The paper also presents the problem of fuzzy interpolation on the base of crisp interpolation, and the fuzzy interpolation formula.

First, in view of the basic theory for fuzzy control, this section mainly discusses the interpolation nature of single-input single-output and double-input single-output Mamdani algorithm, and explains the basic idea of fuzzy interpolation, in which the number of control rules can be reduced, improv.

Fuzzy reasoning method is naturally equal to some interpolative method,when rule base is sparse,we can not get any reasoning result by traditional CRI method for an observation is in the gap between two neighboring antecedents,so fuzzy interpolation reasoning was born.