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Joachim Correia, T. Kaiser (2004)
A Mathematical Model for TOSCANA-Systems: Conceptual Data Systems
(1989)
Conceptual scaling
B Ganter, R Wille (1999)
Formal Concept Analysis, Mathematical Foundations
(2006)
Box elements in a concept lattice
T. Kaiser (2008)
Connecting Many-valued Contexts to General Geometric Structures
TB Kaiser (2005)
Conceptual Structures: Common Semantics for Sharing Knowledge
T. Kaiser (2005)
Representation of Data Contexts and Their Concept Lattices in General Geometric Spaces
F. Roberts (1989)
Applications of combinatorics and graph theory to the biological and social sciences
TB Kaiser (2008)
Concept Lattices and Applications
(1990)
Introduction to lattices and order
T. Kaiser (2006)
Closure Systems of Equivalence Relations and Their Labeled Class Geometries
H. Bock, P. Ihm (1991)
Classification, Data Analysis, and Knowledge Organization
(1970)
Kongruenzklassengeometrien
F. Dau, M. Mugnier, Gerd Stumme (2005)
Conceptual Structures: Common Semantics for Sharing Knowledge, 13th International Conference on Conceptual Structures, ICCS 2005, Kassel, Germany, July 17-22, 2005, Proceedings, 3596
Frank Vogt, Cornelia Wachter, R. Wille (1991)
Data Analysis Based on a Conceptual File
Sébastien Ferré, S. Rudolph (2009)
Formal Concept Analysis
S. Radeleczki (2000)
Classification systems and the decompositions of a lattice into direct productsMiskolc Mathematical Notes, 1
Stefan Schmidt (1995)
Grundlegungen zu einer allgemeinen affinen Geometrie
T. Kaiser, S. Schmidt (2004)
Geometry of Data Tables
TB Kaiser, SE Schmidt (2004)
Concept Lattices
We study the connection between certain many-valued contexts and general geometric structures. The known one-to-one correspondence between attribute-complete many-valued contexts and complete affine ordered sets is used to extend the investigation to π-lattices, class geometries, and lattices with classification systems. π-lattices are identified as a subclass of complete affine ordered sets, which exhibit an intimate relation to concept lattices closely tied to the corresponding context. Class geometries can be related to complete affine ordered sets using residuated mappings and the notion of a weak parallelism. Lattices with specific sets of classification systems allow for some sort of “reverse conceptual scaling”.
Annals of Mathematics and Artificial Intelligence – Springer Journals
Published: Jun 8, 2010
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