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中文摘要：
影响高速公路路基下岩溶稳定性的因素很多,影响程度各不相同且包含各种模糊信息。基于实际工程资料,综合运用层次分析方法和模糊多属性决策方法,建立路基下岩溶顶板稳定性评价的模糊多层次多属性决策模型;采用Laagoven和Buckley关于层次分析方法中权重比矩阵元素模糊化的建议,推导出权重比矩阵元素为三角模糊数的模糊权值向量计算公式,再按照模糊平均加权方法（F-SAW）得到每个评语的模糊效应值;最后以此结果进行模糊集排序,得到岩溶顶板稳定性的评语。实际工程的应用结果表明了方法的可行性和有效性,为岩溶区路基稳定性评价提供了新的思路和方法。
英文摘要：
The influence factors of the stability of karst cave under highway roadbed contain fuzzy information and the influence grade is not same.Based on the exploration data of a practical engineering,combined with the analytic hierarchy process（AHP） and fuzzy multiple attribute decision making（FMADM）,a model of fuzzy multiple hierarchy multiple attribute making for stability evaluation of karst cave under roadbed is set up.Then the advise of the weight matrix elements of analytic hierarchy process fuzzy conversion which proposed by Laagoven ＆ Buckley is adopted and the formulas of vectors calculation is educed when the weight matrix elements is triangle fuzzy number.The fuzzy utilities of every comment are gained by using fuzzy swing average weight（FSAW）.Finally,appraisement of karst cave fuzzy sets is gained by ordering the fuzzy sets.The results of engineering application demonstrate the feasibility and validity of the method,which provide a new idea and method for stability evaluation of the roadbed in karst region.
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