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

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    UAI01.pdf (312.5Kb)
    Issue Date
    2001-08
    Author
    Giang, Phan H.
    Shenoy, Prakash P.
    Publisher
    Morgan Kaufmann Publishers
    Format
    320037 bytes
    Type
    Book chapter
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    Abstract
    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.
    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.
    URI
    http://hdl.handle.net/1808/163
    ISBN
    1-55860-800-1
    Collections
    • Distinguished Professors Scholarly Works [918]
    • School of Business Scholarly Works [212]
    Citation
    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.

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    KU Libraries
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    785-864-8983

    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
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    Contact KU ScholarWorks
    785-864-8983
    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    785-864-8983

    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    Image Credits
     

     

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