NDLI: Practical Study on the Fuzzy Risk of Flood Disasters

Content Provider	Springer Nature Link
Author	Feng, Lihua Luo, Gaoyuan
Copyright Year	2008
Abstract	The simplest way to perform a fuzzy risk assessment 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 the fuzzy set to the crisp set. Therefore, the first step is to define an α level value, and then select the elements x with a subordinate degree A(x)≥α. The higher the value of α, the lower the degree of uncertainty—the probability is closer to its true value. The lower the value of α, the higher the degree of uncertainty—this results in a lower probability serviceability. The possibility level α is dependant on technical conditions and knowledge. A fuzzy expected value of the possibility-probability distribution is a set with $\underline{E}_{\,\alpha}(x)$ and $\overline{E}_{\alpha}(x)$ as its boundaries. 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 throughout the set [0,1], it is possible to obtain a series of risk values. Therefore, the fuzzy risk may be a multi-valued risk or set-valued risk. Calculation of the fuzzy expected value of flood risk in the Jinhua River basin has been performed based on the interior-outer set model. Selection of an α value depends on the confidence in different groups of people, while selection of a conservative risk value or venture risk value depends on the risk preference of these people.
Starting Page	421
Ending Page	432
Page Count	12
File Format	PDF
ISSN	01678019
Journal	Acta Applicandae Mathematica
Volume Number	106
Issue Number	3
e-ISSN	15729036
Language	English
Publisher	Springer Netherlands
Publisher Date	2008-09-11
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Interior-outer set model α level Fuzzy risk Fuzzy expected value Flood Mechanics Statistical Physics Mathematical and Computational Physics Computer Science Mathematics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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