Center of Gravity Fuzzy System and Its Probability Representation Theory
Wang De-yin · Journal of Shenyang Normal University · 2010
In this paper,the center of gravity fuzzy system and its probability representation theory is studied.Firstly,a set of input-output data is transferred into fuzzy inference rules,then the joint probability density function for some binary random variable and the center of gravity fuzzy system are derived by choosing associate pair of R0-implication as fuzzy implication operator.Secondly,the numerical characteristics such as mathematical expections,variances and covariances are obtained.Finally,the sufficient conditions of universal approximations for the fuzzy system is given.