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Research on Regionalization of Debris Flow Risk Degreewith Fuzzy and Extension Method

KUANG Le-hong,LIU Bao-chen and YAO Jing-cheng(School of Civil and Architecture Engineering of Central South University,Changsha 410075,China)  
Regionalization of debris-flow risk degree is a complicated problem.Some influence factors on debris flow risk degree are qualitative and some are quantitative.We should combine them reasonably,then,we can obtained right regionalization result.Fuzzy mathematics and extension method are combined in this paper.Based on the matter-element theory,extension set theory and dependent function calculation,the risk degrees and membership degree of regionalization indexes of debris-flow are used to set up the classical and limited matter-elements.A fuzzy and extension model of regionalization of debris-flow risk degree is established in this paper.The example shows that this method can reflect truly the risk degree of the debris-flow.
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