Decision Making with Partially Consonant Belief Functions
نویسندگان
چکیده
This paper studies decision making for Wal ley's partially consonant belief functions (pcb ) . In a pcb, the set of foci are par titioned. Within each partition, foci are nested. The pcb class includes probability and possibility functions as extreme cases. We adopt an axiomatic system, similar in spirit to von Neumann and Morgenstern's ax ioms for preferences leading to the linear util ity theory, for a preference relation on pcb lotteries. We prove a representation theo rem for this preference relation. Utility for a pcb lottery is a combination of linear util ity for probabilistic lottery and binary utility for possibilistic lottery.
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