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Decision Making with Partially Consonant Belief Functions
Giang, Phan H. Shenoy, Prakash P.
Giang, Phan H.
Shenoy, Prakash P.
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Abstract
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, 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 axioms
for preferences leading to the linear utility
theory, for a preference relation on pcb lotteries. We prove a representation theorem
for this preference relation. Utility for
a pcb lottery is a combination of linear utility
for probabilistic lottery and binary utility
for possibilistic lottery.
Description
Date
2003-08
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Publisher
Morgan Kaufmann Publishers
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Keywords
Decision theory, Partially consonant belief functions, Utility theory, Axioms
Citation
U. Kjærulff and C. Meek (eds.), Uncertainty in Artificial Intelligence, 2003, pp. 272--280, Morgan Kaufmann, San Francisco, CA