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A novel set pair analysis method based on variable weights for liquefaction evaluation

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  • Ming-Wu Wang
  • Peng Xu
  • Jian Li
  • Kui-Yuan Zhao

Abstract

To ensure the safety of structures, high-speed railway and highway founded on liquefiable soils, liquefaction evaluation is a primary task. Herein, a dynamic set pair analysis method based on variable weights is introduced to assess liquefaction. A concept of connection degree of set pair consisting of the evaluation sample and the classification standard was described to interpret the uncertainty of liquefaction and relationship. Moreover, based on reward and penalty mechanism, state variable vectors were presented to assign composite weights of evaluation indicators in order to take into account impacts of indicator variation. And the integrated connection degree to each grade was calculated to evaluate liquefaction of the evaluated cases. Results from practical example and comparison with field investigation and extension method indicated that this proposed model used to evaluate liquefaction is feasible and effective. In addition, it can quantitatively describe liquefaction hierarchy of evaluated samples. Copyright Springer Science+Business Media Dordrecht 2014

Suggested Citation

  • Ming-Wu Wang & Peng Xu & Jian Li & Kui-Yuan Zhao, 2014. "A novel set pair analysis method based on variable weights for liquefaction evaluation," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 70(2), pages 1527-1534, January.
    • Handle: RePEc:spr:nathaz:v:70:y:2014:i:2:p:1527-1534
    DOI: 10.1007/s11069-013-0887-4
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    References listed on IDEAS

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    1. Ju-Liang Jin & Yi-Ming Wei & Le-Le Zou & Li Liu & Juan Fu, 2012. "Risk evaluation of China’s natural disaster systems: an approach based on triangular fuzzy numbers and stochastic simulation," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 62(1), pages 129-139, May.
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    Cited by:

    1. Xiwen Zhang & Xiaowei Tang & Ryosuke Uzuoka, 2015. "Numerical simulation of 3D liquefaction disasters using an automatic time stepping method," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 77(2), pages 1275-1287, June.
    2. Tao Wang & Jian-sheng Chen & Ting Wang & Shuang Wang, 2015. "Entropy weight-set pair analysis based on tracer techniques for dam leakage investigation," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 76(2), pages 747-767, March.

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