Finger picking patterns are written using tablature and standard music notation.
There is no need to read conventional music notation as all the music is written in easy-to-read mandolin tablature.
Tablature is a music notation system that allows guitar players to learn their favorite songs without having to know how to read music.
This kind of music notation is probably more helpful for the serious student of classical guitar rather than the hobbyist looking to play modern music.
Traditional music notation has time signatures, rests, holds, ties, etc. that inform the player about how the music relates to time.