I've also been looking for something like that for several years. Everything
I've seen (so far) could be handled quite nicely with Bayesian probability,
decision theory, or control theory. Perhaps my mind has just been poisoned with
too much Western empiricism. I never even knew "Western" was a dirty word.
I've read the Tao Te Ching a dozen times, and freely confess I find a lot more
in common between David Hume and Lao Tsu than between the latter and the fuzzicists.
I haven't given up though. If there's something to get, maybe someday I'll
get it.
While we're searching, take a peek at another generalization of yes/no logic
to the interval zero/one.
http://omega.albany.edu:8008/JaynesBook.html
That's the happiest find I've come across in a long time! It's a book that
E. T. Jaynes has been working on, apparently, for forty years. In chapter
one it shows how different logic rules with (possibly) uncertain antecedents,
predicates, and conclusions correspond to different applications of the Bayes
theorem. Fun stuff.
Best regards,
Pete