基于正态模糊线性回归确定河流横向扩散系数

doi:10.3969/j.issn.1001-5485.2015.08.004

院报 ›› 2015, Vol. 32 ›› Issue (8): 22-25.DOI: 10.3969/j.issn.1001-5485.2015.08.004

基于正态模糊线性回归确定河流横向扩散系数

张转¹,常安定²,王媛英²,王晓晨²

1.陕西国际商贸学院,陕西咸阳 712046;
2.长安大学理学院, 西安 710064

收稿日期:2014-02-26 出版日期:2015-08-20 发布日期:2015-08-18
通讯作者: :常安定(1964-),男,陕西大荔人,教授,硕士生导师,主要从事水文地质的数学方法研究,(电话)13389213296(电子信箱)chdanding@126.com。
作者简介:张转(1988-),女,陕西咸阳人,硕士研究生,主要从事最优化理论与方法研究,(电话)15202974335 (电子信箱)zhangzhuan10@163.com。
基金资助:
中央高校基本科研业务费专项资金资助项目(310829130225)

Determining the Transversal Diffusion Coefficient of River ThroughNormal Fuzzy Linear Regression

ZHANG Zhuan¹, CHANG An-ding², WANG Yuan-ying², WANG Xiao-chen²

1.Shaanxi Institute of International Trade and Commerce, Xianyang 712046, China;
2.School of Science, Chang’an University 710064, China

Received:2014-02-26 Online:2015-08-20 Published:2015-08-18

摘要/Abstract

摘要：

为寻求水质污染时河流扩散参数的计算方法,以确定河流横向扩散系数的直线图解法为基础,在模糊数的基础上分析河流水团示踪试验数据,建立正态模糊线性回归模型,通过模糊集的隶属函数计算不同置信水平下河流横向扩散系数和河流平均流速等河流水质参数的取值区间。实际算例验证结果表明,应用正态模糊线性回归模型确定的河流水质参数值与真值非常接近,说明该方法是可行的,并且是可靠、合理的。该方法能够反映河流系统自身的不确定性以及实际中存在的各种不确定因素对其的影响。

关键词: 模糊线性回归, 正态模糊数, 隶属函数, 横向扩散系数, 平均流速

Abstract:

To explore the method of calculating river’s diffusion coefficient in the presence of pollution, a normal fuzzy linear regression model was built, and through the membership function of fuzzy set, the ranges of water quality parameters (transversal diffusion coefficient and average flow velocity) in the presence of different confidence levels were calculated. The model was built based on linear graphic method, and the tracer test data of water mass was analysed based on fuzzy numbers. The water quality parameters calculated by this model were very close to the real values, which accounts for the feasibility and rationality of this model. It could also reflect the uncertainty of river system and the effects of other uncertainties in practice.

Key words: fuzzy linear regression, normal fuzzy number, membership function, transversal diffusion coefficient, average flow velocity

中图分类号:

P641.8

张转,常安定,王媛英,王晓晨. 基于正态模糊线性回归确定河流横向扩散系数[J]. 院报, 2015, 32(8): 22-25.

ZHANG Zhuan, CHANG An-ding, WANG Yuan-ying, WANG Xiao-chen. Determining the Transversal Diffusion Coefficient of River ThroughNormal Fuzzy Linear Regression[J]. JOURNAL OF YANGTZE RIVER SCIENTIFIC RESEARCH INSTI, 2015, 32(8): 22-25.

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基于正态模糊线性回归确定河流横向扩散系数

Determining the Transversal Diffusion Coefficient of River ThroughNormal Fuzzy Linear Regression

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