基于模糊可拓方法的泥石流危险度区划研究

泥石流危险度区划是一个复杂的问题，影响泥石流危险度的诸多因素中既有定性描述的，也有定量描述的，因此，必须将定性与定量描述有机地结合起来，才能获得较为合理的区划结果。本文将模糊数学与可拓方法相结合，在物元理论、可拓集合论和关联函数的基础上，利用区域泥石流危险度等级分类和区划指标隶属度化使其无量纲化，构造了经典物元和节域物元，并建立了泥石流危险度区划的模糊可拓模型。实例应用表明该方法能较真实地反映实际区域的泥石流危险度等级．

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

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.