Towards attribute reduction in object-oriented concept lattices

Abstract

Attribute reduction is an important issue in different frameworks. Formal concept analysis (FCA) and object-oriented concept lattices (which is a generalization of rough sets) have been related in different papers. This contribution studies the attribute reduction in object-oriented concept lattices from the one recently given in FCA. As a consequence, we have proven that the study of the classification of the attributes in absolutely necessary, relatively necessary and unnecessary attributes is equivalent in both frameworks. An illustrative example has also been introduced.