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| Title: | Decision Making with Partially Consonant Belief Functions |
| Authors: | Giang, Phan H.
Shenoy, Prakash P. |
| Keywords: | decision theory
partially consonant belief functions
utility theory
axioms |
| Issue Date: | Aug-2003 |
| Publisher: | Morgan Kaufmann Publishers |
| Extent: | 421318 bytes |
| Type: | Book chapter |
| Citation: | U. Kjærulff and C. Meek (eds.), Uncertainty in Artificial Intelligence, 2003, pp. 272--280, Morgan Kaufmann, San Francisco, CA |
| 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. |
| URI: | http://hdl.handle.net/1808/153 |
| ISBN: | 0-127-05664-5 |
| Appears in Collections: | School of Business Articles
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| UAI03a.pdf | | 411Kb | Adobe PDF | View/Open |
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