一类调节强度可变的弱化缓冲算子及其应用研究

doi:10.16381/j.cnki.issn1003-207x.2016.08.021

中国管理科学 ›› 2016, Vol. 24 ›› Issue (8): 172-176.doi: 10.16381/j.cnki.issn1003-207x.2016.08.021

• 论文 • 上一篇

一类调节强度可变的弱化缓冲算子及其应用研究

刘解放^1,2, 刘思峰¹, 方志耕¹

1. 河南科技学院数学科学学院, 河南新乡 453003;
2. 南京航空航天大学经济与管理学院, 江苏南京 210016

收稿日期:2014-10-29 修回日期:2015-11-09 出版日期:2016-08-20 发布日期:2016-08-24
通讯作者: 刘解放(1980-),男(汉族),河南周口人,河南科技学院数学科学学院讲师,博士,研究方向:灰色系统理论、装备研制管理等,E-mail:liujf101@126.com. E-mail:liujf101@126.com
基金资助:
国际人才引进计划资助项目（FP7-PIIF-GA-2013-629051）；国家自然科学基金资助项目（91324003，71171113，71401051）；国家自然科学基金与英国皇家学会国际合作交流项目（71111130211）；国家科技重大专项（2009ZX11002）；国家社会科学基金资助重点项目（12AZD102）

A Class of New Weakening Buffer Operators Whose Adjustable Intensity Can be Changed and Their Applications

LIU Jie-fang^1,2, LIU Si-feng¹, FANG Zhi-geng¹

1. School of Mathematical Science, Henan Institute of Science and Technology, Xinxiang 453003, China;
2. College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

Received:2014-10-29 Revised:2015-11-09 Online:2016-08-20 Published:2016-08-24

摘要/Abstract

摘要： 在灰色系统缓冲算子公理体系下，根据灰色系统的“新信息优先原理”，构造了一类调节强度可变的弱化缓冲算子，并对其特性进行了研究。针对不同的建模背景，通过调整缓冲算子的参数，可以生成具有不同弱化效果的序列。最后，利用本文提出的缓冲算子，对两个实际案例进行了建模计算，计算结果表明，这类新的弱化缓冲算子能够有效提高GM（1，1）模型的预测精度，解决定量预测结果与定性分析结论不符的问题。

关键词: 缓冲算子, 缓冲强度, 弱化算子, 预测精度

Abstract: Under the axiomatic system of buffer operator in grey system,a class of new weakening buffer operators whose adjustable intensity can be changed are constructed based on the ‘new information priority principle’ of grey system.The new weakening buffer operators are as following:x(k)d₁=x(k)(x(n)/x(k))^α,0 < α < 1,k=1,2,…,n. The new weakening buffer operators are very concise in the form, and are very convenient in the practical application.Then their characters are studied.In view of different modeling background,data sequences with different strengthening effect can be generated by adjusting the parameters of the buffer operator.Finally, the buffer operator that was put forward in this paper was used to the total energy consumption in Henan province in 2003-2009.The calculation results show that these new weakening buffer operators can effectively improve the forecasting accuracy of GM (1,1) model.This can solve the problem that the quantitative prediction results do not tally with the qualitative analysis.

Key words: buffer operator, buffer intensity, weakening operator, forecast precision

中图分类号:

刘解放, 刘思峰, 方志耕. 一类调节强度可变的弱化缓冲算子及其应用研究[J]. 中国管理科学, 2016, 24(8): 172-176.

LIU Jie-fang, LIU Si-feng, FANG Zhi-geng. A Class of New Weakening Buffer Operators Whose Adjustable Intensity Can be Changed and Their Applications[J]. Chinese Journal of Management Science, 2016, 24(8): 172-176.

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一类调节强度可变的弱化缓冲算子及其应用研究

A Class of New Weakening Buffer Operators Whose Adjustable Intensity Can be Changed and Their Applications

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