If possible, I'd like to know whether to use my name or the website's name when making the copyright notice for my website.

I read here that when I add a copyright notice to my website I should include

(3) the name of the owner of copyright in the work, or an abbreviation by which the name can be recognized, or a generally known alternative designation of the owner.

Would the use of the website name instead of my name be considered a valid "alternative designation of the owner"?

Thanks in advance.