Yes definitely. I’ve omitted examples from software and math because there’s no “fuzziness” to it; that kind of abstraction is already better-understood than the more probabilistically-flavored use-cases I’m aiming for. But the theory should still apply to those cases, as the limiting case where probabilities are 0 or 1, so they’re useful as a sanity check.
I do want to note that probabilities 0 and 1 only correspond to no fuzziness if we assume a finite set. If we don’t assume a finite set, then it’s easy to cook up examples where probabilities are 0 or 1, but they aren’t equivalent to either nothing or everything, and thus probabilities 0 or 1 can still introduce fuzziness.
Yes definitely. I’ve omitted examples from software and math because there’s no “fuzziness” to it; that kind of abstraction is already better-understood than the more probabilistically-flavored use-cases I’m aiming for. But the theory should still apply to those cases, as the limiting case where probabilities are 0 or 1, so they’re useful as a sanity check.
I do want to note that probabilities 0 and 1 only correspond to no fuzziness if we assume a finite set. If we don’t assume a finite set, then it’s easy to cook up examples where probabilities are 0 or 1, but they aren’t equivalent to either nothing or everything, and thus probabilities 0 or 1 can still introduce fuzziness.