改进灰色关联度分析及其在大坝观测中的应用

Improved Grey Incidence Degree Analysis and Its Application in Dam Observation

采用位移关联度、一阶差分关联度和二阶差分关联度三个关联度公式来综合表达各因素过程 (序列曲线 )间的关联度情况。其中一阶和二阶差分关联度能满足规范性要求 ,具有无量纲化后的保序性。数值试验清楚表明它们能较好地反映出序列曲线间存在的接近性和形状或发展趋势的相似性。给出土坝观测资料的应用结果 ,也反映出这些关联度公式得出的关联度值与实际曲线的情况相吻合 ,从而可为建模时分析与选择因素提供重要依据。

Three incidence degree formulae such as displacement incidence degree, first order difference incidence degree, and second order difference incidence degree are used to comprehensively express incidence degree status among factor processes (series curves). The first order and second order incidence degree formulae can satisfy the requirement of specification, and possess isotonicity after non-dimensional disposal. Numerical experiment clearly indicates that they can reflect nearness and similarity of shape and development trends between series curves. The results of application in earth dam observation also show the incidence degree values of the formulae coincide with actual curves, thus the formulae can provide important references for factor analyses and selection in modeling.