基于非对称联系云的软土沉降等级评价模型

A novel settlement grade evaluation model for soft clay based on asymmetric connection cloud

软土沉降等级评价受诸多边界模糊的、有限区间分布的不确定因素影响。文章基于集对论和云理论,提出一种能考虑指标区间边界模糊和非对称特点的土体沉降等级联系云评价新模型,即首先构建基于集对同异反分析的非对称联系云模型,以非对称定量统一描述软土沉降等级评价指标的模糊性及在分类间的转换态势,并结合指标权重综合分析样本与沉降等级间的确定度,以确定土体沉降等级。实例应用结果与现场观测结论及可拓评价结果的对比分析表明,该模型应用于软土沉降等级划分是有效可行的,且克服了传统云模型局限于指标为正态分布的缺陷。

Indices distribution of settlement grade evaluation for the soft clay presents uncertainty of boundary fuzziness in the finite interval and interaction among various classifications. So a novel cou- pled connection cloud model using the set pair theory and cloud theory is introduced to classify the set- tlement grade of soft clay. In this model, the asymmetric connection cloud model using the identity- discrepancy-contrary（IDC） principle of set pair analysis is established to interpret the evaluation indices＇ fuzziness, asymmetry and transformation state among index intervals. Based on the index weight and the measured value, the certainty degree to each grade is calculated to generate the comprehensive certainty degree to the certain grade, and then the settlement grade of the sample is specified. Finally, the comparison of the results of a practical example with those of the extension evaluation and field observations shows that the proposed model is feasible and effective, and can overcome the crucial re- striction of the conventional cloud model that the index must obey normal distribution.