The fuzzicists CLAIM to have an alternative to probability,
but it a mistake in logic which has often been repeated.

The implication many make is that probability is a truth
value in the sense of logic; it is not.  A truth value
system has the property that the truth value of a compound
proposition is determined from that of the components.
The truth value system used in probability is that of a
Boolean algebra, and probability is a functional on it 
which has certain properties, which happen to make if of
some utility in application.

Now what happens with fuzzy logic?  If the fuzzicists
were to assign values to compound propositions in a
consistent way, they would end up with probability.
If the do not, how can someone decide on a course of
action under uncertainty?

BTW, the behavioristic Bayesian approach does not 
start out with the prior as probability, but merely
as the measure corresponding to a positive linear
operator on utility functions, and it is only the
product of loss and prior which has implications for
the course of action.
-- 
This address is for information only.  I do not claim that these views
are those of the Statistics Department or of Purdue University.
Herman Rubin, Dept. of Statistics, Purdue Univ., West Lafayette IN47907-1399
hrubin@stat.purdue.edu         Phone: (765)494-6054   FAX: (765)494-0558