2007Journal of Southwest Jiaotong UniversityRequires access

Positive Region Deduction of Decision Table and Computation of Core

Yan Gao

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Abstract

The problems of positive region reduction of decision table and computation of core were investigated so as to reduce the complexity of computation.The discernibility condition about decision objects was constructed,and the relationship between the positive region reduction and the set of discernibility attributes was discussed.A complete reduction method was proposed based on discernibility matrix and discernibility function.With this method,the positive region needs not to be calculated and the discernibility matrix can be constructed directly from the decision table.

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What this paper is about

The problems of positive region reduction of decision table and computation of core were investigated so as to reduce the complexity of computation.The discernibility condition about decision objects was constructed,and the relationship between the positive region reduction and the set of discernibility attributes was discussed.A complete reduction method was proposed based on discernibility matrix and discernibility function.With this method,the positive region needs not to be calculated and the discernibility matrix can be constructed directly from the decision table.

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Available abstract

The problems of positive region reduction of decision table and computation of core were investigated so as to reduce the complexity of computation.The discernibility condition about decision objects was constructed,and the relationship between the positive region reduction and the set of discernibility attributes was discussed.A complete reduction method was proposed based on discernibility matrix and discernibility function.With this method,the positive region needs not to be calculated and the discernibility matrix can be constructed directly from the decision table.

Key concepts: Decision table, Rough set, Reduction (mathematics), Computation, Matrix (chemical analysis), Mathematics, Table (database), Core (optical fiber)

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