I’m not sure they are inherently different. I read Kosko’s popular book on Fuzzy Logic many years ago and can’t remember the details of the argument, but he claimed that probabilistic logic is a special case of fuzzy logic, as propositional logic is a special case of probabilistic logic (ie, with probabilities of 0 and 1).
Several things. First, you’re claiming “probabilistic is a special case of fuzzy” but that does not imply “fuzzy is a special case of probabilistic” which was the original point of contention.
Secondly, you probably have confused fuzzy logic with “possibility theory”. There can be many types of fuzzy logic, and the issue we’re currently debating is whether “truth” can be regarded as a matter of degree, ie, fuzziness as degree of truth. Possibility theory is a special type of fuzzy theory which results from giving up the probability axiom #3, “finite additivity”. That is probably what your author is referring to.
I’m not sure they are inherently different. I read Kosko’s popular book on Fuzzy Logic many years ago and can’t remember the details of the argument, but he claimed that probabilistic logic is a special case of fuzzy logic, as propositional logic is a special case of probabilistic logic (ie, with probabilities of 0 and 1).
Several things. First, you’re claiming “probabilistic is a special case of fuzzy” but that does not imply “fuzzy is a special case of probabilistic” which was the original point of contention.
Secondly, you probably have confused fuzzy logic with “possibility theory”. There can be many types of fuzzy logic, and the issue we’re currently debating is whether “truth” can be regarded as a matter of degree, ie, fuzziness as degree of truth. Possibility theory is a special type of fuzzy theory which results from giving up the probability axiom #3, “finite additivity”. That is probably what your author is referring to.