This paper describes a fuzzy rule-based simple interpolation algorithm
for discrete data. A simple interpolation algorithm between two noise
-free points in the Euclidean space is proposed by taking into account
the fuzzy effects of the surrounding points. The advanced algorithm f
or the noisy points is proposed, where interpolation is done by classi
fying the neighboring noisy points into some groups. The validity and
the effectiveness of these methods have been verified by computer simu
lations and by applications to the actual time series noisy data. The
experimental results have provided substantial proofs for practical us
e.