shut vs roll up

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

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

As verbs, roll up is a hyponym of shut; that is, roll up is a word with a more specific, narrower meaning than shut:

Other hyponyms of shut include snap, slat, bang, slam, shutter, draw, bung, seal, seal off.

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

shut (verb)	roll up (verb)
move so that an opening or passage is obstructed; make shut	form a cylinder by rolling
become closed	form into a cylinder by rolling
prevent from entering; shut out	show certain properties when being rolled
	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