PP-2006-17: Expressive Power of Weighted Propositional Formulas for Cardinal Preference Modelling

PP-2006-17: Chevaleyre, Yann and Endriss, Ulle and Lang, Jérôme (2006) Expressive Power of Weighted Propositional Formulas for Cardinal Preference Modelling. [Report]

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As proposed in various places, a set of propositional formulas, each associated with a numerical weight, can be used to model the preferences of an agent in combinatorial domains. If the range of possible choices can be represented by the set of possible assignments of propositional symbols to truth values, then the utility of an assignment is given by the sum of the weights of the formulas it satisfies. Our aim in this paper is twofold: (1) to establish correspondences between certain types of weighted formulas and well-known classes of utility functions (such as monotonic, concave or k-additive functions); and (2) to obtain results on the comparative succinctness of different types of weighted formulas for representing the same class of utility functions.

Item Type: Report
Report Nr: PP-2006-17
Series Name: Prepublication (PP) Series
Year: 2006
Uncontrolled Keywords: Preference Representation
Depositing User: Ulle Endriss
Date Deposited: 12 Oct 2016 14:36
Last Modified: 12 Oct 2016 14:36
URI: https://eprints.illc.uva.nl/id/eprint/192

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