属性基数余-亏值定理与信息规律动态内-外分离  

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

作　　者：徐凤生[1] 于秀清[1] 史开泉[2] XU Feng-sheng YU Xiu-qing SHI Kai-quan(College of Mathematical Sciences, Dezhou University, Dezhou 253023, Shandong, China School of Mathematics and System Sciences, Shandong University, Jinan 250100, Shandong, China)

机构地区：[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

出　　处：《山东大学学报（理学版）》2017年第4期87-92,共6页Journal of Shandong University(Natural Science)

基　　金：山东省自然科学基金资助项目(ZR2010AL019);山东省高校科技计划(J12LN92)

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。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 separa- tion, and so on. Accordingly, internal separation theorem, outer separation theorem, and internal-outer separation theo- rem about information laws are derived by a series of reasoning. Finally, the new theoretical results are applied to cam- ouflage-hiding of information images.

关 键 词：函数P-集合 属性基数 余-亏值定理 信息规律分离 信息图像 伪装-隐藏 

分 类 号：O144[理学—数学]