中文摘要：

针对如何选择合适的缓冲算子以提高模型精度的问题，系统地研究缓冲算子调节度与光滑度的内在关系，并对平均强化缓冲算子（ASBO）、几何平均强化缓冲算子（GASBO）、加权平均强化缓冲算子（WASBO）和加权几何平均强化缓冲算子（WGASBO）的调节度与光滑度进行了比较研究，给出了若干定理．理论证明和数字仿真结果都验证了定理的正确性．

英文摘要：

How to choose a suitable kind of buffer operator is very important in practice. Therefore, the characters of traditional kinds of operator and their inherent relationship between regulation degree and smoothness degree are studied. Then, comparative studies on the relationship are conducted among average strengthening buffer operator（ASBO）, geometry average strengthening buffer operator（GASBO）, weigh average strengthening buffer operator（WASBO）, and weigh geometry average strengthening buffer operator（WGASBO）. Some theorems about regulation degree and smoothness degree are proposed. Finally, the theoretical analysis and empirical test show the correctness of the theorems.