
die Auffassung
view / opinion
A personal opinion, view, or interpretation of a particular topic.
Meiner Auffassung nach ist diese Entscheidung falsch.
In my view, this decision is wrong.
view / comprehension
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view / opinion
A personal opinion, view, or interpretation of a particular topic.
Meiner Auffassung nach ist diese Entscheidung falsch.
In my view, this decision is wrong.

comprehension
The ability to grasp and understand something mentally; comprehension. Often used in the phrase 'eine schnelle/langsame Auffassung haben' (to be quick/slow on the uptake).
Dank seiner schnellen Auffassung konnte er das komplexe Problem sofort lösen.
Thanks to his quick comprehension, he was able to solve the complex problem immediately.
'Die Auffassung' (view/comprehension) is the nominalization of the separable verb 'auffassen' (to understand/interpret). 'Auffassen' means to mentally 'grasp' or comprehend something. This origin explains both meanings: the way one interprets something (opinion), and the ability to understand something (comprehension).
Er fasst neue Konzepte immer sehr schnell auf.
He always grasps new concepts very quickly.
To express a personal opinion, the fixed expressions 'meiner Auffassung nach ...' (in my view ...) or 'Ich bin der Auffassung, dass ...' (I am of the view that ...) are often used.
Meiner Auffassung nach sollten wir das Projekt verschieben.
In my view, we should postpone the project.
To describe a person's mental ability, 'Auffassung' is often combined with the verb 'haben' (to have) and an adjective such as 'schnell' (quick) or 'langsam' (slow).
Die neue Mitarbeiterin hat eine sehr schnelle Auffassung.
The new employee is very quick on the uptake.
opinion
Both die Meinung and die Auffassung can express a personal position on a matter. „Meinung“ sounds more general and is especially suitable for an expressed view, while „Auffassung“ sounds more formal and more strongly suggests a particular interpretation. Use „Auffassung“ mainly in factual or more formal conversations.

Nach Prüfung der Zahlen vertrat die Leiterin die Auffassung, dass der Plan geändert werden muss.
After reviewing the figures, the manager held the view that the plan had to be changed.
Meine Meinung zu dem Plan habe ich gestern im Team offen gesagt.
I openly stated my opinion on the plan to the team yesterday.