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高校应用数学学报
高校应用数学学报  2014, Vol. 29 Issue (4): 467-474    
    
同异反灰色相关分析法中同异反趋势划分方法的改进
戴文婷1,2, 董霁红1,3∗, 狄春雷1
1. 中国矿业大学 环境与测绘学院, 江苏徐州 221116
2. 土壤与农业可持续发展国家重点实验室, 江苏南京 210008
3. 江苏省资源环境信息工程重点实验室, 江苏徐州 221116
Improvement of identical-discrepant-contrary trend division in IDC grey correlation analysis
DAI Wen-ting1,2, DONG Ji-hong1,2, DI Chun-lei1
1. School of Environment Science and Spatial Informatics, China University of Mining and Technology, Xuzhou 221116, China
2. Jiangsu Key Laboratory of Resources and Environmental Information Engineering, Xuzhou 221116, China
 全文: PDF 
摘要： 为了优化同异反(Identical-Discrepant-Contrary, 简称IDC)灰色相关分析中同异反趋势划分方法, 提高同异反趋势划分结果的精度, 文章在分析两种传统划分方法存在不足的基础上, 对其进行改进, 提出了均分迭代划分法和回归系数比值划分法, 并结合土壤中有机质含量和砷含量相关性的实例, 对改进后的两种方法进行数值模拟. 结果表明: 改进后的两种划分方法得到结果的可靠度均较高, 采用均分迭代划分法得到结果的可靠度为70%, 采用回归系数比值划分法得到结果的可靠度为55%, 略低于前者, 这是因为土壤有机质含量中存在“异常”数据, 对回归系数影响较大, 降低了回归系数比值划分结果的精度.
关键词： 同异反趋势划分;  方法改进;  均分迭代法;  回归系数比值法;  数值模拟    
Abstract: For the sake of optimizing the Identical-Discrepant-Contrary(IDC) trend division method in the IDC grey correlation analysis , and improving the accuracy of the IDC trend classification results, this paper based on analyzing the deficiencies of the two kinds of traditional classification methods, improved it, and put forward the average-division iterative method and regression coefficients ration method. Combining with the example of relativity between the content of organic matter and the content of As in soil, this paper carried numerical simulation on the two improved methods. The results show that: The results getting from two classification methods that were improved both have a high reliability. The reliability of the result getting from average-division iterative method is 70%, and from regression coefficients ration method is 55%, slightly lower than the former. Because the content of the organic matter in the soil has “abnormal” data, it has a great influence on the coefficient of regression, and reduces the accuracy of division result getting from regression coefficients ration method.
Key words: IDC trend division    method improvement    average-division iterative method    regression coefficients ration method    numerical simulation
收稿日期: 2014-02-14 出版日期: 2018-06-08
CLC:  N941.5  
基金资助: 国家自然科学基金(51374208); 土壤与农业可持续发展国家重点实验室开放课题(Y412201432); 江苏高校优势学科建设工程(SZBF2011-6-B35)
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戴文婷
董霁红
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引用本文:

戴文婷, 董霁红, 狄春雷. 同异反灰色相关分析法中同异反趋势划分方法的改进[J]. 高校应用数学学报, 2014, 29(4): 467-474.

DAI Wen-ting, DONG Ji-hong, DI Chun-lei. Improvement of identical-discrepant-contrary trend division in IDC grey correlation analysis. Applied Mathematics A Journal of Chinese Universities, 2014, 29(4): 467-474.

链接本文:

http://www.zjujournals.com/amjcua/CN/    或    http://www.zjujournals.com/amjcua/CN/Y2014/V29/I4/467

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