Similarities in spaces of features and concepts: Towards semantic evaluations

The article discusses abstract spaces of concepts and features. Concepts correspond to real-world objects. Concepts are described by their features. The study is devoted to relations in the space of concepts and in the space of features. Of greatest interest is similarity of structures in the concepts and features spaces. There is a direct link between features and concepts. Therefore, similarity may be analyzed through structures of both concepts and features. Authors propose generalized similarity relation, applicable to the developed framework. In addition, similarity of nested sets of the space of features and concepts is discussed. Authors introduce an algorithm, which calculates similarity of two structures of nested structures. Developed semantics leads to the set-theoretic model, which allows to flexibly describe abstract information.