Abstract
Uncertainty and ambiguity are common situations in decision aid and therefore in preference modelling and aggregation. A basic distinction between uncertainty reasons is advanced in the paper, that is between lack of information and contradictory information. A semantical investigation of this approach is conducted and the PC preference structure is adopted in order to represent the different preference situations that may occur. This type of preference structure, besides offering an enhanced granularity in preference modelling, is strongly axiomatized, enabling a precise calculus. Some of its potentialities are discussed using a preference aggregation problem.
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
Bell D.E., Raiffa H., Tversky A., (1988), "Descriptive, Normative and Prescriptive interactions in Decision Making", in D.E. Bell, H. Raiffa, A. Tversky, eds., Decision Making: descriptive, normative and prescriptive interactions, Cambridge University Press, Cambridge.
Bouyssou D., (1994) "Outranking relations: do they have special properties?", to appear in the Journal of Multicriteria Decision Analysis.
Bouyssou D., (1989) "Modelling inaccurate determination, uncertainty, imprecision, using multiple criteria", in Improving Decision Making in Organisations, A.G. Lockett, G. Islei (eds.), Springer Verlag, Berlin, 78 –87.
Doherty P., Driankov D., Tsoukias A., (1993), "Partiality, Para-consistency and Preference Modeling", submitted, (preliminar version in IDA research report Lith-IDA-R-92-18, Linkoping University).
Mainka J., Sabroux C., Tsoukias A., (1993), "Intelligence artificielle et Aide a la Decision: une nouvelle approche", proceedings of the AFCET 93 congress, vol. 1, 15 – 33.
Roy B., (1977), "Partial Preference Analysis and Decision Aid: The fuzzy outranking relation concept", in D.E. Bell, R.L. Keeney, H. Raiffa, (eds.), Conflicting objectives in Decisions, J. Wiley, New York, 40 – 75.
Roy B., (1985), Methodologie multicritere d’aide a la decision, Economica, Paris.
Roy B., (1988), "Main sources of inaccurate determination, uncertainty and imprecision in decision models", in B. Munier, M. Shakun (eds.), Compromise, Negotiation and group decision, D. Reidel, Dordrecht, 43 –67.
Tsoukias A., Vincke Ph., (1992), "A survey on non conventional preference modelling", Ricerca Operativa, n. 61, 5 – 49.
Tsoukias A., Vincke Ph., (1994), "A new axiomatic foundation of partial comparability", Theory and Decision, vol. 39, 79 – 114.
Vincke Ph., (1982a), "Aggregation of preferences: a review", European Journal of Operational Research, vol. 9, 17 – 22.
Vincke Ph., (1982b), "Arrow’s theorem is not a surprising result", European Journal of Operational Research, vol. 10, 22 – 25.
Vincke Ph., (1992), "Exploitation of a crisp relation in a ranking problem", Theory and Decision, vol. 32, 221 – 240.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1997 Springer-Verlag Berlin · Heidelberg
About this paper
Cite this paper
Tsoukiàs, A., Vincke, P. (1997). Extended Preference Structures in MultiCriteria Decision Aid. In: Clímaco, J. (eds) Multicriteria Analysis. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60667-0_5
Download citation
DOI: https://doi.org/10.1007/978-3-642-60667-0_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-64500-6
Online ISBN: 978-3-642-60667-0
eBook Packages: Springer Book Archive