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应用科学学报 ›› 2003, Vol. 21 ›› Issue (1): 25-29.

• 论文 • 上一篇    下一篇

苎麻纤维细度测试的灰色优化GM*(1,2)模型与误差分析

李晓峰, 罗佑新   

  1. 常德师范学院机械工程系 湖南 常德 415003
  • 收稿日期:2001-12-06 修回日期:2002-04-11 出版日期:2003-03-10 发布日期:2003-03-10
  • 作者简介:李晓峰(1957-),男,湖南常德人,教授.
  • 基金资助:
    湖南省教育厅科研基金资助项目(01C403);教育部科研基金资助项目(地方02108)

The Grey Optimum Model for the Test of the Fineness of Ramie Fiber and Its Error Analysis

LI Xiao-feng, LUO You-xin   

  1. Department of Mechanical Engineering, Changde Teachers University, Changde 415003, China
  • Received:2001-12-06 Revised:2002-04-11 Online:2003-03-10 Published:2003-03-10

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摘要： 采用灰色系统理论建立了苎麻纤维Tex数Y与投影宽度X之间的灰色GM (1,2)模型和灰色优化GM*(1,2)模型.通过误差分析与对比,指出利用灰色优化模型可以真实地拟合苎麻纤维投影宽度和Tex数真值之间的关系.为生产工艺控制、产品质量检验和监督提供了一种简便而科学的方法.

关键词: 苎麻纤维, Tex数, 灰色优化模型, 投影宽度

Abstract: The grey modeling method has been developed according to the theory of the grey system and is used for correlation analysis of experimental data. Compared with the method of data regression, the grey model analysis (GMA) enjoys an obvious advantage. It can enhance the reliability of prediction in particular, in the testing of samples of small size. In this paper, the grey GM (1,2) model and grey optimum GM* (1,2) model for the testing and analysis of the fineness of ramie fiber are described. Correlation analysis is then performed to predict the relationship between the data Tex (sample Y) and the data projection breadth (sample X). The error is evaluated and proves acceptable. The model for testing the fineness of ramie fiber established on it provides a concise and scientific method for technical control of production, quality inspection and supervision.

Key words: grey optimum model, ramie fiber, Tex, projection breadth

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