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

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  • Sergey A. Solovyov

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.

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  • Sergey A. Solovyov, 2013. "Lattice-Valued Topological Systems as a Framework for Lattice-Valued Formal Concept Analysis," Journal of Mathematics, Hindawi, vol. 2013, pages 1-33, March.
    • Handle: RePEc:hin:jjmath:506275
    DOI: 10.1155/2013/506275
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    References listed on IDEAS

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    1. S. E. Rodabaugh, 2007. "Relationship of Algebraic Theories to Powerset Theories and Fuzzy Topological Theories for Lattice-Valued Mathematics," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2007, pages 1-71, April.
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