suppose vs premise

suppose is not a noun while premise is a noun.

Word	Noun	Adjective	Verb	Adverb
suppose	No	No	Yes	No
premise	Yes	No	Yes	No

As verbs, premise is a hyponym of suppose; that is, premise is a word with a more specific, narrower meaning than suppose:

Other hyponyms of suppose include posit, postulate, premiss.

suppose (noun)	premise (noun)
	a statement that is assumed to be true and from which a conclusion can be drawn

suppose (verb)	premise (verb)
expect, believe, or suppose	take something as preexisting and given
to believe especially on uncertain or tentative grounds	set forth beforehand, often as an explanation
require as a necessary antecedent or precondition	furnish with a preface or introduction
take for granted or as a given; suppose beforehand
express a supposition