Lattice-Valued Topological Systems as a Framework for Lattice-Valued Formal Concept Analysis-Reference-Cited by-同舟云学术

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

Published:2013 Issue: Volume:2013 Page:1-33
ISSN:2314-4629
Container-title:Journal of Mathematics
language:en
Short-container-title:Journal of Mathematics

Author:

Solovyov Sergey A.¹²

Affiliation:

1. Department of Mathematics and Statistics, Faculty of Science, Masaryk University, Kotlarska 2, 611 37 Brno, Czech Republic

2. Institute of Mathematics and Computer Science, University of Latvia, Raina bulvaris 29, Riga 1459, Latvia

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.

Funder

Masaryk University

Publisher

Hindawi Limited

Subject

General Mathematics

Link

http://downloads.hindawi.com/journals/jmath/2013/506275.pdf

Reference60 articles.

1. Variable-basis topological systems versus variable-basis topological spaces

2. Functorial relationships between lattice-valued topology and topological systems

3. The Handbooks of Fuzzy Sets Series,1999

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