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基于熵值法赋权的新灰色关联度量化模 型
引用本文:项翔,陈鹏宇. 基于熵值法赋权的新灰色关联度量化模 型[J]. 系统科学学报, 2014, 0(1): 66-70
作者姓名:项翔  陈鹏宇
作者单位:[1]同济大学土木工程学院上海200092 [2]中国地质大学工程学院湖北武汉430074
摘    要:本文在已有灰色关联理论的基础上,简要阐述了现有的几种典型灰色关联度量化模型,并分别指出了其在比较序列变化率上的缺陷。在此基础上,提出了一种基于熵值法赋权的灰色关联度量化模型。模型主要考察了序列变化率的差异,尤其对于序列间细微差异有较强分辨能力,关联度取值更能被直观接受,并采用熵值法进行权重分配,序列变化中离散程度大的折线段因熵值较大赋予的权重相对较小,因此更能平衡地体现序列间的差异,并将其反映到关联度值中。

关 键 词:灰色关联度  熵值法  序列变化率

Novel Grey Incidence Computation Model Based on Entropy Method
XIANG Xiang,CHEN Peng-yu. Novel Grey Incidence Computation Model Based on Entropy Method[J]. Journal of Systems Science, 2014, 0(1): 66-70
Authors:XIANG Xiang  CHEN Peng-yu
Affiliation:1. College of Civil Engineering, Tongfi University, Shanghai 200092, China ; College of Engineering, China University of GeoScienee , Wuhan 430074, China)
Abstract:Based on the theories of Grey incidence theory, this paper summarizes several representa- tive Grey incidence computation models of present and points out their indications in the sequence change rate respectively. On this foundation, a new Grey incidence computation model based on entropy method is proposed. The modle mainly studies the differences of sequence change rate. Especially, it has strong discrimination ability for subtle differences in sequence, and correlation values are accepted more intui- tively. With entropy method, the segments, which has large degree of dispersion, get a small weight as its entropy is bigger.
Keywords:Grey relational degree  Entropy method  Rate of change of sequence
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