On Knowledge Structures Reduction

Matrix reduction and formal concept analysis are two complementary mathematical tools for data analysis. In this paper, we study the reduction of the concept lattices and implication bases based on matrix reduction and propose two kinds of reduction methods for the above concept lattices. We analyse...

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Bibliographic Details
Main Authors: Snasel, V., Polovincak, M., Dahwa, H.M., Horak, Z.
Format: Conference Proceeding
Language:English
Subjects:
Algorithm design and analysis
Application software
attribute implications
bases
Computer industry
concept lattices
Data analysis
Feature extraction
Information analysis
Knowledge management
knowledge structures
Large scale integration
Lattices
Management information systems
reduction
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Summary:Matrix reduction and formal concept analysis are two complementary mathematical tools for data analysis. In this paper, we study the reduction of the concept lattices and implication bases based on matrix reduction and propose two kinds of reduction methods for the above concept lattices. We analyse the benefits which we obtain by using several methods of matrix factorisation to reduce the dimension of input data.
DOI:10.1109/CISIM.2008.65