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Extent partitions and context extensions

In: Mathematica Slovaca, vol. 63, no. 4
Bernhard Ganter - Attila Körei - Sándor Radeleczki

Details:

Year, pages: 2013, 693 - 706
Keywords:
concept lattice, extent partition, box extent, one-object extension
About article:
We prove that the extent partitions of a formal context $\mathbb{K}:=(G,M,I)$ can be constructed from the box extents of it, which form a complete atomistic lattice. $\mathbb{K}$ is called a one-object extension of the subcontext $(H,M,J)$ if it is obtained by adding a new element with attributes in $M$ to the set $H$. We investigate the interplay between the box extents of $(H,M,J)$ and those of its one-object extension $\mathbb{K}$, and describe those extent partitions of $(H,M,J)$ which can be extended to $\mathbb{K}$.
How to cite:
ISO 690:
Ganter, B., Körei, A., Radeleczki, S. 2013. Extent partitions and context extensions. In Mathematica Slovaca, vol. 63, no.4, pp. 693-706. 0139-9918. DOI: https://doi.org/10.2478/s12175-013-0129-y

APA:
Ganter, B., Körei, A., Radeleczki, S. (2013). Extent partitions and context extensions. Mathematica Slovaca, 63(4), 693-706. 0139-9918. DOI: https://doi.org/10.2478/s12175-013-0129-y
About edition: