JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2017, Vol. 52 ›› Issue (4): 87-92.doi: 10.6040/j.issn.1671-9352.0.2016.509

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Surplus-loss value theorems of attribute cardinal numbers and internal-outer separation of information laws

XU Feng-sheng1, YU Xiu-qing1, SHI Kai-quan2   

  1. 1. College of Mathematical Sciences, Dezhou University, Dezhou 253023, Shandong, China;
    2. School of Mathematics and System Sciences, Shandong University, Jinan 250100, Shandong, China
  • Received:2016-11-03 Online:2017-04-20 Published:2017-04-11

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Abstract: Function packet sets(function P-sets)is a special form of packet sets(P-sets). Based on the rasearch on the attribute sets of function P-sets, some concepts are proposed, such as the attribute cardinal number, information separation, and so on. Accordingly, internal separation theorem, outer separation theorem, and internal-outer separation theorem about information laws are derived by a series of reasoning. Finally, the new theoretical results are applied to camouflage-hiding of information images.

Key words: function P-sets, attribute cardinal number, camouflage-hiding, surplus-loss value theorem, information image, information law separation

CLC Number: 

  • O144
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