Given some data pairs (X~/sub i/, Y~/sub i/), 1/spl les/i/spl les/k, of fuzzy numbers, we are interested in finding a fuzzy function F which best fits the given data. Because of fuzzy arithmetic, we cannot compute a fuzzy function with F(X~/sub i/)=Y~/sub i/ for all i, as in the crisp case. Therefore, we used a genetic programming approach to find a suitable fuzzy function. We present some tests and argue that this method is quite suitable for obtaining a fuzzy function which can explain the given data.
['Thomas Feuring', 'Wolfgang Golubski', 'Mike Gassmann']
Fuzzy regression: a genetic programming approach