Fixed for TXS ≥ 2.12.9 (git b1157fa)
The issue has been fixed in the developmental snapshot, which can be downloaded from
Future released (official) versions from 2.12.10 onwards will not need the below workaround.
Workaround (TXS ≤ version 2.12.8)
Note: As suggested in the comments, \bigl( and \bigr) etc. are recommended instead. These are defined in latex-mathsymbols.cwl, so they may require a similar fix.
There's no elegant way about it now, if the other commands from latex-document.cwl are affected from disabling it, you can copy-paste its entire contents from the source code and proceed similarly with tempfix.cwl for now.
Seems to be a mis-categorization bug in the implementation of the classification format of commands in latex-document.cwl and latex-mathsymbols.cwl. You can't edit this directly because it is compiled into the executable. I'll offer an alternative for now:
Create a new tempfix.cwl file using notepad or some other text editor.
Go to the project page and copy the contents of latex-document.cwl and latex-mathsymbols.cwl into tempfix.cwl.
Then replace the relevant \big(, \bigl( etc. commands with: (Essentially remove the K and M classification from #mK or #mM.)
\Big(%|\Big)#m
\Big[%|\Big]#m
\Big|%|\Big|#m
\big(%|\big)#m
\big[%|\big]#m
\big|%|\big|#m
\Bigg(%|\Bigg)#m
\Bigg[%|\Bigg]#m
\Bigg|%|\Bigg|#m
\bigg(%|\bigg)#m
\bigg[%|\bigg]#m
\bigg|%|\bigg|#m
\Bigl(%|\Bigr)#m
\Bigl[%|\Bigr]#m
\Bigl|%|\Bigr|#m
\bigl(%|\bigr)#m
\bigl[%|\bigr]#m
\bigl|%|\bigr|#m
\Biggl(%|\Biggr)#m
\Biggl[%|\Biggr]#m
\Biggl|%|\Biggr|#m
\biggl(%|\biggr)#m
\biggl[%|\biggr]#m
\biggl|%|\biggr|#m
\Bigr#m
\bigr#m
\Biggr#m
\biggr#m
Place tempfix.cwl in the ./config/completion/user/ folder (see here if you're unsure where this is), and restart TeXstudio.
Check the testfix.cwl in Configure TeXstudio -> Completion, and uncheck latex-document.cwl, latex-mathsymbols.cwl.

Close the options dialog, then from the top bar, Idefix -> Refresh structure if necessary to 'refresh' the commands recognition.
This should be fixed in the next release (> TXS version 2.12.8).
Test file:
\documentclass{article}
\begin{document}
$
\Big(x+y\Big)
\Big[x+y\Big]
\Big|x+y\Big|
\big(x+y\big)
\big[x+y\big]
\big|x+y\big|
\Bigg(x+y\Bigg)
\Bigg[x+y\Bigg]
\Bigg|x+y\Bigg|
\bigg(x+y\bigg)
\bigg[x+y\bigg]
\bigg|x+y\bigg|
\Bigl(x+y\Bigr)
\Bigl[x+y\Bigr]
\Bigl|x+y\Bigr|
\bigl(x+y\bigr)
\bigl[x+y\bigr]
\bigl|x+y\bigr|
\Biggl(x+y\Biggr)
\Biggl[x+y\Biggr]
\Biggl|x+y\Biggr|
\biggl(x+y\biggr)
\biggl[x+y\biggr]
\biggl|x+y\biggr|
$
\end{document}

\bigl(...\bigr)is better, i.e. you should include anlorrto indicate an opening or closing fence. Maybe that can help TeXstudio. Anyway this should only be a message by your editor and not a TeX warning or error. So you can safely ignore it. – moewe Jun 16 '18 at 10:03lorr. Suddenly it recognize\big(but not\big)or\bigg(. Thank you for your answer! – Fotis K Jun 16 '18 at 10:11Configure TeXstudio -> Completion: Islatex-document.cwlchecked? If not, try to check it and see if it helps. (It should: the\bigcommands are defined in it.) – Troy Jun 16 '18 at 12:39latex-document.cwlis checked but not fix it – Fotis K Jun 16 '18 at 13:40