Lattice-Valued Topological Systems as a Framework for Lattice-Valued Formal Concept Analysis. (26th March 2013)

• Record Type: Journal Article
• Authors: Solovyov, Sergey A.
• Other Names: Peris Alfred Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2013(2013)
• Publication Date: 2013-03-26
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2013/506275
• Languages: English
• ISSNs: 2314-4629

Abstract

Abstract : 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.