Yup on Ps3. If you decide to get it for Ps4 you don't have to have PS+ to play it online. I can tell you now though that I have been playing the beta for FF XIV and man it is a really fun game. I'd say it' worth the sub price if that is one of the only games you'd be dedicating your time with.
In an interview, Shuhei Yoshida made a comment:
Finally, he was asked if players will need a PS Plus subscription to play MMORPGs like Final Fantasy XIV: A Realm Reborn and The Elder Scrolls Online: