The Study of GM (1,1|α) on the Verhulst Model

IF 1 4区工程技术 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Journal of Grey System Pub Date : 2006-12-01 DOI:10.30016/JGS.200612.0007

Chang-Jo Wu, Fu-Yuan Hsu, Kun-Li Wen, John H. Wu

引用次数: 2

Abstract

In the GM (1,1) study, generally speaking, the original data are non-smoothing type. But, actually, many types of data are smoothing and nonlinear. Such as population model, that is shown the saturation behavior in where. Hence, Deng and Wen proposed Verhulst model in GM (1,1) model to analyze this type of original data. However, the formula has some missing. Therefore, in this paper, we not only present the novel application for GM(1,1|α) to solve the problem, but also suggest the 4-points rolling in GM(1,1|α) is the better method in this field.

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GM (1,1|α)在Verhulst模型上的研究

在GM(1,1)研究中，一般来说，原始数据都是非平滑型的。但实际上，许多类型的数据都是平滑的和非线性的。如人口模型，即表示饱和行为在哪里。因此，Deng和Wen在GM(1,1)模型中提出了Verhulst模型来分析这类原始数据。然而，这个公式缺少了一些东西。因此，本文不仅提出了GM(1,1|α)的新应用，而且提出GM(1,1|α)中的4点滚动是该领域较好的方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Grey System 数学-数学跨学科应用

CiteScore

2.40

自引率

43.80%

发文量

审稿时长

1.5 months

期刊介绍： The journal is a forum of the highest professional quality for both scientists and practitioners to exchange ideas and publish new discoveries on a vast array of topics and issues in grey system. It aims to bring forth anything from either innovative to known theories or practical applications in grey system. It provides everyone opportunities to present, criticize, and discuss their findings and ideas with others. A number of areas of particular interest (but not limited) are listed as follows: Grey mathematics- Generator of Grey Sequences- Grey Incidence Analysis Models- Grey Clustering Evaluation Models- Grey Prediction Models- Grey Decision Making Models- Grey Programming Models- Grey Input and Output Models- Grey Control- Grey Game- Practical Applications.