基于新信息优先的强化缓冲算子的构造及应用

戴文战; 苏永

doi:10.3724/SP.J.1004.2012.01329

基于新信息优先的强化缓冲算子的构造及应用

doi: 10.3724/SP.J.1004.2012.01329

戴文战^1,2,,
苏永¹

1.
浙江理工大学自动化研究所杭州 310018;
2.
浙江工商大学信息与电子工程学院杭州 310018

详细信息

通讯作者:
戴文战

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- 被引次数: 0
出版历程
- 收稿日期: 2011-10-24
- 修回日期: 2012-03-01
- 刊出日期: 2012-08-20

New Strengthening Buffer Operators and Their Applications Based on Prior Use of New Information

DAI Wen-Zhan^{1,2
,},
SU Yong¹

1.
Institute of Automation, Zhejiang Sci-Tech University, Hangzhou 310018;
2.
School of Information and Electronic Engineering, Zhejiang Gongshang University, Hangzhou 310018

摘要

摘要: 现实问题中存在这样一类非负单调递增(或衰减)序列,其早期数据增长(或衰减)缓慢,但从最末一个数据开始,系统由于受到外部强烈的激励,最新数据x(n) 大幅增大(或减小),且定性分析的结果也表明这种强激励带来的快速增长(或衰减)的态势在未来还会持续. 针对这样一类序列的预测建模问题,本文在缓冲算子公理体系下,提出了利用最新信息x(n)所反映的序列快速增长(或衰减)的"端倪"构造一类新的强化缓冲算子的方法,给出了相关定理及其详细证明. 理论分析和实证表明,基于新信息优先的强化缓冲算子建立的灰色模型能够有效地提高这类序列的预测精度.
- 新信息 /
- 强化缓冲算子 /
- 增长率 /
- 预测精度
Abstract: In practice, there is a kind of sequence in which its increase(or decrease) rate of the former part is relatively slow but after that end time, the latest data x(n) presents a fast growth(or decline) trend because the system is greatly subject to outside factors. And it is proved by qualitative analysis that this trend will last. For modeling this kind of sequence, novel strengthening buffer operators are put forward based on the prior use of latest information, and the relevant theorems are proved according to the axiomatic of buffer operators. The theoretical analysis and empirical test show that strengthening buffer operators proposed in this paper can effectively increase the forecast precision of grey model.
- New information /
- strengthening buffer operator /
- increase rate /
- forecast precision

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参考文献(1)

[1]

Liu Si-Feng, Dang Yao-Guo, Fang Zhi-Geng, Xie Nai-Ming. Grey System Theory and Its Application (Fifth edition). Beijing: Science Press, 2010. 38-41 (刘思峰, 党耀国, 方志耕, 谢乃明. 灰色系统理论及其应用 (第5 版). 北京: 科学出版社, 2010. 38-41)[2] Liu Si-Feng. The trap in the prediction of a shock disturbed system and the buffer operator. Journal of Huazhong University of Science and Technology, 1997, 25(1): 25-27 (刘思峰. 冲击扰动系统预测陷阱与缓冲算子. 华中理工大学学报, 1997, 25(1): 25-27)[3] Wu Zheng-Peng, Liu Si-Feng, Mi Chuan-Min, Dang Yao-Guo, Cui Li-Zhi. Study on strengthening buffer operator based on fixed point. Control and Decision, 2010, 25(9): 1338-1342 (吴正朋, 刘思峰, 米传民, 党耀国, 崔立志. 基于不动点的新强化缓冲算子及其性质研究. 控制与决策, 2010, 25(9): 1338-1342)[4] Dang Yao-Guo, Liu Si-Feng, Liu Bin, Tang Xue-Wen. Study on the buffer weakening operator. Chinese Journal of Management Science, 2004, 12(2): 108-111 (党耀国, 刘思峰, 刘斌, 唐学文. 关于弱化缓冲算子的研究. 中国管理科学, 2004, 12(2): 108-111)[5] Xie Nai-Ming, Liu Si-Feng. A new applicative weakening buffer operator. Chinese Journal of Management Science, 2003, 11(S): 46-48 (谢乃明, 刘思峰. 一种新的实用弱化缓冲算子. 中国管理科学, 2003, 11(增刊): 46-48)[6] Dang Yao-Guo, Liu Bin, Guan Ye-Qing. On the strengthening buffer operators. Control and Decision, 2005, 20(12): 1332-1336 (党耀国, 刘斌, 关叶青. 关于强化缓冲算子的研究. 控制与决策, 2005, 20(12): 1332-1336)[7] Dang Yao-Guo, Liu Si-Feng, Mi Chuan-Min. Study on characteristics of the strengthening buffer operators. Control and Decision, 2007, 22(7): 730-734 (党耀国, 刘思峰, 米传民. 强化缓冲算子性质的研究. 控制与决策, 2007, 22(7): 730-734)[8] Guan Ye-Qing, Liu Si-Feng. Sequence of strengthening buffer operator and its application based on fixed point. Control and Decision, 2007, 22(10): 1189-1192 (关叶青, 刘思峰. 基于不动点的强化缓冲算子序列及其应用. 控制与决策, 2007, 22(10): 1189-1192)[9] Cui Jie, Dang Yao-Guo, Liu Si-Feng, Xie Nai-Ming. Study on a kind of new strengthening buffer operators and numerical simulations. Engineering Science, 2010, 12(2): 108-112 (崔杰, 党耀国, 刘思峰, 谢乃明. 一类新的强化缓冲算子及其数值仿真. 中国工程科学, 2010, 12(2): 108-112)[10] Cui Li-Zhi, Liu Si-Feng, Wu Zheng-Peng. New strengthening buffer operators and their applications. Systems Engineering Theory and Practice, 2010, 30(3): 484-489 (崔立志, 刘思峰, 吴正朋. 新的强化缓冲算子的构造及其应用. 系统工程理论与实践, 2010, 30(3): 484-489)[11] Wang Zheng-Xin, Dang Yao-Guo, Liu Si-Feng. Buffer operators with variable weights and the complement of axioms. Systems Engineering, 2009, 27(1): 113-117 (王正新, 党耀国, 刘思峰. 变权缓冲算子及缓冲算子公理的补充. 系统工程, 2009, 27(1): 113-117)[12] Wang Zheng-Xin, Dang Yao-Guo, Pei Ling-Ling. The smoothness of buffer operators. Systems Engineering Theory and Practice, 2010, 30(9): 1643-1649 (王正新, 党耀国, 裴玲玲. 缓冲算子的光滑性. 系统工程理论与实践, 2010, 30(9): 1643-1649)

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