Can underfloor heating be installed under the wooden floor ?

I was wondering if underfloor heating can be installed under any kind of surface or just under the tiles?
And under what surfaces it can be installed?How is the underfloor heating different in comparison to radiators?
I have gas radiators and they heat the room quickly but then I cannot breath in the room from dryness in the air
and when I let the fresh air in the room it is cold quickly.I always need to dress in few layers in my room.
But in my friends house, water radiators tend to heat room and walls and it is wonderfully warm and I can walk around in short sleeves.
So what is it like with underfloor heating?
Also is that good for ones health?Some say that underfloor heating is not good because of the veins
and blood pressure.But my feet are always cold so this can actually be a good thing.I just don’t want to pave
all of my floors in tiles but I want to have wooden ones?

Thanks