In general, try to avoid putting filters on your lens. They will degrade the image no matter what the maker claims. Plus, if you accidentally drop your lens to the ground, a worst-case scenario is your filter breaks and peppers the front element with glass shards making it look like a porcupine. Actually, this has happened to me (ruining a brand new 35/1.4) thus was the last time I used filter for "protection". A lens hood is far superior.
However, there are a few specific situations in which using clear-glass filters is advisable. For example when you can get sea spray or rain on the front element, as wiping off a flat surface is much easier than with a curved front element. ND filters or polarisers have their legitimate fields of application as well.
As to "protecting" the lens/camera from UV, this is a pipe dream as modern camera systems are for all practical purposes blind to UV on their own. Maybe if you are scaling Mount Everest the UV levels are high enough to get through, but then UV would be your least concern any way.