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Mining Algorithm for Minimal Rule Based on Concept Lattice |
QIU Wei-Gen |
Computer Faculty, Guangdong University of Technology, Guangzhou 510090 State Key Laboratory of Intelligent Technology and Systems, Department of Computer Science and Technology, Tsinghua University, Beijing 100084 |
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Abstract The concept lattice is an important mathematic tool for knowledge treatment and data analysis, its efficient construction algorithm is significant in rules acquisition of decision table. In this paper, the formal context and concept lattice model of decision table are constructed, the relationships among the extended indistinguishable matrix, concept lattice and minimal rule are analyzed. All the concept node intension comes from property element of extended indistinguishable matrix and all the condition properties of optimal decision rule are from the intension reduction of a concept lattice node. Two algorithms are developed for constructing the corresponding concept lattice incrementally and acquisition of minimal decision rule based on the concept lattice, and their simplicity and efficiency are proved by an enterprise example.
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Received: 15 December 2007
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