基于反向累积法的弱化缓冲算子序列研究

中国管理科学 ›› 2009, Vol. 17 ›› Issue (3): 136-141.

基于反向累积法的弱化缓冲算子序列研究

吴正朋^1,2, 刘思峰², 米传民², 王建玲², 崔立志²

1. 中国传媒大学理学院应用数学系, 北京 100024;
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:2008-01-21 修回日期:2009-04-26 出版日期:2009-06-30 发布日期:2009-06-30
作者简介:吴正朋(1964- ),男(汉族),中国传媒学理学院应用数学系,博士后,研究方向:管理科学与工程、数量经济学.
基金资助:
国家自然科学基金(70473037);江苏省博士后基金项目(0801041C)

Study on the Sequence of Weakening Buffer Operators Based on Back Cumulative-Sum Method

WU Zheng-peng^1,2, LIU Si-feng², MI Chuan-min², WANG Jian-ling², CUI Li-zhi²

1. Department of Applied Mathematics, Beijing Broadcasting Institute, Beijing 100024, China;
2. College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjng 210016, China

Received:2008-01-21 Revised:2009-04-26 Online:2009-06-30 Published:2009-06-30

摘要/Abstract

摘要： 以现有的弱化缓冲算子为出发点,在灰色系统理论缓冲算子公理体系下,利用反向累积和的概念,构造了一类新的弱化缓冲算子,讨论了其相互关系及其性质,最后给出一个算例,验证了该算子序列的有效性和实用性,为解决冲击扰动系统再建模预测过程中出现的定量预测结果与定性分析结论不符的问题提供了解决的方法.

关键词: 反向累积法, 弱化缓冲算子, 预测与决策

Abstract: Based on the present theories of buffer operators and the back cumulative-sum method,this paper proposed a kind of buffer operators,which all have the universality and practicability. First, proved it to be weakening buffer operator,and at the same time,gave an example to illustrate our theory, which is very useful in qualitative analysis in some extent.

Key words: back cumulative-sum method, weakening buffer operator, forcasting and decision-making

中图分类号:

吴正朋,刘思峰,米传民, 等. 基于反向累积法的弱化缓冲算子序列研究[J]. 中国管理科学, 2009, 17(3): 136-141.

WU Zheng-peng,LIU Si-feng,MI Chuan-min, et al. Study on the Sequence of Weakening Buffer Operators Based on Back Cumulative-Sum Method[J]. Chinese Journal of Management Science, 2009, 17(3): 136-141.