### Block discernibility matrix based on decision classification and its algorithm finding the core

ZUO Zhi-cui1,2, ZHANG Xian-yong1,2*, MO Zhi-wen1,2, FENG Lin3

1. 1. College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan, China;
2. Institute of Intelligent Information and Quantum Information, Sichuan Normal University, Chengdu 610066, Sichuan, China;
3. College of Computer Science, Sichuan Normal University, Chengdu 610066, Sichuan, China
• Received:2018-04-15 Online:2018-08-20 Published:2018-07-11

Abstract: Attribute reduction is the fundamental approach of rough set theory to implement data mining, and its relevant algorithms are mainly based on the core. For the core, both its representation of the discernibility matrix and its calculation for finding the core exhibit important significance, but the existing discernibility matrix and its core algorithm have time and space limitations. According to the sparsity and large scale of the discernibility matrix, the block discernibility matrix based on the decision classification and its algorithm finding the core are proposed, and thus the decision classification information is directly applied to the form structure and problem solving. At first, the block discernibility matrix is defined by the decision classification, and its calculation algorithm is achieved. Then, based on the block discernibility matrix, the essence and algorithm of the core are provided. Finally, the proposed methods effectiveness is verified by the example and experiment. The block discernibility matrix based on the decision classification effectively implements the information extraction and dimensionality reduction, so its relevant algorithm finding the core well decreases the time and space complexities of the corresponding algorithm based on the discernibility matrix.

CLC Number:

• TP18
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