Abstract
A qualitative counterpart of Von Neumann and Morgenstern’s Expected Utility Theory was proposed by Dubois and Prade in the mid nineties. In this decision theory uncertainty is assumed to be of a possibilistic nature and decisions can be ranked, via their associated possibility distributions on consequences, according to two qualitative criteria, one pessimistic and one optimistic. However, it may the case that the ranking induced by one of these criteria does not result in a total ordering of the decisions and it can be very interesting to refine the ranking by means of considering another criterion. In this paper we consider some natural refinements and provide the axiomatic characterization of the preference orderings induced by them.
This is a preview of subscription content, log in via an institution to check access.
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
D. Dubois, L. Godo, H. Prade, and A. Zapico. On the possibilistic-based decision model: From decision under uncertainty to case-based decision. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 7(6):631–670, 1999. Short version: Making decision in a qualitative setting: from decision under uncertainty to case-based decision, in 6th Int. Conf. on Principles of Knowl. Representation and Reasoning (KR’98), pp. 594–605, 1998.
D. Dubois, E. Pap, and H. Prade. Hybrid probabilistic-possibilistic mixtures and utility functions. Preferences and Decisions under Incomplete Knowledge (J. Fodor, B. De Baets and P. Perny, eds.), Series: Studies in Fuzziness and Soft Computing 51, Physica-Verlag, 2000.
D. Dubois and H. Prade. Possibility theory as a basis for qualitative decision theory. In 14th Int. Joint Conf. on Artificial Intelligence (IJCAI’95), pages 1924–1930, Montreal, 1995.
L. Godo and A. Zapico. On the possibilistic-based decision model: Characterisation of preferences relations under partial inconsistency. Applied Intelligence, To appear.
L. Godo and A. Zapico. Generalised qualitative utility functions for representing partial preferences relations. In 1st Conference of European Society for Fuzzy Logic And Technology (EUSFLAT’99), pages 343–346, Mallorca, 1999.
J. von Neumann and O. Morgenstern. Theory of Games and Economic Behavior. Princeton: Princeton University Press, 1944.
A. Zapico. Axiomatic foundations for qualitative/ordinal decisions with partial preferences. In 16th Int. Joint Conf. on Artificial Intelligence (IJCAI’99), 1999.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2000 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Dubois, D., Godo, L., Prade, H., Zapico, A. (2000). Advances in Qualitative Decision Theory: Refined Rankings. In: Monard, M.C., Sichman, J.S. (eds) Advances in Artificial Intelligence. IBERAMIA SBIA 2000 2000. Lecture Notes in Computer Science(), vol 1952. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44399-1_44
Download citation
DOI: https://doi.org/10.1007/3-540-44399-1_44
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-41276-2
Online ISBN: 978-3-540-44399-5
eBook Packages: Springer Book Archive