Two Axiomatic Approaches to Decision Making Using Possibility Theory
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Issue Date
2005-04-16Author
Giang, Phan H.
Shenoy, Prakash P.
Publisher
Elsevier Science Publishers B. V.
Format
313433 bytes
Type
Article
Rights
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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Show full item recordAbstract
This paper proposes a utility theory for decision making under uncertainty that is described by possibility theory. We show that our approach is a natural generalization of the two axiomatic systems that correspond to pessimistic and optimistic decision criteria proposed by Dubois et al. The generalization is achieved by removing axioms that are supposed to reflect attitudes toward uncertainty, namely, pessimism and optimism. In their place we adopt an axiom that imposes an order on a class of canonical lotteries that realize either in the best or in the worst prize. We prove an expected utility theorem for the generalized axiomatic system based on the newly introduced concept of binary utility.
Description
A preliminary version of this paper appeared as: "A comparison of axiomatic approaches to qualitative decision making using possibility theory. In J. Breese and D. Koller (eds.), Uncertainty in Artificial Intelligence: Proceedings of the Seventeenth Conference (UAI–
2001), 2001, pp. 162–170, Morgan Kaufmann, San Francisco, CA.
ISSN
0377-2217Collections
Citation
European Journal of Operational Research, Vol. 162, No. 2, 2005, pp. 450--467.
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