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土工格室边坡侵蚀稳定性的模糊物元评价模型及其应用

The Comprehensive Evaluation Model Based on the Fuzzy Matter-element for Erosion Stability of Slope with Geocell Protection and Its Application
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摘要 随着土工格室在高速公路、河道边坡护坡工程中的逐渐推广,土工格室边坡侵蚀稳定性研究成为研究热点.为有效地对土工格室防止边坡侵蚀的能力进行评价,指导工程实践与应用,通过对土工格室特性、边坡特征以及施工养护等影响因素的分析,建立了土工格室边坡水力侵蚀稳定性评价的指标体系;针对评价等级相对模糊及单项指标评价结果的不相容性问题,引入模糊物元理论,构建了土工格室边坡侵蚀稳定性的模糊物元评价模型,利用层次分析法确定指标权重,最后进行关联分析,根据最大关联原则确定评价等级.研究表明模型将定性和定量相结合,考虑全面,计算简单,易于编程,结合工程实际案例对该模型进行验证分析,评价结果与实际情况符合较好. With the gradual popularization of the geocell's using in the slope protection engineering of the highway and the river,the research on the erosion stability of the slope becomes a research focus.To evaluate the ability that preventing the slope erosion of the geocell effectively and to guide the engineering practice and application,the evaluation system of the hydraulic erosion stability of slope with geocell protection is established from the aspects of the characteristics of the geocell and the slope together with the construction and maintenance of the geocell;To solve the existing fuzziness in the grade of stability evaluation of slope with geocell protection and inconsistent between evaluation result by single index,fuzzy matter-element theory is introduced to construct the fuzzy matter-element evaluation model of erosion stability of slope with geocell protection.The weights of the evaluation indexes are determined by the analytic hierarchy process(AHP).Finally,the grade of the stability of geocell protection of slope is obtained based on the principle of Maximum Correlation Degree.The research shows that the model can combine qualitative analysis with quantitative analysis,consider comprehensively,and is simple to calculat and easy to program.The model is verified by the engineering cases,which can provide the result agrees well with practical engineering.
出处 《数学的实践与认识》 北大核心 2015年第22期126-133,共8页 Mathematics in Practice and Theory
基金 国家自然科学基金(11072133 11372165)
关键词 土工格室边坡 稳定性 模糊物元 关联度 geocell protection of slope stability matter-element dependent degree
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