One is to demolish your concrete patio completely and then build a wooden one as the replacement of concrete base.
Build a low deck over concrete patio.
Check the drainage of the concrete patio.
Lay the joists across the concrete perpendicular to the house wall at 16 inches on center.
Concrete screws decking flashing tape plastic shims self leveling compound treated 2x4s.
First laying deck boards on top of the existing patio without any joists to secure it from below will be free to move twist or just feel bouncy as you walk on it.
If the damage to your concrete patio appears too far gone consult with a local trexpro.
Layout the deck.
How to build a wood deck over a concrete patio step 1.
Building on top of the concrete slab patio is not a good idea for a few reasons.
Fill in any spots where rainwater pools with either self leveling.
Cracks and craters with minimal growth may still be covered without issue but be cautious if an area of your patio sinks year after year.
For a good conditioned concrete base building a raised deck is easy.
Now you are ready to deck over the low deck joist system as you would on any deck.
Thick pvc trim 3 16 x 3 1 4 in.
How to build a deck over an existing patio slab with low clearance.
Or you can use the slab as the base of the deck and use wood as the top of this deck.
Plan the layout of your sleepers.