基于直觉模糊集的膨胀土胀缩等级分类

Classification of Swelling-shrinkage Grade of Expansive Soils Based on Intuitionistic Fuzzy Sets

膨胀土的胀缩性受诸多不确定性因素的影响,然而对膨胀土胀缩等级的分类是一个复杂的不确定性系统分析问题,膨胀土胀缩等级的合理分类对工程设计及施工具有重要的指导意义。本文基于直觉模糊集理论,给出了膨胀土分类指标的一种采用隶属度与非隶属度刻画不确定性问题的分析方法,并结合两种权重方法确定的指标权重提出了分类指标的直觉模糊权重确定方法,探讨了具有模糊性权重的膨胀土胀缩等级分类模型。通过实例验证及应用的研究,结果表明:该分类模型对膨胀土胀缩等级分类是有效可行的,且取得了良好效果,同时也解决了在以往分类方法中无法体现指标权重模糊性的缺陷。

The swelling-shrinkage of expansive soils is affected by many uncertainties.However,the classification standard for the swelling-shrinkage grades of expansive soils is a complex uncertainty system analysis problem.The reasonable classification for the swelling-shrinkage grades of expansive soils has important guiding significance for engineering design and construction.Based on the theory of intuitionistic fuzzy sets,this paper presents an uncertainty analytical method for the classification standard of expansive soil using membership and nonaffiliation.In combination with the index weights determined by the two weighting methods,an intuitionistic fuzzy weight determination method for the classification index is proposed.The classification model for the swelling-shrinkage grades of expansive soils with fuzzy weights is discussed.Through example validation and applied research,the results show that this classification model is effective and feasible for the classification of the swelling-shrinkage of expansive soils and achieve the good results.At the same time,it also solves the defect that the ambiguity of index weight can’t be reflected in the previous classification methods.