【摘 要】
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Concept lattice theory is an efficient tool for data analysis.Reduction of attributes and objects for a context is an important issue in concept lattice theory.
【机 构】
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DepartmentofMathematics,HebeiUniversity,Baoding071002,China
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Concept lattice theory is an efficient tool for data analysis.Reduction of attributes and objects for a context is an important issue in concept lattice theory.We explore the relationships between matroidal spaces and concepts for a given context.With the assistance of matroid theory, we conduct the attribute reduction and object reduction for a context and formulate the concepts for a given context.As a generalization of the linear independence in vector spaces, matroids provide well established platforms for some algorithms such as greedy algorithm.
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