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Home / Proceedings / Principles of Knowledge Representation and Reasoning: Proceedings of the Tenth International Conference (KR2006) / Book One

Expressive Power of Weighted Propositional Formulas for Cardinal Preference Modeling

March 15, 2023

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Authors

Ulle Endriss

Jerôme Lang

Yann Chevaleyre

DOI:


Abstract:

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.

Topics: KR

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HOW TO CITE:

Ulle Endriss||Jerôme Lang||Yann Chevaleyre Expressive Power of Weighted Propositional Formulas for Cardinal Preference Modeling Principles of Knowledge Representation and Reasoning: Proceedings of the Tenth International Conference (KR2006) (2006) .

Ulle Endriss||Jerôme Lang||Yann Chevaleyre Expressive Power of Weighted Propositional Formulas for Cardinal Preference Modeling KR 2006, .

Ulle Endriss||Jerôme Lang||Yann Chevaleyre (2006). Expressive Power of Weighted Propositional Formulas for Cardinal Preference Modeling. Principles of Knowledge Representation and Reasoning: Proceedings of the Tenth International Conference (KR2006), .

Ulle Endriss||Jerôme Lang||Yann Chevaleyre. Expressive Power of Weighted Propositional Formulas for Cardinal Preference Modeling. Principles of Knowledge Representation and Reasoning: Proceedings of the Tenth International Conference (KR2006) 2006 p..

Ulle Endriss||Jerôme Lang||Yann Chevaleyre. 2006. Expressive Power of Weighted Propositional Formulas for Cardinal Preference Modeling. "Principles of Knowledge Representation and Reasoning: Proceedings of the Tenth International Conference (KR2006)". .

Ulle Endriss||Jerôme Lang||Yann Chevaleyre. (2006) "Expressive Power of Weighted Propositional Formulas for Cardinal Preference Modeling", Principles of Knowledge Representation and Reasoning: Proceedings of the Tenth International Conference (KR2006), p.

Ulle Endriss||Jerôme Lang||Yann Chevaleyre, "Expressive Power of Weighted Propositional Formulas for Cardinal Preference Modeling", KR, p., 2006.

Ulle Endriss||Jerôme Lang||Yann Chevaleyre. "Expressive Power of Weighted Propositional Formulas for Cardinal Preference Modeling". Principles of Knowledge Representation and Reasoning: Proceedings of the Tenth International Conference (KR2006), 2006, p..

Ulle Endriss||Jerôme Lang||Yann Chevaleyre. "Expressive Power of Weighted Propositional Formulas for Cardinal Preference Modeling". Principles of Knowledge Representation and Reasoning: Proceedings of the Tenth International Conference (KR2006), (2006): .

Ulle Endriss||Jerôme Lang||Yann Chevaleyre. Expressive Power of Weighted Propositional Formulas for Cardinal Preference Modeling. KR[Internet]. 2006[cited 2023]; .


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