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==Tasks==
The main task in preference learning concerns problems in "[[learning to rank]]". According to different types of preference information observed, the tasks are categorized as three main problems in the book ''Preference Learning'':<ref>{{Cite book |url=https://books.google.
===Label ranking===
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===Preference relations===
The binary representation of preference information is called preference relation. For each pair of alternatives (instances or labels), a binary predicate can be learned by conventional supervised learning approach. Fürnkranz and Hüllermeier proposed this approach in label ranking problem.<ref name=":0">{{Cite
Using preference relations to predict the ranking will not be so intuitive. Since observed preference relations may not always be transitive due to inconsistencies in the data, finding a ranking that satisfies all the preference relations may not be possible or may result in multiple possible solutions. A more common approach is to find a ranking solution which is maximally consistent with the preference relations. This approach is a natural extension of pairwise classification.<ref name=":0" />
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Preference learning can be used in ranking search results according to feedback of user preference. Given a query and a set of documents, a learning model is used to find the ranking of documents corresponding to the [[relevance (information retrieval)|relevance]] with this query. More discussions on research in this field can be found in [[Tie-Yan Liu]]'s survey paper.<ref>{{Cite journal |last=Liu |first=Tie-Yan |date=2007 |title=Learning to Rank for Information Retrieval |url=http://www.nowpublishers.com/article/Details/INR-016 |journal=Foundations and Trends® in Information Retrieval |language=en |volume=3 |issue=3 |pages=225–331 |doi=10.1561/1500000016 |issn=1554-0669}}</ref>
Another application of preference learning is [[recommender systems]].<ref>{{Citation |
==References==
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