Based on this application methods of Fuzzy Decision and Arithmetic Average Filtering are presented, this topic has special important significance on saving the I/O ports and simplifying the circuit design.

The arithmetic average filtering and the error correction improved the reliability of the system greatly.

This paper analyzes the signal to noise ratio of arithmetic average filter by using the random Variable s digital characteristic, and points out the question which should be paid attention to in practice.

To eliminate the Gibbs phenomena,we adopted the average filter in linear segments which was designed by the former.

Some elementary proof on equivalence of relation between exponential average E(a,b) (=1/e(b~b/a~a)~(1/(b-a)), a, b are non-equal two positive numbers) and arithmetic average M(o,b)(=1/2(a+b)) were given.

In this paper, we analyzed the relationship between the number of drawn sort standards and the total number of national standards by using grey incidence analysis and arithmetic average method, obstained the distributed situation and tendency of the sort standards in recent years, and discussed the relationship between drawn sort standards and national standard systems.

By differential criterion of convex function in several variables,this paper proves that the arithmetic mean involving convex function is convex to upper limit and lower limit of the integral,which improves a result relating to the S-convex function,with the latter proved by Elezovic,N.

Furthermore, a monotonic continuous function joint and separate the weighted arithmetic mean and harmonic mean is given.

For improving the control of subdivision curves, the method based on employing geometric mean instead of arithmetic mean is proposed in the linear four-point scheme, to obtain nonlinear subdivision scheme,and the offset parameters is introduced for improving the control of subdivision curves.