Abstract
This paper proposes an approach to representing preferences about multifactorial ratings. Instead of defining a scale of values and aggregation operations, we propose to express rationality conditions and other generic properties, as well as preferences between specific instances, by means of constraints restricting a complete pre-ordering among tuples of values. The derivation of a single complete pre-order is based on possibility theory, using the minimal specificity principle. Some hints for revising a given preference ordering when new constraints are required, are given. This approach looks powerful enough to capture many aggregation modes, even some violating co-monotonic independence.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Benferhat, S., Dubois, D., Prade, H.: Representing default rules in possibilistic logic. In: Proceedings of 3rd International Conference KR 1992, pp. 673–684 (1992)
Benferhat, S., Dubois, D., Prade, H.: Possibilistic and standard probabilistic semantics of conditional knowledge bases. Logic and Computation 9(6), 873–895 (1999)
Benferhat, S., Dubois, D., Prade, H.: Towards a possibilistic logic handling of preferences. Applied Intelligence 14(3), 303–317 (2001)
Boutilier, C., Brafman, R., Domshlak, C., Hoos, H., Poole, D.: CP-nets: A tool for representing and reasoning with conditional ceteris paribus preference statements. Journal of Artificial Intelligence Research 21, 135–191 (2004)
Chomicki, J.: Preference formulas in relational queries. ACM Transactions on Databases Systems, 1–40 (2003)
Coste-Marquis, S., Lang, J., Liberatore, P., Marquis, P.: Expressive power and succinctness of propositional languages for preference representation. In: Proceedings of KR 2004, pp. 203–212 (2004)
Dubois, D., Marichal, J.-L., Prade, H., Roubens, M., Sabbadin, R.: The use of the discrete sugeno integral in decision-making: a survey. International Journal of Uncertainty, Fuzziness and Knowledge-based Systems 9, 539–561 (2001)
Dubois, D., Prade, H.: On different ways of ordering conjoint evaluations. In: Proceedings of the 25th Linz seminar on Fuzzy Set Theory, pp. 42–46 (2004)
Modave, F., Dubois, D., Grabisch, M., Prade, H.: L’Intégrale de Choquet: un Outil de Représentation en Décision Multicritères. In: Rencontres francophones sur la logique floue et ses applications (LFA 1997), pp. 81–90 (1997)
Moulin, H.: Axioms of Cooperative Decision Making. Wiley, New York (1988)
Moura-Pires, J., Prade, H.: Specifying fuzzy constraints intercations without using aggregation operators. In: Proceedings of FUZZ-IEEE 2000, pp. 228–233 (2000)
Benamor, N., Benferhat, S., Dubois, D., Mellouli, K., Prade, H.: A theorical framework for possibilistic independence in weakly ordered setting. International Journal of Uncertainty Fuzziness and Knowledge-based Systems 10 (2002)
Pearl, J.: A natural ordering of defaults with tractable applications to default reasoning. In: Proceedings TARK 1990, pp. 121–135 (1995)
Slowinski, R., Greco, S., Fortemps, P.: Multicriteria Decision Support Using Rules Representing Rough-graded Preference Relations. In: Proceedings of EUROFUSE 2004, pp. 494–504 (2004)
Wilson, N.: Extending cp-nets with stronger conditional preference statements. In: Proceedings of AAAI 2004, pp. 735–741 (2004)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Dubois, D., Kaci, S., Prade, H. (2005). Expressing Preferences from Generic Rules and Examples – A Possibilistic Approach Without Aggregation Function. In: Godo, L. (eds) Symbolic and Quantitative Approaches to Reasoning with Uncertainty. ECSQARU 2005. Lecture Notes in Computer Science(), vol 3571. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11518655_26
Download citation
DOI: https://doi.org/10.1007/11518655_26
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-27326-4
Online ISBN: 978-3-540-31888-0
eBook Packages: Computer ScienceComputer Science (R0)