We say "turn the fan up" when we want to increase the speed of the fan. That means the room will be cooler.
We say "turn the fan down" when we want to decrease the speed of the fan. That means the room will be less cool.
In some hot countries, air conditioners are supposed to make room cooler.
In other countries, air conditioners can be set to make room cooler in summer. But in winter, they can be set to make room warmer.
Say, There is an air conditioner in a room and it is making the room cool.
Now, Can I say "turn the air conditioner up" when I want it to make the room cooler (ie lower the temperature of the room)?
Can I say "turn the air conditioner down" when I want it to make the room less cool (ie increase the temperature of the room a bit)?