Based on the deformation of the most basic buffer operator ,the constructing methods of several kinds of new practical buffer operators in which the scopes are greatly broadened are given in this paper, and the inner link among these kinds of buffer operators is pointed out. At the same time, it also reveals the corresponding relation between the strengthening buffer and the weakening buffer. The changes of index , from positive to 0 and them from 0 to negative, lead to the changes of buffer operators from weakening (strengthening) to invariablenes and them from invariablenes to strengthening(weakening), this shows the process from the quantitative change to the qualitative change. Studies have shown that a great amount of existing buffer operators are all special cases of these constructed buffer operators, moreover, it includes a lot of new operators different from the types in common literatures.