岩溶区公路路基稳定性的区间模糊评判分析方法

Interval fuzzy judgment method for roadbed stability in karst area

针对现有岩溶区公路路基稳定性模糊评判方法的局限性与不足,在考虑岩溶路基稳定性主要影响因素的模糊性与层次性基础上,建立岩溶路基稳定性二级模糊综合评判模型,并通过重点探讨影响因素隶属度与权向量的区间性以及模糊矩阵加权运算的非线性特征,引入非线性模糊矩阵合成算子、区间数学理论和区间数向量矩阵的相对优势度分析方法,建立了岩溶区公路路基稳定性的区间模糊评判分析方法,该方法减少了评判的主观性,更好地反映了不利因素对评判结果的影响,从而使公路岩溶路基稳定性评判方法更趋合理化,且具有更强的可操作性。

There are limitation and short comings by using the fuzzy judgment method to evaluate the roadbed stability in karst area at present.Based on the consideration of the fuzziness and hierarchy of the chief factors for the roadbed stability,a two-stage fuzzy synthesis judgment model for the roadbed stability in karst area is presented.The interval features of the subordinate degrees and the weight vectors on the factors as well as the nonlinear features of weighting operation of fuzzy matrices are discussed.By use of the nonlinear composition operator on fuzzy matrix,the interval mathematics theory and the relative superiority degree method to interval number matrix,the interval fuzzy judgment theory for roadbed stability in karst area is suggested.It can reduce the effect of subjectivity of judgment and reflect the effect of the bad factors on the judgment results.It is more rational and maneuverable.The calculated results and a comparison with other methods show that the proposed method is reliable and reasonable.