PP-2007-27: Preference Representation with Weighted Goals: Expressivity, Succinctness, Complexity

PP-2007-27: Uckelman, Joel and Endriss, Ulle (2007) Preference Representation with Weighted Goals: Expressivity, Succinctness, Complexity. [Report]

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Abstract

Preference Representation with Weighted Goals:
Expressivity, Succinctness, Complexity
Joel Uckelman, Ulle Endriss

Abstract:
The representation of preferences of agents is a central feature in
many AI systems. In particular when the number of alternatives to be
considered may become large, the use of compact preference
representation languages is crucial. The framework of weighted
propositional formulas can be used to define several such
languages. The central idea is to associate numerical weights with
goals specified in terms of propositional formulas, and to compute the
utility value of an alternative as the sum of the weights of the goals
it satisfies. In this paper, we analyze several properties of
languages defined by weighted goals: their expressivity, the relative
succinctness of different sublanguages, and the computational
complexity of finding the best alternative with respect to a given
utility function expressed in terms of weighted goals.

Item Type: Report
Report Nr: PP-2007-27
Series Name: Prepublication (PP) Series
Year: 2007
Uncontrolled Keywords: weighted formulas; preference representation
Date Deposited: 12 Oct 2016 14:36
Last Modified: 12 Oct 2016 14:36
URI: https://eprints.illc.uva.nl/id/eprint/261

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