A Novel Incorporate Algorithm of Concept Lattice

DOI

10.2991/iccia.2012.318How to use a DOI?

Keywords

component: formal context, concept lattice, incorporating, direct product

Abstract

With the expansion of the research field, the research object of some original seemingly unrelated properties have been studied together. At this time, the number of attribute in formal context has changed. For the increased attributes, we need to construct a new concept lattice. The existing incremental building algorithms of concept lattice need the original formal context as the basis, with single attribute or a set of attribute of the object to rebuild the concept lattice. They can't effectively utilize these existing concept lattice that have not relation in attributes. Here, the paper presents one new algorithm for incorporating concept lattice based on the existed concept lattices. We can directly build the “together lattice” from bottom to top by direct product operation on the existed concept lattices and the mapping relation between the direct product lattice of two existed concept lattices and the “together lattice”. Formal contexts that attribute sets have no intersection are fit for this algorithm.

Copyright

© 2013, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Xi Gong
PY  - 2014/05
DA  - 2014/05
TI  - A Novel Incorporate Algorithm of Concept Lattice
BT  - Proceedings of the 2012 2nd International Conference on Computer and Information Application (ICCIA 2012)
PB  - Atlantis Press
SP  - 1282
EP  - 1285
SN  - 1951-6851
UR  - https://doi.org/10.2991/iccia.2012.318
DO  - 10.2991/iccia.2012.318
ID  - Gong2014/05
ER  -