wooly vs muzzy

wooly and muzzy both are adjectives.

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

As adjectives, wooly and muzzy are synonyms defined as:

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

wooly (adjective)	muzzy (adjective)
confused and vague; used especially of thinking	confused and vague; used especially of thinking
covered with dense often matted or curly hairs	indistinct or hazy in outline
having a fluffy character or appearance