Note on formal contexts of generalized one - sided concept lattices ∗

Generalized one-sided concept lattices represent one of the conceptual data mining methods, suitable for an analysis of object-attribute models with the different types of attributes. It allows to create FCA-based output in form of concept lattice with the same interpretation of concept hierarchy as in the case of classical FCA. The main aim of this paper is to investigate relationship between formal contexts and generalized one-sided concept lattices. We show that each one uniquely determines the other one and we also derive the number of generalized one-sided concept lattices defined within the given framework of formal context. The order structure of all mappings involved in some Galois connections between a power set and a direct product of complete lattices is also dealt with.