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Granulation degree of P-sets and discernibility-discovery of P-knowledge

LIU Ji-qin, ZHANG Tong   

  1. School of Mathematics and Quantitative Economics, Shandong University of Finance and Economics, 
    Jinan 250014, Shandong, China
  • Received:2014-02-24 Online:2014-06-20 Published:2014-06-14

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Abstract: By using P-sets, the concept and properties of granulation degree in P-sets is presented. The relation theorems between the granulation degree and packet degree, the decomposition theorems and the monotonicity theorem of the granulation degree are proposed. P-knowledge and its discernibility degree are defined. P-sets and the properties of the granulation degree are applied to discernibility-discovery of P-knowledge, and the discernibility-discovery theorems of P-knowledge are obtained. Finally, the discernibility-discovery theorems are applied to system state detectionrecognition, and the criterion of system state detection-recognition and its application are given.

Key words: discernibility-discovery theorem, detection-recognition criterion, granulation degree, P-sets, P-knowledge

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