The phrase "a hazy notion of" is correct and usable in written English.
It can be used when describing an unclear or vague understanding of a concept or idea.
Example: "She had a hazy notion of what the project entailed, but she needed more information to proceed confidently."
Alternatives: "a vague idea of" or "a blurred understanding of".
Despite their close relationship, Bush had only a hazy notion of what role a national security adviser should play.
If you liked electric guitars but hated heavy metal and had even a hazy notion of what Derrida was about, it was a marvellous time.
With such missions, the Special Forces officers are doing what United States troops abroad have regularly done: imprinting images of America on a people who might have only a hazy notion of the nation and its principles.
Unflattering comparisons are a well-worn campaign tactic, and many Americans have only a hazy notion of the tea party movement.
However, they have, in general, only a hazy notion of the population risk of breast cancer and their own risk in relation to this.
But even when "dating" is a hazy notion for sixth-graders, the conversations can feel squirmy and self-conscious.
Mr. Higgins's performance registers the notion of a man who papered over his hazy notions of his own identity with borrowed gestures but it seldom conveys the commanding spirit and drive of a champion who mesmerized fans.
The imminent arrival of his third child draws up hazy notions of his stepmother miscarriaging, while his own mother died in childbirth.
With the haziest notion of what an essay or even a paragraph might look like, Tony enrolled in college, won a scholarship to university, graduated with a first and got a job with Kids Company, mentoring youngsters who reminded him of his old self.
To many Arab minds, it has blurred distinctions between such territorial conflicts and the hazier notion of striking "crusaders" and Muslim "collaborators" elsewhere.More police work, combined with bigger efforts by Muslims themselves, may defeat the jihadis in the long run.
