IPA: /ˌæksɪəˈlɒdʒɪkli/
KK: /æksɪəˈlɒdʒɪkli/
In a way that relates to values or the study of values and ethics.
The decision was made axiologically, considering the moral implications involved.
Axiologically → It is formed from "axiology" (from Greek "axios", meaning worthy or value, and "logia", meaning study or discourse) and the suffix "-ally" (meaning in a manner relating to). The word "axiologically" refers to something that relates to the study of values or worth.
Think of 'axios' meaning worthy and 'logia' meaning study — so when you hear 'axiologically', remember it relates to the study of what is valuable.