JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2015, Vol. 50 ›› Issue (10): 1-12.doi: 10.6040/j.issn.1671-9352.7.2015.001

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P-augmented matrix and dynamic intelligent discovery-identification of information

SHI Kai-quan   

  1. School of Mathematics, Shandong University, Jinan 250100, Shandong, China
  • Received:2015-08-31 Revised:2015-09-10 Online:2015-10-20 Published:2015-10-21

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Abstract: By improving ordinary augmented matrix and crossing the concept of ordinary augmented matrix and the dynamic structure of P-sets, P-augmented matrix is proposed,and its structure is also given. P-augmented matrix consists of internal P-augmented matrix and outer P-augmented matrix. Then the attribute theorems of internal P-augmented matrix, outer P-augmented matrix and P-augmented matrix are obtained. The reduction relationships between P-augmented matrix and ordinary augmented matrix are given. By improving P-inference, P-augmented matrix inference is proposed, and its inference structure is given. P-augmented matrix inference consists of internal P-augmented matrix inference and outer P-augmented matrix inference. Then P-augmented conjunctive normal form of attribute is proposed, and the relationships between P-augmented conjunctive normal form of attribute and ordinary conjunctive normal form of attribute are given. The reduction theorems of P-augmented conjunctive normal form of attribute and dynamic intelligent discovery-identification of information that satisfy the antecedent of P-augmented matrix inference are proposed. Finally, an application is shown.

Key words: P-sets, P-augmented matrix, matrix inference, intelligent discovery of information, discovery-identification theorem

CLC Number: 

  • O144
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