wooly-minded vs muzzy

wooly-minded and muzzy both are adjectives.

Word	Noun	Adjective	Verb	Adverb
wooly-minded	No	Yes	No	No
muzzy	No	Yes	No	No

As adjectives, wooly-minded and muzzy are synonyms defined as:

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

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