Suggestion in American English:
When prioritizing messages, the operator must be able to clearly correlate the increase in relevance and needed attention to required actions, even if he is only vaguely aware of this fact/occurrence (what is happening).*

*Not sure what the Arbeiter peripher wahrnimmt, but you should have additional context. Also, you might consider using the more direct "you" instead of "the operator" (of course, you would have to be sure to be consistent throughout your document).

HTH,
Kristina

Message priority should be indicated clearly so that the user can quickly and easily determine the relevant action to take whether he or she is experienced with the respective
process or not.