Note on formal contexts of generalized one-sided concept lattices

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