Learning Partial Lexicographic Preference Trees and Forests over Multi-Valued Attributes

Xudong Liu, Mirek Truszczynski · EPiC series in computing · 2018

\tit{Partial lexicographic preference trees}, or \tit{PLP-trees}, form an intuitive formalism for compact representation of qualitative preferences over combinatorial domains. We show that PLP-trees can be used to accurately model preferences arising in practical situations, and that high-accuracy PLP-trees can be effectively learned. We also propose and study learning methods for a variant of our model based on the concept of a PLP-forest, a collection of PLP-trees, where the preference order specified by a PLP-forest is obtained by aggregating the orders of its constituent PLP-trees. Our results demonstrate the potential of both approaches, with learning PLP-forests showing particularly promising behavior.

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