preference vs weakness

preference and weakness both are nouns.

Word	Noun	Adjective	Verb	Adverb
preference	Yes	No	No	No
weakness	Yes	No	No	No

As nouns, weakness is a hyponym of preference; that is, weakness is a word with a more specific, narrower meaning than preference:

Other hyponyms of preference include acquired taste.

preference (noun)	weakness (noun)
grant of favor or advantage to one over another (especially to a country or countries in matters of international trade, such as levying duties)	the property of lacking physical or mental strength; liability to failure under pressure or stress or strain
the right or chance to choose	powerlessness revealed by an inability to act
a predisposition in favor of something	a penchant for something even though it might not be good for you
a strong liking	a flaw or weak point
	the condition of being financially weak