Abstract
In astrophysics of hierarchical multiple stellar systems there is a contradiction between their maximum observed multiplicity (up to seven) and its theoretical limitations (about five hundred). To search for the hierarchical systems of high multiplicity we have analyzed modern catalogues of wide and close stellar pairs. We have compiled a list of objects - candidates for the stellar systems of maximum multiplicity, which includes an accurate cross-identification of their components. Presented procedure of cross-matching of multiple stellar systems is based on applying of criteria of unified form that exclude objects from sets of possible candidates to identification. Criteria are constructed using domain knowledge on astronomical objects of certain type. These criteria are not dependent on source catalogues but take into account knowledge on specific features of objects depending on conditions of observation.
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