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新变权缓冲算子的构造方法及其内在联系
引用本文:高岩,周德群,刘晨琛,章玲.新变权缓冲算子的构造方法及其内在联系[J].系统工程理论与实践,2013,33(2):489-497.
作者姓名:高岩  周德群  刘晨琛  章玲
作者单位:1. 山东大学 工商管理博士后流动站, 济南 250100; 2. 南京航空航天大学 经济与管理学院, 南京 210016; 3. 济宁医学院 信息工程学院, 日照 276826
基金项目:国家社会科学基金(10BTY031);国家自然科学基金(70873058,71101070);山东大学自主创新基金(2011CN024);中国博士后面上基金(2012M511043)
摘    要:针对传统缓冲算子不能实现作用强度的微调, 从而导致缓冲作用效果过强或过弱的问题,构造了几类新的变权缓冲算子,探讨了这几类变权缓冲算子的内在联系,揭示了变权强化缓冲与变权弱化缓冲的对应关系,研究了变权缓冲算子调节度与可变权重之间的关系.结果表明,变权缓冲算子对序列的调节度与可变权重同(反) 方向变化,与γ 取值无关, 且现有算术变权缓冲算子和几何变权缓冲算子均是所构造变权缓冲算子的特例.

关 键 词:灰色系统  变权缓冲算子  作用强度  预测  
收稿时间:2010-10-26

Constructing methods of new buffer operators with variable weights and their inner link
GAO Yan,ZHOU De-qun,LIU Chen-chen,ZHANG Ling.Constructing methods of new buffer operators with variable weights and their inner link[J].Systems Engineering —Theory & Practice,2013,33(2):489-497.
Authors:GAO Yan  ZHOU De-qun  LIU Chen-chen  ZHANG Ling
Institution:1. Business Administration Post Doctor Research Station, Shandong University, Jinan 250100, China; 2. College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China; 3. College of Information and Engineering, Jining Medical University, Rizhao 276826, China
Abstract:Traditional buffer operators can not realize fine tuning of effect intensity, which leads to problems that the effectiveness of buffer action may be too strong or too weak. Considering this situation, several kinds of new buffer operators with variable weights are constructed in this paper, and the inner link among these operators is proposed. At the same time, the corresponding relationship between the strengthening buffer with variable weights and the weakening buffer with variable weights is revealed. The relationship between the regulation degree of buffer operator and their variable weights is defined. The results show that, the regulation degree and variable weights change as the same (opposite) direction, and have nothing to do with γ. The arithmetic buffer operators with variable weights and the geometry buffer operators with variable weights are all special cases of these constructed buffer operators with variable weights.
Keywords:grey system  buffer operator with variable weights  effect strength  forecasting
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