Difference between monitor screen materials?

I'm looking at buying a new monitor and have noticed a difference between materials. Some screens feel a little "rough" and have a foggier look, compared the the "smooth" clear screens. The smooth screens feel like an iPhones screen and look like it too, but online there's nothing that states what kind of screen it is. I personally like the smoother more crisp screens more than the foggier rough screens. What's the correct terminology for the screens, because nothing on the sale websites says what material the screen is.

Matt screens are there to reduce glare and get scratched less easily than glossy screens.
There's no obvious difference in "crispness" of image, that is more of a resolution and light type (LCD or LED) sort of issue.

Oscar got it right except for the spelling of "matte" (pronounced mat).

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