based on standard and mean deviations for determining the weight coefficients of multiple attributes and its applications. Math Stat Manage 22:22–26

    Google Scholar 

  • Wang YM, Chin KS, Poon GKK, Yang JB (2009) Risk evaluation in failure mode and effects analysis using fuzzy weighted geometric mean. Expert Syst Appl 36:1195–1207

    Article  Google Scholar 

  • Xu ZS (2007) Methods for aggregating interval-valued intuitionistic fuzzy information and their application to decision making. Control Decis 22:215–219

    Google Scholar 

  • Xu ZS, Yager RR (2006) Some geometric aggregation operators based on intuitionistic fuzzy sets. Int J Gen Syst 35:417–433

    Article  Google Scholar 

  • Xu K, Tang LC, Xie M, Ho SL, Zhu ML (2002) Fuzzy assessment of FMEA for engine systems. Reliab Eng Syst Saf 75:17–29

    Article  Google Scholar 

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Author information

Authors and Affiliations

  1. Business School, HoHai University, Nanjing, Jiangsu, 210098, China

    Yejun Xu

Authors
  1. Yejun Xu
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Corresponding author

Correspondence to Yejun Xu .

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Editors and Affiliations

  1. , Risklab, University of Toronto, Spadina Crescent 1, Toronto, M5S 3G3, Ontario, Canada

    Desheng Dash Wu

  2. , Academy of Mathematics and Systems Scien, Chinese Academy of Sciences, Beijing, 100190, China, People's Republic

    Yong Zhou

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Xu, Y. (2011). Standard Deviation Method for Risk Evaluation in Failure Mode under Interval-Valued Intuitionistic Fuzzy Environment. In: Wu, D., Zhou, Y. (eds) Modeling Risk Management for Resources and Environment in China. Computational Risk Management. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18387-4_61

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