|The Amazing Saberman|
Hmm... I feel that giving Doom access to his Doombots would be too much of an advantage. Then again, Batman know Gotham like the back of his hand, so that gives him a pretty big home-field advantage. I'm going to assume that they both have the same amount of prep-time here, with Batman having access to all the technology in his cave.
I'm gonna say Batman.
Bruce wouldn't be stupid enough to take on Doom and his army of robots in a head-on assault. He would use guerrilla tactics and keen observation of his foe while trying to determine where the REAL Doom resides. The home-field advantage would make capturing the Dark Knight almost impossible. Also, keep in mind that Doom's weakness has always been his ego. He's fighting, essentially, a man in a bat costume. Doom is a dictator who fights the world's smartest man and three other of the world's most powerful heroes on a regular basis. There's NO WAY he wouldn't underestimate Batman, and Bruce would use this to his advantage. It would be the battle to end ALL battles, but i think Batman would succeed in the end, though probably at great cost, as I'm sure most of Gotham (if not all) would be destroyed in the process. All-in-all, Batman might not even consider it a true victory due to the price he paid for it. It might even cause him to break his "no kill" rule.