Citation: T. Simas and L.M. Rocha ."Semi-metric networks for recommender systems" (pdf). 2012 IEEE/WIC/ACM International Conferences on Web Intelligence and Intelligent Agent Technology, pp. 175-179. DOI:10.1109/WI-IAT.2012.245
Due to mathematical notation and graphics, the full text is available in pdf. The pre-print is also available.
Weighted graphs obtained from co-occurrence in user-item relations lead to non-metric topologies. We use this semi-metric behavior to issue recommendations, and discuss its relationship to transitive closure on fuzzy graphs. Finally, we test the performance of this method against other item- and user-based recommender systems on the Movielens benchmark. We show that including highly semi-metric edges in our recommendation algorithms leads to better recommendations.
Keywords:recommender systems;complex networks; network theory, fuzzy graphs; fuzzy systems.