Concept lattice construction about many-valued contexts

Abstract

The concept lattice construction of many-valued contexts is an important issue in the theory of concept lattices. Inspired by the idea of combined concept lattices, this paper gives an approach to construct the concept lattice of a many-valued context. The many-valued context can be firstly transformed to many formal contexts according to the number of attributes. Then, a Galois connection is established to obtain a concept lattice, which can be considered as the lattice of the many-valued context. Finally, we show that the lattice obtained by such method is a subset of the lattice of combined context of those formal contexts.