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连续过程的关联度
引用本文:李万绪.连续过程的关联度[J].华中科技大学学报(自然科学版),1991(3).
作者姓名:李万绪
作者单位:陕西省石泉水电厂
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。


The Grey Relational Grade of a Continuous Process
Li Wanxu.The Grey Relational Grade of a Continuous Process[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,1991(3).
Authors:Li Wanxu
Abstract: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.
Keywords:Grey system  Correlational grade  Continuous process  Parallel coefficient  Extension coefficient  
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