Interpolation representations of fuzzy logic systems

Interpolation functions, which can represent fuzzy logic system (FLS) models, are investigated. Since interpolation is a basic tool for function approximation and since FLS has been shown to be a function approximator, interpolation functions can be established for these models. To establish and to explore these interpolations, some features, which are regarded as basic conditions on interpolation of FLS, are first introduced. Then, several interpolation functions of the frequently used FLS models are established and proved. Finally, a general model is suggested based on the results.