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.