Finding Frequent Elements for a Product of Partial Orders and Association Rules

I. E. Genrikhov, E. V. Djukova · 2020

A known method for finding frequent sets of attributes in the search for association rules in a binary database is based on constructing an FP-tree (Frequent Pattern Growth Tree). In the case of nonbinary data, the values of each nonbinary attribute are usually binarized using a numerical threshold, and the problem is reduced to constructing the classical FP-tree. The result significantly depends on the choice of thresholds. In this paper, it is proposed to modify the structure of the classical FP-tree by introducing an additional vertex for each nonbinary attribute; this vertex is called full, and it contains information about possible variants of binarization of this attribute values. The proposed model of the FP-tree is called full FP-tree. The application of the full FP-tree for the analysis of nonbinary data under the condition that partial orders on the attribute values are specified. Illustrative and generated examples are discussed.

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