Criterion of Congruence as a Criterion of Selection for Clusterization. Natalya Ivakhnenko

Abstract. The criterion of congruence consists in the comparison of two or more clusterizations on two square arrays of specially organized points. Such arrays are named “faces” of a given clusterisation. These faces help to compare arrays with various quantity of clusters and various number of points in them simultaneously, and this is because the criterion is called as a congruent one. As in the case of the algorithms of self-organization, this is used firstly for finding the multitudes of arguments for two arrays, selecting better ones for electing the criterion. Then, knowing a few better multitudes of arguments,one find, using already known procedures in the first part, the multitudes of arguments for the full array. The proposed criterion would open a set of other selection ones in the future.

Keywords. Inductive modelling, GMDH, criterion of congruence, clusterization, self-organization.

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