Please see the comp.ai.genetic FAQ for further information. Fuzzy Logic is an area of research based on the work of L.A. Zadeh. A typical fuzzy system consists of a rule base, membership functions, and an inference procedure. Fuzzy Sets, Uncertainty, and Information Prentice-Hall, Englewood Cliffs, N.J., 1988. There is considerable overlap between the fields of neural networks and statistics.
Statistics is concerned with data analysis.
In neural network terminology, statistical inference means learning to generalize from noisy data. But most neural networks that can learn to generalize effectively from noisy data are similar or identical to statistical methods. Feedforward nets with one hidden layer are closely related to projection pursuit regression. Probabilistic neural nets are identical to kernel discriminant analysis. Kohonen nets for adaptive vector quantization are very similar to k-means cluster analysis.