JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2019, Vol. 54 ›› Issue (9): 15-21.doi: 10.6040/j.issn.1671-9352.0.2018.382

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The relationship between abnormal information system and inverse P-augmented matrices

Ling ZHANG(),Xue-fang REN*()   

  1. School of Mathematics and Information Engineering, Longyan University, Longyan 364012, Fujian, China
  • Received:2018-07-10 Online:2019-09-20 Published:2019-07-30
  • Contact: Xue-fang REN E-mail:zl79024@163.com;renxf0311@163.com
  • Supported by:
    大数据挖掘与应用福建省高校重点实验室资助项目(龙岩学院);福建省中青年教师教育科研项目(JAT160495)

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Abstract:

Inverse P-sets are models with dynamic characteristics, inverse P-augmented matrices are the new mathematical concepts obtained by using inverse P-sets to improve general augmented matrix. For convenience of discussion, the general augmented matrix A is defined as system's normal state, internal inverse P-augmented matrix AF and outer inverse P-augmented matrix AF are all defined as system's abnormal states, then the concept of matrix content, its measurement and its correlation theorems are proposed. Based on the above concepts, the relation theorem between system's abnormal state and internal inverse P-augmented matrix, the relation theorem between system's abnormal state and outer inverse P-augmented matrix, and the matrix content recognition criterion of system's abnormal state are given. Finally, an application and its experimental verification are shown.

Key words: inverse P-sets, inverse P-augmented matrices, matrix content, content theorem, relation theorem

CLC Number: 

  • O144
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