On Preference-Based Search in State Space Graphs
Abstract
The aim of this paper is to introduce a general framework for preference-based search in state space graphs with a focus on the search of the preferred solutions. After introducing a formal definition of preference-based search problems, we introduce the PBA ∗ algorithm, a generalization of the A ∗ algorithm, designed to process quasi-transitive preference relations defined over the set of solutions. Then, considering a particular subclass of preference structures characterized by two axioms called Weak Preadditivity and Monotonicity, we establish termination, completeness and admissibility results for PBA ∗. We also show that previous generalizations of A ∗ are particular instances of PBA ∗. The interest of our algorithm is illustrated on a preference-based web access problem. 1
Cite
Text
Perny and Spanjaard. "On Preference-Based Search in State Space Graphs." AAAI Conference on Artificial Intelligence, 2002.Markdown
[Perny and Spanjaard. "On Preference-Based Search in State Space Graphs." AAAI Conference on Artificial Intelligence, 2002.](https://mlanthology.org/aaai/2002/perny2002aaai-preference/)BibTeX
@inproceedings{perny2002aaai-preference,
title = {{On Preference-Based Search in State Space Graphs}},
author = {Perny, Patrice and Spanjaard, Olivier},
booktitle = {AAAI Conference on Artificial Intelligence},
year = {2002},
pages = {751-756},
url = {https://mlanthology.org/aaai/2002/perny2002aaai-preference/}
}