Application of possibility-probability distribution in assessing water resource risk in Yiwu city

作者：Feng L H^*; Luo G Y

来源：Water Resources, 2011, 38(3): 409-416.

DOI：10.1134/S009780781103002X

• interior-outer set model
• level
• fuzzy risk
• fuzzy expected value
• water resource risk

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) under bar (alpha)(x) and (E) over bar (alpha)(x) as its boundaries. The fuzzy expected values (E) under bar (alpha)(x) and (E) over bar (alpha)(x) of a possibility-probability distribution represent the fuzzy risk values being calculated. Under such an alpha level, three risk values can be calculated: conservative risk value, venture risk value and maximum probability risk value. As alpha 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

• 出版日期2011-5
• 单位浙江师范大学