Fréchet derivative for linearly correlated fuzzy function

This article introduces the concept of linearly correlated Fréchet derivative for fuzzy processes. For linearly autocorrelated fuzzy functions, a practical method to calculate the Fréchet derivative is given. Moreover, we have shown that the Fréchet derivative is given by the derivative of appropriate standard functions and this concept is illustrated by several examples. Finally, we show that under certain conditions, the Fréchet derivative coincides with that given by interactive fuzzy arithmetic.