Application of possibility-probability distribution in assessing water resource risk in Yiwu city |
| |
| Authors: | L H Feng G Y Luo |
| |
| Institution: | (1) Department of Geography, Zhejiang Normal University, No. 688 Yingbin Road, 321004 Jinhua, China;(2) Department of Mathematics, Clayton State University, Morrow, GA 30260, USA;(3) Department of Administration and Technology Management, Clayton State University, Morrow, GA 30260, USA |
| |
| Abstract: | The possibility-probability risk calculated using the interior-outer set model is referred to as fuzzy risk. A fuzzy expected
value of the possibility-probability distribution is a set with E
α(x) and `(E)]a\bar E_\alpha (x) as its boundaries. The fuzzy expected values E
α(x) and `(E)]a\bar E_\alpha (x) of a possibility-probability distribution represent the fuzzy risk values being calculated. Under such an α level, three
risk values can be calculated: conservative risk value, venture risk value and maximum probability risk value. As α adopts
all values throughout the set 0, 1], it is possible to obtain a series of risk values. Therefore, the fuzzy risk can be a
multi-valued risk or set-valued risk. Calculation of the fuzzy expected value of Yiwu city’s water resource risk has been
performed based on the interior-outer set model. We can get a conservative risk value (R
C
) of 800 mm for Yiwu city’s water resource risk, a venture risk value (R
V
) of 1020 mm, and a maximum probability risk value (R
M
) of 988 mm for the α = 0.1 level cut set. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
