Abstract
We present a possibility for coordinatizing many-valued contexts and their concept lattices, i.e. we investigate when an algebra (in the sense of universal algebra) can be assigned to the object set of a many-valued context such that the extents can be described by the congruence classes of the algebra. Since congruence class spaces have a natural geometric nature the outlined approach can be interpreted as a geometric representation of concept lattices.
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Kaiser, T.B. (2005). Representation of Data Contexts and Their Concept Lattices in General Geometric Spaces. In: Dau, F., Mugnier, ML., Stumme, G. (eds) Conceptual Structures: Common Semantics for Sharing Knowledge. ICCS 2005. Lecture Notes in Computer Science(), vol 3596. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11524564_13
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DOI: https://doi.org/10.1007/11524564_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-27783-5
Online ISBN: 978-3-540-31885-9
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