Relationship between Two FCA Approaches on Heterogeneous Formal Contexts

We show a relationship between two theoretical approaches of Formal Concept Analysis working with so-called heterogeneous formal context i.e. such context in which each object and attribute can have own data-type. One of them is presented in [19]; each value in a formal context is some Galois connection between the lattices corresponding to the appropriate object and attribute. Another approach is presented in our paper [1] and it is a unifying platform of approaches from [14] and [11], [12]. In this paper, we prove that each of them can be derived from another.