Rough concept analysis: a synthesis of rough sets and formal concept analysis
Fundamenta Informaticae - Special issue: rough sets
A fast algorithm for building lattices
Information Processing Letters
Formal Concept Analysis: Mathematical Foundations
Formal Concept Analysis: Mathematical Foundations
Reduction algorithms based on discernibility matrix: the ordered attributes method
Journal of Computer Science and Technology
Computing iceberg concept lattices with TITANIC
Data & Knowledge Engineering
Conceptual Knowledge Discovery in Databases Using Formal Concept Analysis Methods
PKDD '98 Proceedings of the Second European Symposium on Principles of Data Mining and Knowledge Discovery
Approaches to knowledge reduction based on variable precision rough set model
Information Sciences—Informatics and Computer Science: An International Journal - Mining stream data
A multi-level conceptual data reduction approach based on the Lukasiewicz implication
Information Sciences: an International Journal - Special issue: Information technology
A Basic Mathematical Framework for Conceptual Graphs
IEEE Transactions on Knowledge and Data Engineering
Information Sciences: an International Journal
Reduction method for concept lattices based on rough set theory and its application
Computers & Mathematics with Applications
International Journal of Approximate Reasoning
Attribute reduction based on evidence theory in incomplete decision systems
Information Sciences: an International Journal
Information Sciences: an International Journal
Granular Computing and Knowledge Reduction in Formal Contexts
IEEE Transactions on Knowledge and Data Engineering
Approaches to knowledge reduction in generalized consistent decision formal context
Mathematical and Computer Modelling: An International Journal
Knowledge reduction in decision formal contexts
Knowledge-Based Systems
International Journal of Approximate Reasoning
Knowledge-Based Systems
Applying the JBOS reduction method for relevant knowledge extraction
Expert Systems with Applications: An International Journal
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Computing a minimal reduct of a decision formal context by Boolean reasoning is an NP-hard problem. Thus, it is essential to develop some heuristic methods to deal with the issue of knowledge reduction especially for large decision formal contexts. In this study, we first investigate the relationship between the concept lattice of a formal context and those of its subcontexts in preparation for deriving a heuristic knowledge-reduction method. Then, we construct a new framework of knowledge reduction in which the capacity of one concept lattice implying another is defined to measure the significance of the attributes in a consistent decision formal context. Based on this reduction framework, we formulate an algorithm of searching for a minimal reduct of a consistent decision formal context. It is proved that this algorithm is complete and its time complexity is polynomial. Some numerical experiments demonstrate that the algorithm can generally obtain a minimal reduct and is much more efficient than some Boolean reasoning-based methods.