On Transformations between Probability and Spohnian Disbelief Functions
  In this paper, we analyze the relationship between probability and Spohn's
theory for representation of uncertain beliefs. Using the intuitive idea that
the more probable a proposition is, the more believable it is, we study
transformations from probability to Sphonian disbelief and vice-versa. The
transformations described in this paper are different from those described in
the literature. In particular, the former satisfies the principles of ordinal
congruence while the latter does not. Such transformations between probability
and Spohn's calculi can contribute to (1) a clarification of the semantics of
nonprobabilistic degree of uncertain belief, and (2) to a construction of a
decision theory for such calculi. In practice, the transformations will allow a
meaningful combination of more than one calculus in different stages of using
an expert system such as knowledge acquisition, inference, and interpretation
of results.
