A Kind of Center of Gravity Fuzzy System.

In this paper, we provide a method of constructing joint probability density function and fuzzy system by using fuzzy inference based on a set data of input-output. Firstly, we build fuzzy relation and derive the joint probability density function. Secondly, we discuss the marginal density function and numerical characteristic of the joint probability distribution, including mathematical expectation, variance and covariance. Finally, using probability distribution in this paper, we work out the corresponding the center of gravity fuzzy system and show the fuzzy system is an universal approximator.