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水蚀荒漠化的最大熵模糊优化评价模型
Model of the Water-eroded Desertification Quality Fuzzy Assessment Based on Maximum Entropy
【摘要】 基于最大熵原理,应用模糊集合论中的隶属度等概念,综合考虑土地水蚀荒漠化评价的随机性和模糊性,定义加权广义距离表征待评价土地样本与标准样本的差异,建立最大熵模糊优化评价模型。通过实例,选择沟谷密度、坡度、土壤厚度、土壤有机质和植被指数等5项指标,给出土地样本的水蚀荒漠化最优分级;对比模糊综合评判,所建模型评价结果具有较小的Shannon熵,即分级决策具有较小的不确定性。
【Abstract】 Based on the Principle of Maximum Entropy and the concept of relative membership degree in the theory of fuzzy set,through considering the complexity and uncertainty of land ecology system,as well as defining the difference attributed by generalized weighted distances between soil samples and standard samples,a Fuzzy Assessment model based on Maximum Entropy is promoted.A concrete example,which studies on the five indices,including cutting density,slope,soil thickness,soil organic matter content,and vegetation to show the optimum degree of water-eroded desertification was given in detail.Through comparison with the results of the model only considering fuzziness,the results derived from the present models has smaller Shannon entropy,namely the cascade decision making has less uncertainty.
【Key words】 water-eroded desertification; uncertainty; fuzziness; shannon entropy; maximum entropy principle; evaluation method;
- 【文献出处】 水土保持研究 ,Research of Soil and Water Conservation , 编辑部邮箱 ,2008年01期
- 【分类号】S157
- 【被引频次】9
- 【下载频次】175