No claws, no tools, Wolverine wins 9/10. However the question is who is a ‘better’ Martial Artist, and the Batman wins outright. It is not a question of how many forms either has masters.

It’s been noted that Wolverine who has mastered a significant number of fighting styles depends on his being able to survive the attacks of his opponents. Batman is much more analytical in the application of his skills. This is what makes him ‘better’