fur hat vs hat

fur hat and hat both are nouns.

Word	Noun	Adjective	Verb	Adverb
fur hat	Yes	No	No	No
hat	Yes	No	Yes	No

As nouns, hat is a hypernym of fur hat; that is, hat is a word with a broader meaning than fur hat:

fur hat: a hat made of fur
hat: headdress that protects the head from bad weather; has shaped crown and usually a brim

Other hypernyms of fur hat include chapeau, lid.

fur hat (noun)	hat (noun)
a hat made of fur	an informal term for a person's role
	headdress that protects the head from bad weather; has shaped crown and usually a brim

fur hat (verb)	hat (verb)
	put on or wear a hat
	furnish with a hat