JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2015, Vol. 50 ›› Issue (10): 13-18.doi: 10.6040/j.issn.1671-9352.7.2015.002

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Surplus-deficiency of cardinal number and inverse P-augmented matrices

REN Xue-fang1, ZHANG Ling1, SHI Kai-quan2   

  1. 1. School of Information Engineering, Longyan University, Longyan 364012, Fujian, China;
    2. 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 using the dynamic characteristics of inverse P-sets and improving ordinary augmented matrix, internal inverse P-augmented matrix, outer inverse P-augmented matrix and inverse P-augmented matrix are put forward;their structures,generations and relations are given. By crossing the surplus-deficiency of cardinal number with inverse P-augmented matrix, the relationship theorem between surplus value of cardinal number and internal inverse P-augmented matrix, the relationship theorem between deficient value of cardinal number and outer inverse P-augmented matrix, and the relationship theorem between surplus-deficient value of cardinal number and inverse P-augmented matrix are proposed. Finally, an application of these results above is shown.

Key words: inverse P-sets, inverse P-augmented matrix, attribute relationship, theorem of inverse P-augmented matrix, cardinal number

CLC Number: 

  • O144
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