Journal
KNOWLEDGE-BASED SYSTEMS
Volume 93, Issue -, Pages 67-74Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.knosys.2015.11.003
Keywords
Galois connection; Concept lattice; Concept reduction; Mean value of concepts
Categories
Funding
- ESF Fund [CZ.1.07/2.3.00/30.0041]
- Slovak VEGA Grant [2/0028/13]
- Slovak Research and Development Agency [APVV-0482-11, APVV-14-0892]
- VEGA [1/0529/15, 1/0908/15]
- KEGA [040TUKE-4/2014]
- [ANR-10-IDEX-03-02]
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The theory of concept lattices represents a well established and widely used conceptual data-mining method. Considering additional information represented by a graph structure on a set of objects, we propose a reduction of concepts. Using graph-theoretical point of view on FCA together with simple probabilistic arguments we derive the mean value of the cardinality of the reduced hierarchical structure. (c) 2015 Elsevier B.V. All rights reserved.
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