Tekken Tag Tournament exists outside of the true 'Tekken canon,' however. The Tekken storyline is vast and complicated, with a focus on the soap-opera tribulations of the profoundly screwed-up Mishima family (which makes the plot a little like Dallas with martial arts).
The combatants from Tekkens past are itching to rumble, so much so that they're pairing off and traveling the world to take each other on, all in an insatiable quest for knuckle sandwiches, Wind Godfists, and proof of kung-fu superiority in the Tekken Tag Tournament.
The 'King of Iron Fist Tournament 3' is over, but the fighting is far from finished.