roll up vs shut

roll up is not an adjective while shut is an adjective.

Word	Noun	Adjective	Verb	Adverb
roll up	No	No	Yes	No
shut	No	Yes	Yes	No

As verbs, shut is a hypernym of roll up; that is, shut is a word with a broader meaning than roll up:

Other hypernyms of roll up include close.

roll up (adjective)	shut (adjective)
	not open
	used especially of mouth or eyes

roll up (verb)	shut (verb)
form a cylinder by rolling	move so that an opening or passage is obstructed; make shut
form into a cylinder by rolling	become closed
show certain properties when being rolled	prevent from entering; shut out
make into a bundle
close (a car window) by causing it to move up, as with a handle
arrive in a vehicle:
get or gather together