preconceived idea vs persuasion

preconceived idea and persuasion both are nouns.

Word	Noun	Adjective	Verb	Adverb
preconceived idea	Yes	No	No	No
persuasion	Yes	No	No	No

As nouns, persuasion is a hypernym of preconceived idea; that is, persuasion is a word with a broader meaning than preconceived idea:

preconceived idea: an opinion formed beforehand without adequate evidence
persuasion: a personal belief or judgment that is not founded on proof or certainty

Other hypernyms of preconceived idea include opinion, sentiment, thought, view.

preconceived idea (noun)	persuasion (noun)
an opinion formed beforehand without adequate evidence	a personal belief or judgment that is not founded on proof or certainty
	the act of persuading (or attempting to persuade); communication intended to induce belief or action