Logic of normative/value-based inferences

Hello, Your Honor,
In your book “Truth and Unstable,” you described synthetic logic and its structure in scientific/factual questions.
My question is, is there an organized logical system for inferences in the normative/value domain as well? Is it different from the system you described or is it the same system? If so, how does it work in the aforementioned domain – how to arrive at a ‘correct’ answer (to a reasonable extent) in questions of morality or aesthetics?
If you wrote about this and I missed it, the reference would be sufficient. In any case, thank you.