It seems that everyone has a thought on what fine art photography should be and the problem is that each one is a bit different.
My own thoughts:
Fine art photographs are an expression of the artist vision in the photo medium, as a canvas to a painter or a piece of clay or stone to a sculptor. This expression could be carried out anywhere in the workflow of the medium, from the actual composition and subject, to the processing technique used, as long as it is meant to express the artist vision for that particular piece.
Here are a few of my favorites fine art photographers, even though some of them may not consider themselves as such: