I loved it, my wife loved it, everyone I know who's seen it loved it.
It's a movie about a billionaire who dresses in a bat suit and fights crime, especially when summoned by the "bat signal." That should be the first clue that the world of Gotham isn't exactly parallel to our own, similarities notwithstanding.
If you aren't interested in suspending some disbelief and answering superhero-movie-type plot questions yourself, TDKR is definitely not for you. Personally, I'm glad this movie didn't ponderously try to explain itself at every turn. Left room for my imagination to have some fun.