Sangam: A Confluence of Knowledge Streams

A Comparison of Axiomatic Approaches to Qualitative Decision Making Using Possibility Theory

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dc.creator Giang, Phan H.
dc.creator Shenoy, Prakash P.
dc.date 2001-08
dc.date 2004-12-17T22:05:32Z
dc.date 2004-12-17T22:05:32Z
dc.date.accessioned 2022-05-18T11:15:56Z
dc.date.available 2022-05-18T11:15:56Z
dc.identifier Giang, P. H. and P. P. Shenoy (2001), "A Comparison of Axiomatic Approaches to Qualitative Decision Making Using Possibility Theory," in J. Breese and D. Koller (eds.), Uncertainty in Artificial Intelligence, pp. 162--170, Morgan Kaufmann, San Francisco, CA.
dc.identifier 1-55860-800-1
dc.identifier http://hdl.handle.net/1808/163
dc.identifier https://orcid.org/0000-0002-8425-896X
dc.identifier.uri http://localhost:8080/xmlui/handle/CUHPOERS/26695
dc.description A longer version of this paper is available from KU Scholarworks as Giang, P. H. and P. P. Shenoy, "Two Axiomatic Approaches to Decision Making Using Possibility Theory," European Journal of Operational Research, Vol. 162, No. 2, 2005, pp. 450--467.
dc.description In this paper we analyze two recent axiomatic approaches proposed by Dubois et al., and by Giang and Shenoy, respectively, for qualitative decision making where uncertainty is described by possibility theory. Both axiomtizations are inspired by von Neumann and Morgenstern's system of axioms for the case of probability theory. We show that our approach naturally unifies two axiomatic systems that correspond, respectively, to pessimistic and optimistic decision criteria proposed by Dubois et al. The simplifying unification is achieved by (i) replacing axioms that are supposed to reflect two informational attitudes (uncertainty aversion and uncertainty attraction) by an axiom that imposes order on set of standard lotteries, and (ii) using a binary utility scale in which each utility level is represented by a pair of numbers.
dc.description The research was supported by a grant from the School of Business PhD Summer Research Fund to both authors.
dc.format 320037 bytes
dc.format application/pdf
dc.language en_US
dc.publisher Morgan Kaufmann Publishers
dc.rights openAccess
dc.subject Decision theory
dc.subject Possibility theory
dc.subject Axiomatic approach
dc.subject Utility theory
dc.title A Comparison of Axiomatic Approaches to Qualitative Decision Making Using Possibility Theory
dc.type Book chapter


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