一类幂弱化缓冲算子及其性质研究-控制与决策.PDF

第27 卷 第10 期 控 制 与 决 策 2012 年 10 月 Vol. 27 No. 10 Control and Decision Oct. 2012 文章编号: 1001-0920(2012)10-0000-00 一类幂弱化缓冲算子及其性质研究 1 2 2 王正新 , 党耀国 , 刘思峰 (1. 浙江师范大学经济与管理学院，浙江金华321004；2. 南京航空航天大学经济与管理学院，南京210016) 摘 要: 针对经典弱化缓冲算子的固定结构问题, 将可变参数引入弱化缓冲算子, 构造若干实用的幂弱化缓冲算子, 并分析可变参数与幂弱化缓冲算子作用强度之间的关系. 通过调整可变参数的数值, 实现对算子作用强度的有效控 制. 结果表明, 经典弱化缓冲算子是幂弱化缓冲算子的特殊情形, 幂弱化缓冲算子在控制作用强度方面的有效性要明 显优于传统缓冲算子. 最后, 通过实例验证了幂弱化缓冲算子的有效性与优越性. 关键词: 灰色系统；幂弱化缓冲算子；可变参数；预测 中图分类号: N941.5 文献标志码: A A sort of power weaken buffer operators and its properties 1 2 2 WANG Zheng-xin , DANG Yao-guo , LIU Si-feng (1. School of Economics and Management，Zhejiang Normal University ，Jinhua 321004 ，China ；2. College of Economics and Management，Nanjing University of Aeronautics and Astronautics ，Nanjing 210016, China ．Correspondent ：WANG Zheng-xin ，E-mail ：jenkin226@163.com) Abstract: For the problem of the fixed structure of classic weaken buffer operators, this paper introduces variable parameters into weaken buffer operator, constructs a number of practical power weaken buffer operators and analyzes the relationship between the intensity and variable parameters in order to effectively control the intensity of the weaken buffer operators. The results show that the classical weaken buffer operators are special cases of power weaken buffer operators which are superior to the traditional operators in the aspect of the controlling the intensity. Finally, an example of a product sales show the effectiveness and superiority of the power weaken buffer operators. Key words: grey system ；power weaken buffer operator ；variable parameters