There is a general conception the temperaments: Ji, Je, Pi, & Pe are derived from functions. If you ask a person on this board what introverted judgment is, they will tell you it is either introverted thinking or introverted feeling. But introverted judgment is not derived from introverted thinking & introverted feeling; it exists before these, on a more basic level. Infact, there is an equal amount of introverted judgment in the function Fi as there is in Fe.
Now, being the good willed person I am, I am going to show you how I know this using dimensions and probability. Here is a dimensional representation of the 8 functions:
Dimension 8: Ni - Si - Te - Fe - Ti - Fi - Ne - Se
In the above model, functions progress from Ni internal dynamics of fields to Se external statics of objects, in a step by step fashion. Ni & Se are the polar elements; they represent two kinds of extremes.
Dimension 2: subject - object
This is the most basic distinction which can be made. Ni represents an extreme emphasis on the subject, Se on the object
Dimension 4: Pi - Je - Ji - Pe
This is a representation of the 4 temperaments. Pi functions are highly subjective, Pe functions are highly objective. The Je functions have a strong subjective bias, Ji has an objective bias; but both have levels of both objectivity & subjectivity.
Now, here is what happens if these dimensions are compounded on top of one another:
And looking at this graph, one would conclude by tracing backwards that, for example, Ti & Fi basically define introverted judgment. But there is a flaw in this, and here it is:
We have only considered dimensions 2, 4, & 8. We forgot all the dimensions in between. Now, what would such a comprehensive dimensional spread look like? It would look like this:
And this ^ is the only correct way of thinking about functions, or temperaments, or any of these things. In this model the most direct descendant of introverted judgment is Ti. Fe & Fi have an equal association with Ji, and Ne & Te have slight associations. Consider that some level of introverted judgment is necessary to make any kind of moral judgment, regardless of whether it is Fe or Fi.
This is true for all temperaments, and holds true for even types and subtypes, and also reinin dichotomies.