On Different Types of Heterogeneous Formal Contexts

Abstract

We provide a generalization of Formal Concept Analysis that works with different types of the values in a heterogeneous formal context. An appropriate counterpart of the basic theorem on concept lattices is formulated. We suggest the transformation of the heterogeneous formal context to Galois connectional approach. Illustration on an example is included. Moreover, we show that this approach is a generalization of the multi-adjoint concept lattices proposed by Medina and Ojeda-Aciego. Finally, links between the proposed environment and related studies are stated.