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连续过程的关联度 被引量:3

The Grey Relational Grade of a Continuous Process
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摘要 1 问题的提出 作为一种数学方法,灰色系统理论的关联度方法实质上是将连续概念用离散数据取代的一种方法。关联度的基本思想是由曲线的几何相似性建立的。简单地说,关联度可以定义为关联面积的比。在二维空间中,两曲线的相似程度一般由两个因素决定:曲线的延伸空间(即曲线所包围的面积)和曲线在某一区间内的变化趋势。显然,关联度的计算公式。 A grey model is used to approach the continuous process representing a known discrete sequence by the grey number generating method. The criterion 'The correlational grade is the ratio of the correlational area' proposed by Prof. Deng is realized by the grey model.A method for working out the correlational grade of a continuous process has been developed. With this method, the correlational grade of a continuous process will be converted into the handling of the extension coefficient of the correlational area and the parallel coefficient of the sequence changing tendency.Not only can this method be used to perform correlational grade analysis of a continuous process on the discrete sequence by grey number generation, but it can also be used to carry out correlational grade analysis for a purely continuous process, thus perfecting the correlational analyzing system.
作者 李万绪
出处 《华中理工大学学报》 CSCD 北大核心 1991年第3期113-116,共4页 Journal of Huazhong University of Science and Technology
关键词 灰色系统 连续过程 关联度 Grey system Correlational grade Continuous process Parallel coefficient Extension coefficient
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参考文献3

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同被引文献19

  • 1张玉青.多目标灰色关联度决策模型分析[J].中国环境管理干部学院学报,2003,13(4):60-63. 被引量:6
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  • 7Chang K.C,Yeh M.F,Grey relational analysis based ap- proach for data clustering [J].IEE Proceedings-Vision,Image & Signal Processing, 2005,152(2):165-172.
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  • 9Li Yongping,Tang Yanzhao,Chen Rongqiu,The grey comprehensive evaluation method on investment item[J].The Journal of Grey System,2000,12(4):383-390.
  • 10Wu Hsin-Hun,A Comparative Study of Using Grey Relational Analysis in Multiple Attribute Decision Making Problems[J], Quality Engineering, 2002,15(2):209.

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