摘要
岩土工程参数中的各种信息都存在模糊性。通过对岩土样本力学参数试验值的研究,提出当分析样本统计特征时,应该充分考虑模糊不确定性因素对参数特征值的影响。在确定的参数隶属函数基础上,推导了岩土样本力学参数模糊统计特征值的计算公式,并证明了公式的合理性。应用实例表明,由于文中提出的计算方法考虑了参数模糊性的影响,其计算结果比按常规统计方法得到的结果更具合理性。在任何情况下,模糊方差和模糊变异系数都比常规统计方法得到的方差和变异系数小。分析结果表明,该方法具有广泛的推广价值。
Vague information widely exits in parameters used for analyzing geotechnical engineering. After the distribution of eigenvalue of samples had been studied, it was indicated that the vague factors in parameters could not be ignored. According to the membership function of parameters, the equations of fuzzy eigenvalue of sample parameters was deduced. Its reasonability was also proved. The case study indicates that the fuzzy method is better than the classical stochastic method because its variance is less than the results obtained by stochastic method in any case. The results also indicate that the fuzzy statistic method is worth of being generalized in engineering application.
出处
《岩土力学》
EI
CAS
CSCD
北大核心
2004年第3期342-346,共5页
Rock and Soil Mechanics
关键词
隶属函数
模糊均值
模糊方差
统计特征
membership functions
fuzzy mean
fuzzy variance
statistic eigenvalues
