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Matrix Computation for Assignment Reduction and Rule Extraction in Incomplete Information Systems

Xianzhong Zhou

Abstract

Based on tolerance relation defined in the reference [6], tolerance matrix and assignment decision matrix are defined first. Then assignment rule extracting from incomplete information systems is realized by comparing the relation between tolerance matrices determined by condition attribute subsets and assignment decision matrix. Finally, an example illustrates the validity of this method. This method shows merits in extracting all assignment rules from incomplete information systems and acquiring all reducts.

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Key concepts: Computer science, Reduction (mathematics), Matrix (chemical analysis), Relation (database), Decision matrix, Logical matrix, Computation, Data mining