Decay technique matrix (matrix factorization-MF) is a commonly used technique in the system of suggestion (Recommender Systems-RS). Currently there were many variations of algorithms and approaches are developed based on this technique, as Biased matrix factorization, Non-negative matrix factorization, multi matrix decay relationship (multi-relational matrix factorization-MRMF) ... This article proposes an approach most other relationships for the hint system, from which the construction algorithm for the approach proposed. Experiments on the standard data collection in the field suggested content measure RMSE (Root Mean Squared Error) shows the approach proposed for the results very satisfactory
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