Lattice-valued topological systems as a framework for lattice-valued formal concept analysis
Summary: Recently, \textit{J. T. Denniston} et al. [Fuzzy Sets Syst. 216, 52--90 (2013; Zbl 1320.06004)] presented a new categorical outlook on a certain lattice-valued extension of Formal Concept Analysis (FCA) of \textit{B. Ganter} and \textit{R. Wille} [Formale Begriffsanalyse. Mathematische Grundlagen. Berlin: Springer (1996; Zbl 0861.06001)]; 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. [loc. cit.] clarifying the relationships between Chu spaces of \textit{V. Pratt} [in: School on category theory and applications. Lecture notes of courses, Coimbra, Portugal, July 13--17, 1999. Coimbra: Universidade de Coimbra, Departamento de Matemática. 39--100 (1999; Zbl 0954.18002)], many-valued formal contexts of FCA, lattice-valued interchange systems, and Galois connections.
scientific article; zbMATH DE number 6191165
scientific article