turn a blind eye vs dismiss

turn a blind eye and dismiss both are verbs.

Word	Noun	Adjective	Verb	Adverb
turn a blind eye	No	No	Yes	No
dismiss	No	No	Yes	No

As verbs, dismiss is a hypernym of turn a blind eye; that is, dismiss is a word with a broader meaning than turn a blind eye:

Other hypernyms of turn a blind eye include brush aside, brush off, discount, disregard, ignore, push aside.

turn a blind eye (verb)	dismiss (verb)
refuse to acknowledge	declare void
	bar from attention or consideration
	end one's encounter with somebody by causing or permitting the person to leave
	cease to consider; put out of judicial consideration
	terminate the employment of; discharge from an office or position
	stop associating with