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山东大学学报（理学版） ›› 2017, Vol. 52 ›› Issue (4): 87-92.doi: 10.6040/j.issn.1671-9352.0.2016.509

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属性基数余-亏值定理与信息规律动态内-外分离

徐凤生1,于秀清1,史开泉2   

  1. 1. 德州学院数学科学学院, 山东 德州 253023;2.山东大学数学学院, 山东 济南 250100
  • 收稿日期:2016-11-03 出版日期:2017-04-20 发布日期:2017-04-11
  • 作者简介:徐凤生(1965— ),男,教授,研究方向为信息系统理论与应用.E-mail: sxxxfs@126.com
  • 基金资助:
    山东省自然科学基金资助项目(ZR2010AL019);山东省高校科技计划(J12LN92)

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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摘要： 函数P-集合是一种特殊的P-集合,在对函数P-集合的属性集合研究的基础上,给出属性基数余-亏与信息规律动态分离概念,给出信息规律内-分离定理、外-分离定理与内-外分离定理。利用这些结果,给出属性基数余-亏在信息图像伪装-隐藏中的应用。

关键词: 函数P-集合, 属性基数, 信息图像, 信息规律分离, 伪装-隐藏, 余-亏值定理

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

中图分类号: 

  • O144
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