Decision Making with Partially Consonant Belief Functions
  This paper studies decision making for Walley's partially consonant belief
functions (pcb). In a pcb, the set of foci are partitioned. Within each
partition, the foci are nested. The pcb class includes probability functions
and possibility functions as extreme cases. Unlike earlier proposals for a
decision theory with belief functions, we employ an axiomatic approach. We
adopt an axiom system similar in spirit to von Neumann - Morgenstern's linear
utility theory for a preference relation on pcb lotteries. We prove a
representation theorem for this relation. Utility for a pcb lottery is a
combination of linear utility for probabilistic lottery and binary utility for
possibilistic lottery.
