您的位置：山东大学 -> 科技期刊社 -> 《山东大学学报（理学版）》

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

• • 上一篇    下一篇

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

PDF (PC)

502

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
[1] 史开泉. 函数P-集合 [J].山东大学学报(理学版), 2011, 46(2):62-69. SHI Kaiquan. Function P-sets [J]. Journal of Shandong University(Natural Science), 2011, 46(2):62-69.
[2] 史开泉. 信息规律智能融合与软信息图像智能生成[J]. 山东大学学报(理学版), 2014,49(4):1-17. SHI Kaiquan. P-information law intelligent fusion and soft information image intelligent generation[J]. Journal of Shandong University(Natural Science), 2014, 49(4):1-17.
[3] 史开泉. P-集合 [J]. 山东大学学报(理学版), 2008, 43(11):78-84. SHI Kaiquan. P-sets[J]. Journal of Shandong University(Natural Science), 2008, 43(11):78-84.
[4] SHI Kaiquan. P-sets and its applications[J]. An International Journal Advances in Systems Science and Applications, 2009, 9(2):209-219.
[5] 史开泉. P-集合与它的应用特征[J]. 计算机科学, 2010,37(8):1-8. SHI Kaiquan. P-sets and its applied characteristics[J]. Computer Science, 2010, 37(8):1-8.
[6] 史开泉. P-推理与信息P-推理发现-辨识[J]. 计算机科学, 2011, 38(7):1-9. SHI Kaiquan. P-reasoning and P-reasoning discovery-identification of information [J]. Computer Science, 2011, 38(7):1-9.
[7] 史开泉. P-集合, 逆P-集合与 信息智能融合-过滤辨识 [J]. 计算机科学, 2012, 39(4):1-13. SHI Kaiquan. P-sets, inverse P-sets and the intelligent fusion-filter identification of information [J]. Computer Science, 2012, 39(4):1-13.
[8] LI Yuying, LIN Hongkang, SHI Kaiquan. Characteristics of data discrete interval and data discovery-application [J]. Systems Engineering and Electronics, 2011, 33(10): 2258-2262.
[9] YU Xiuqing. Internal P-set and Security Transmissionidentification of Information [J]. Journal of Computers, 2011, 6(10):2249-2254.
[10] 李豫颖, 林宏康. ((-overF),F)-数据离散矩形区域在数据辨识中的应用[J]. 山东大学学报(理学版), 2011, 46(3):46-51. LI Yuying, LIN Hongkuang. Application of data identification on((-overF),F)-discrete rectangle region[J]. Journal of Shandong University(Natural Science), 2011, 46(3):46-51.
[11] FAN Chengxian, LIN Hongkang. P-sets and the reasoning identification of disaster information[J]. An International Journal of Convergence Information Technology, 2012, 7(1): 337-345.
[12] LIN Hongkang, FAN Chengxian. The dual form P-reasoning and identification of unknown attribute [J]. International Journal of Digital Content Technology and its Applications, 2012, 6(1):121-131.
[13] SHI Kaiquan, LI Xiuhong. Camouflaged information identification and its application [J]. An International Journal Advances in Systems Science and Applications, 2010, 10(2): 157-167.
[14] ZHANG Li, CUI Yuquan. Outer P-sets and data internal recovery[J]. An International Journal Advances in Systems Science and Applications, 2010, 10(2):189-199.
[15] ZHANG Guanyu, LI Enzhong. Information gene and identification of its information Knock-out/knock-in [J]. An International Journal Advances in Systems Science and Applications, 2010, 10(2): 308-315.
[16] ZHANG Guanyu, ZHOU Houyong, SHI Kaiquan. P-sets and the recovery-identification of double P-data [J]. Systems Engineering and Electronics, 2010, 32(9): 1919-1924.
[17] LIN Rong, FAN Chengxian. Packet sets and identification of inward-convergence information [J]. An International Journal of Convergence Information Technology, 2012, 7(7): 157-164.
[18] 于秀清. (-overF)-迭代内嵌入信息生成与它的遗传发现-应用[J]. 系统工程与电子技术,2011, 33(12):2691-2695. YU Xiuqing. Generation of iterative (-overF)-intenal emnedding imformation and its heredity discovery-application[J].Systems Engineering and Electronics, 2011, 33(12):2691-2695.
[1] 陈保会,张凌,史开泉. P-信息智能动态融合与信息规律状态智能识别[J]. 山东大学学报（理学版）, 2018, 53(2): 83-87.
[2] 郭华龙,张凌. 数据分离与属性状态特征[J]. 山东大学学报（理学版）, 2017, 52(12): 89-94.
[3] 张凌,任雪芳,史开泉. 信息规律智能变换-伪装与P-规律增广矩阵[J]. 山东大学学报（理学版）, 2016, 51(8): 90-97.
[4] 吴松丽1,2,陈桂友3*. 外-扰动与属性合取收缩规律挖掘-分离[J]. 山东大学学报（理学版）, 2014, 49(06): 1-5.
[5] 史开泉. 信息规律智能融合与软信息图像智能生成[J]. 山东大学学报（理学版）, 2014, 49(04): 1-17.
[6] 汤积华1, 陈保会1*, 张凌1,白兴瑞2. 函数逆P-集合与逆P-信息规律动态分离[J]. J4, 2013, 48(8): 104-110.
[7] 徐凤生,于秀清. 信息规律状态的函数P-推理发现与应用[J]. J4, 2013, 48(12): 100-103.
[8] 史开泉. 函数逆P-集合与信息规律融合[J]. J4, 2012, 47(8): 73-80.
[9] 张景晓1,刘新华2. 函数P-集合与同物系物质结构-物性规律发现[J]. J4, 2012, 47(8): 98-102.
[10] 林蓉1,2,范成贤3. 函数P-集合与信息规律动态特征[J]. J4, 2012, 47(1): 121-126.
[11] 于秀清,徐凤生. P-规律推理与未知规律发现-应用[J]. J4, 2012, 47(1): 110-115.
[12] 赵文菊1, 范成贤2*. 函数P-集合属性依赖与应用[J]. J4, 2011, 46(6): 115-120.
[13] 史开泉. 函数P-集合[J]. J4, 2011, 46(2): 62-69.
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
No Suggested Reading articles found!
版权所有 © 2018 《山东大学学报(理学版)》编辑部　
地址: 山东省济南市山大南路27号山东大学中心校区（250100）　电话: +86-0531-88366917　E-mail: xblxb@sdu.edu.cn
本系统由北京玛格泰克科技发展有限公司设计开发