ceramic ove pressure treated
Not directly on this deck of course. Probably not at all, unless there is the proper slope for water run off.
Pressure treated is not suitable for this purpose. You'd have to use regular exterior grade subfloor, then covered with a cement board and then a membrane either liquid of a product such as Ditra.
The deck needs to be sloped a min. of 1/4" per ft. We would also need to know the unsupported span of the joists to be sure it's not over spanned. We also need to consider wind and other loads such as snow. It also has to be designed with the proper expansion joints as needed.
Tile on an exterior is a pretty risky installation anywhere, more so in colder climates. I probably wouldn't recommend it, especially since I'll bet your deck was built fairly flat.
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