Fuzzy logic was pretty closely tied to Neural Networks at one point (80s to early 90s?) in terms of which researchers talked about them and even just which books info about them was located in. I think dedicated analog fuzzy logic chips were, as you say, steamrolled by Moore's Law.

(My zorojushi rice cooker still mentions fuzzy logic, but they must be just implementing the fuzzy "transfer function" with an mcu at this point, right?)