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The application of fuzzy risk in researching flood disasters

Author

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  • Li-Hua Feng
  • Wei-Hu Hong
  • Zi Wan

Abstract

To perform a fuzzy risk assessment the simplest way is to calculate the fuzzy expected value and convert fuzzy risk into non-fuzzy risk, i.e., a crisp value. In doing so, there is a transition from a fuzzy set to a crisp set. Therefore, the first step is to define an α level value, followed by selecting the elements x with a subordinate degree A(x) ≥ α. The fuzzy expected values, $$ \underline{E}_{\alpha } (x) $$ and $$ \overline{E}_{\alpha } (x) $$ , of a possibility–probability distribution represent the fuzzy risk values being calculated. Therefore, we can obtain a conservative risk value, a venture risk value and a maximum probability risk value. Under such an α level, three risk values can be calculated. As α adopts all values between the set [0, 1], it is possible to obtain a series of risk values. Therefore, the fuzzy risk may either be a multi-valued risk or a set-valued risk. Calculation of the fuzzy expected value of a flood risk in the Jinhua River basin has been performed based on the interior–outer-set model. The selection of an α value is dependent on the confidence in different groups of people, while the selection of a conservative risk value or a venture risk value is dependent on the risk preference of these people. Copyright Springer Science+Business Media B.V. 2010

Suggested Citation

  • Li-Hua Feng & Wei-Hu Hong & Zi Wan, 2010. "The application of fuzzy risk in researching flood disasters," 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. 53(3), pages 413-423, June.
    • Handle: RePEc:spr:nathaz:v:53:y:2010:i:3:p:413-423
    DOI: 10.1007/s11069-009-9443-7
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    References listed on IDEAS

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    1. Matos, Manuel A., 2007. "Decision under risk as a multicriteria problem," European Journal of Operational Research, Elsevier, vol. 181(3), pages 1516-1529, September.
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