You are using some terminology that I don't recognize, so I'm uncertain if this is responsive, but here goes.
We are faced with "choices" all the time. The things that motivate us to make a particular decision in a choice are called "values." As it happens, values can be roughly divided into categories like aesthetic values, moral values, etc.
Value can conflict (i.e. support inconsistent decisions). Functionally, every person has a table listing all the values that the person finds persuasive. The values are ranked, so that a person faced with a decision where value A supports a different decision than value B knows that the decision to make is to follow the higher ranked value.
Thus, Socrates says that Aristotle made an immoral choice iff Aristotle was faced with a choice that Socrates would decide using moral values, and Aristotle made a different choice than Socrates would make.
Caveats:
Is this what you are asking?
That's a good start. Let's take as given that "morality" refers to an ordered list of values. How do you compare two such lists? Is the greater morality:
Once you decide what actually makes one list better than another, then consider what observable evidence that difference would produce. With a prediction in hand, you can look at the world and gather evidence for or against the hypothesis that "morality" is increasing.
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