On the Convergence of a Fuzzy Logic System

This paper puts forwards the concepts of fuzzy generalized distance and fuzzy generalized convergence, and studies their properties based on the pure Mamdani fuzzy logic system which is used widely in theory and practice. Based on feature combination algorithm, this paper proves the system lattice convergence, and puts forward a method to partition input state space and output state space. After this, center and radius of control region are presented.