Decision Making with Partially Consonant Belief Functions
Phan Giang, Prakash Shenoy
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.
Keywords: decision making, belief functions
PDF Link: /papers/03/p272-giang.pdf
AUTHOR = "Phan Giang
and Prakash Shenoy",
TITLE = "Decision Making with Partially Consonant Belief Functions",
BOOKTITLE = "Proceedings of the Nineteenth Conference Annual Conference on Uncertainty in Artificial Intelligence (UAI-03)",
PUBLISHER = "Morgan Kaufmann",
ADDRESS = "San Francisco, CA",
YEAR = "2003",
PAGES = "272--280"