A Unified framework for order-of-magnitude confidence relations
  The aim of this work is to provide a unified framework for ordinal
representations of uncertainty lying at the crosswords between possibility and
probability theories. Such confidence relations between events are commonly
found in monotonic reasoning, inconsistency management, or qualitative decision
theory. They start either from probability theory, making it more qualitative,
or from possibility theory, making it more expressive. We show these two trends
converge to a class of genuine probability theories. We provide
characterization results for these useful tools that preserve the qualitative
nature of possibility rankings, while enjoying the power of expressivity of
additive representations.
