woolly-headed vs muzzy

woolly-headed and muzzy both are adjectives.

Word	Noun	Adjective	Verb	Adverb
woolly-headed	No	Yes	No	No
muzzy	No	Yes	No	No

As adjectives, woolly-headed and muzzy are synonyms defined as:

woolly-headed and muzzy: confused and vague; used especially of thinking

Other synonyms of woolly-headed include addled, befuddled, muddled, woolly, wooly-minded, wooly.

woolly-headed (adjective)	muzzy (adjective)
confused and vague; used especially of thinking	confused and vague; used especially of thinking
	indistinct or hazy in outline