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The phrase "a fuzzy understanding" is correct and usable in written English.
It can be used to describe a vague or unclear comprehension of a subject or concept.
Example: "After the lecture, I left with a fuzzy understanding of the complex theories discussed."
Alternatives: "a vague grasp" or "a hazy comprehension."
Exact(2)
But to some, such a fuzzy understanding of what has become a critical monetary policy tool is not enough.
The museum's early beginnings in New York combined with an unclear mission created a fuzzy understanding among project leaders for precisely what was needed.
Similar(56)
The odd thing about Armey's statement was that it displayed a fuzzy, unscientific understanding of the brain itself: our most compassionate (or cowardly) feelings are as much a product of the brain as "rational choice" economic theory is.
But she seemed to have no trouble understanding the CNN interviewers over a fuzzy Skype connection.
A fuzzy dog seeks inspiration.
He walks a fuzzy line.
It's a fuzzy path.
That is a fuzzy forecast.
A fuzzy sameness blurs the descriptions.
But Daume is a fuzzy, uninteresting figure.
A fuzzy female voice offers clues.
More suggestions(3)
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com