Wooden decks are a PITA to maintain, in my opinion. TREX decks are very expensive. Concrete patios are B-O-R-I-N-G. (well, except for all the concrete patios by chance owned by members of LMF :ashamed
If you can lay tile, you can do a stone patio. And it will be virtually maintenance-free. I've done several patios, stone columns, stone walls, etc, and can help you if you want to try it.