The homogeneous semantic (associative) network built using the neural network technology TextAnalyst consists of pairs of associations as they occur in the text. The analysis and classification of such associations obtained from specific texts show that in fact these associations are classified into classes of predicates’ actants. The resulting conclusion suggests that using comprehensive linguistic analysis for construction of extended predicate structures for simple fragments of sentences, it is possible to obtain information on relations between key concepts of a homogeneous semantic (associative) networks, that is, to move from homogeneous (associative) semantic networks to heterogeneous ones. Moreover, these relations between key concepts in this case can be marked using automatic analysis. The replacement of associative relations in a semantic network by diverse ones, in addition to improving the quality of classification and text abstracting, will allow for automatic construction of non-homogeneous (heterogeneous) semantic networks that so far has been done manually by experts.