I know this question has no relevance to the analysis, but it seems some friends about all the information they contain mathematical topics. So please forgive me I have a question about about fuzzy differential which i say it.My professor says that my solution is wrong,but i believe it is right.According to papers and books related to this problem,which i read,my solution is right. If you can, please send the correct answer for me. Let $f:\mathbb R \to \mathbb R_f$ with $f(t)=(1,2,3)t$ be a function. We're investigating whether or not the existing Hukuhara derivative and generalized Hukuhara derivative at $t_0 =0$ . According to definition:
$f'(x)=\lim_{h\to 0}\dfrac{f(x+h) \ominus_H f(x)}{h} =\lim_{h\to 0}\dfrac{[(1+\alpha)(x+h),(3-\alpha)(x+h)] \ominus_H [(1+\alpha)(x),(3-\alpha)(x)]}{h}=\lim_{h\to 0}\dfrac{[(1+\alpha)(x+h-x),(3-\alpha)(x+h-x)]}{h}=[(1+\alpha),(3-\alpha)]=(1,2,3) $
And generalized Hukuhara derivative is equal with Hukuhara derivative.Can you tell me what is wrong? If writing answer was too hard take a picture and send me the photo.so Thanks.