Isotone Galois Connections and Generalized One-Sided Concept Lattices

We provide an approach to one-sided (crisp-fuzzy) concept lattices based on isotone Galois connections. Isotone Galois connections and concept lattices provide an alternative to the classical, antitone Galois connections based concept lattices, which are fundamental structures in formal concept analysis of object-attribute models with many-valued attributes. Our approach is suitable for analysis of data tables with different structures for truth values of particular attributes. A possible applications of this approach for approximation of object subsets is also presented.