muzzy vs woolly-headed

muzzy and woolly-headed both are adjectives.

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

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

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

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

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