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.

'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
'die Meinung' and 'die Auffassung' can both describe how someone understands or judges a topic. 'Meinung' is very normal in everyday language and is personal. 'Auffassung' sounds somewhat more formal and often emphasizes how someone interprets or understands something. You are more likely to hear it in discussions, texts, or factual conversations. For simple everyday sentences, 'Meinung' is usually more natural. 'Auffassung' fits well when you are talking about a particular view or interpretation.

In dem Artikel erklärt die Autorin ihre Auffassung von guter Bildung.
In the article, the author explains her view of good education.
Sie sagt, dass ihre Meinung zu dem Termin noch nicht feststeht.
She says that her opinion about the appointment has not been settled yet.