Is the city in which Fruits Basket is set ever identified? Fruits Basket appears to be set in a real Japanese city.
Is it ever explicitly stated which one?
If not, is it possible to deduce which one, or at least which part of Japan it's supposed to be?

(I'm more interested in the answer vis-a-vis the manga, but if there's a clue in the anime, that would be fine too.)
It does not state their location in the anime or the manga. It is however commonly believed that Fruits Basket takes place in a more rural area of Tokyo Japan.