基于反向累积法的强化缓冲算子序列的研究

Study on sequence of strengthening buffer operator based on back cumulative-sum method

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l阶反向累积和算术平均强化缓冲算子及l阶反向累积和几何平均强化缓冲算子.给出并证明了其强化缓冲算子的性质和算子作用后序列之间的大小关系.该类算子具有普适性,当阶数等于1时即为党氏强化缓冲算子.最后通过一个实例验证了该算子的有效性.

Under the grey systems theory buffer operations＇ axiom, based on the present strengthening buffer operator, using the concept of back cumulative-sum, this paper proposes new buffer operators, l-BCASBO and l- BCGASBO. Their characters and the relationship of data series after cumputing are studied by these two kinds of operators, which are general Operators. When l is 1, they are Dang＇s strengthening buffer operators. Finally, an example shows the effectiveness of the operators.