Lattice-Valued Topological Systems as a Framework for Lattice-Valued Formal Concept Analysis

Abstract EN

Recently, Denniston, Melton, and Rodabaugh presented a new categorical outlook on a certain lattice-valued extension of Formal Concept Analysis (FCA) of Ganter and Wille; their outlook was based on the notion of lattice-valued interchange system and a category of Galois connections.

This paper extends the approach of Denniston et al.

clarifying the relationships between Chu spaces of Pratt, many-valued formal contexts of FCA, lattice-valued interchange systems, and Galois connections.