AN ALGORITHM FOR FUZZY LINEAR CALIBRATION

被引:11
作者
HU, Y
SMEYERSVERBEKE, J
MASSART, DL
机构
[1] Pharmaceutical Institute, Vrije Universiteit Brussel, 1090 Brussels
关键词
D O I
10.1016/0169-7439(90)80130-X
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Hu Y., Smeyers-Verbeke, J. and Massart, D.L., 1990. An algorithm for fuzzy linear calibration. Chemometrics and Intelligent Laboratory Systems, 8: 143-155. This paper proposes an algorithm for fuzzy calibration. A line is used as support of the fuzzy observations. Optimization by iteration was required and a modified simplex algorithm has been introduced for this purpose. It has been found that several difficulties occur in the implementation on real data that may include outliers. Appropriate solutions are given and sample results are described. © 1990.
引用
收藏
页码:143 / 155
页数:13
相关论文
共 23 条
[1]  
Rousseeuw, Least median of squares regression, Journal of the American Statistical Association, 79, pp. 871-880, (1984)
[2]  
Rousseeuw, Leroy, Robust Regression and Outlier Detection, pp. 1-18, (1987)
[3]  
Rousseeuw, Leroy, Robust Regression and Outlier Detection, (1987)
[4]  
Otto, Bandemer, Calibration with imprecise signals and concentration based on fuzzy theory, Chemometrics and Intelligent Laboratory Systems, 1, pp. 71-78, (1986)
[5]  
Bandemer, Otto, Fuzzy theory in analytical chemistry, Mikrochimica Acta, 2, pp. 93-124, (1986)
[6]  
Otto, Fuzzy theory explained, Chemometrics and Intelligent Laboratory Systems, 4, pp. 101-120, (1988)
[7]  
Zadeh, Fuzzy sets, Information and Control, 8, pp. 338-344, (1965)
[8]  
Blaffert, Computer-assisted multicomponent spectral analysis with fuzzy sets, Analytical Chimica Acta, 161, pp. 135-148, (1984)
[9]  
Otto, Bandemer, Pattern recognition based on fuzzy observations for spectroscopic quality control and chromatographic fingerprinting, Analytica Chimica Acta, 184, pp. 21-31, (1986)
[10]  
Otto, Bandemer, A fuzzy method for component identification and mixture evaluation in the ultraviolet spectral range, Analytica Chimica Acta, 191, pp. 193-204, (1986)