Re: Fuzzy regression

Jive Dadson (jdadson@ix.netcom.com)
Fri, 8 Dec 1995 18:02:16 +0100


I don't know exactly what you mean by "fuzzy regression", but I'm
guessing what you are looking for is the GRNN, "generalized regression
neural network". It is an extension of the statistical work of E.
Parzen done by Donald Specht. The idea is quite simple. Each x,y data
point is assigned a Parzen window, (a.k.a. "fuzzy set"), and the Y
value for an X to be evaluated is computed as a mean value weighted by
the influence each window brings to bear on X.

See _Advanced Algorithms for Neural Networks_, Timothy Masters, John
Wesley and Sons, pub. The principle citation is "A General Regression
Neural Network", Donald Specht, _International Joint Conference on
Neural Networks, Baltimore, MD.

Jive