JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2015, Vol. 50 ›› Issue (10): 1-12.doi: 10.6040/j.issn.1671-9352.7.2015.001

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P-augmented matrix and dynamic intelligent discovery-identification of information

SHI Kai-quan   

  1. 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

Abstract: By improving ordinary augmented matrix and crossing the concept of ordinary augmented matrix and the dynamic structure of P-sets, P-augmented matrix is proposed,and its structure is also given. P-augmented matrix consists of internal P-augmented matrix and outer P-augmented matrix. Then the attribute theorems of internal P-augmented matrix, outer P-augmented matrix and P-augmented matrix are obtained. The reduction relationships between P-augmented matrix and ordinary augmented matrix are given. By improving P-inference, P-augmented matrix inference is proposed, and its inference structure is given. P-augmented matrix inference consists of internal P-augmented matrix inference and outer P-augmented matrix inference. Then P-augmented conjunctive normal form of attribute is proposed, and the relationships between P-augmented conjunctive normal form of attribute and ordinary conjunctive normal form of attribute are given. The reduction theorems of P-augmented conjunctive normal form of attribute and dynamic intelligent discovery-identification of information that satisfy the antecedent of P-augmented matrix inference are proposed. Finally, an application is shown.

Key words: P-sets, P-augmented matrix, matrix inference, intelligent discovery of information, discovery-identification theorem

CLC Number: 

  • O144
[1] 史开泉. P-集合[J]. 山东大学学报:理学版, 2008, 43(11):77-84. SHI Kaiquan. P-sets[J]. Journal of Shandong University: Natural Science, 2008, 43(11):77-84.
[2] SHI Kaiquan. P-sets and its applications[J]. Advances in Systems Science and Applications, 2009, 9(2):209-219.
[3] 史开泉. P-集合与它的应用特性[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.
[4] 史开泉. P-推理与信息的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.
[5] 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.
[6] FAN Chengxian, LIN Hongkang. P-sets and the reasoning-identification of disaster information[J]. International Journal of Convergence Information Technology, 2012, 7(1):337-345.
[7] LIN Hongkang, FAN Chengxian. The dual form of P-reasoning and identification of unknown attribute[J]. International Journal of Digital Content Technology and its Applications, 2012, 6(1):121-131.
[8] 张丽, 崔玉泉, 史开泉. 外P-集合与数据内-恢复[J]. 系统工程与电子技术, 2010, 32(6):1233-1238. ZHANG LI, CUI Yuquan, SHI Kaiquan. Outer P-sets and data internal recovery[J]. Systems Engineering and Electronics, 2010, 32(6):1233-1238.
[9] 汪洋, 耿红琴, 史开泉. P-集合与动态信息依赖-发现[J]. 系统工程与电子技术, 2011, 33(9):2035-2038. WANG Yang, GENG Hongqin, SHI Kaiquan. P-sets and dependence-discovery of dynamic information[J]. Systems Engineering and Electronics, 2011, 33(9):2035-2038.
[10] 李豫颖, 林宏康, 史开泉. 数据离散区间特征与数据发现-应用[J]. 系统工程与电子技术, 2011, 33(10):2258-2262. 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.
[11] 张凌, 汤积华, 史开泉. 内P-信息融合与它的属性合取特征[J]. 山东大学学报: 理学版, 2014, 49(2):93-97. ZHANG Ling, TANG Jihua, SHI Kaiquan. The fusion of internal packet information and its feature of attribute conjunction[J]. Journal of Shandong University: Natural Science, 2014, 49(2):93-97.
[12] 史开泉, 张丽. 内P-集合与数据外-恢复[J]. 山东大学学报: 理学版, 2009, 44(4):8-14. SHI Kaiquan, ZHANG Li. Internal P-set and data outer-recovery[J]. Journal of Shandong University: Natural Science, 2009, 44(4):8-14.
[13] 张冠宇, 周厚勇, 史开泉. P-集合与双P-数据恢复-辨识[J]. 系统工程与电子技术, 2010, 32(9):1919-1924. ZHANG Guanyu, ZHOU Houyong, SHI Kaiquan. P-sets and the recovery-identification double[J]. Systems Engineering and Electronics, 2010, 32(9):1919-1924.
[14] ZHANG Ling, REN Xuefang. P-sets and (f, f) -heredity[J]. Quantitative Logic and Soft Computing, 2010, 2(1):735-743.
[15] 赵树理, 范成贤, 史开泉. 外P-信息生成与它的推理-搜索发现[J]. 山东大学学报: 理学版, 2012, 47(11):99-104. ZHOU Shuli, FAN Chenxian, SHI Kaiquan. Outer P-information generation and its reasoning-searching discovery[J]. Journal of Shandong University: Natural Science, 2012, 47(1):99-104.
[16] 赵树理, 吴松丽, 史开泉. 内P-推理信息恢复与属性潜藏推理发现[J]. 计算机科学, 2013, 40(4):209-213. ZHOU Shuli, WU Songli, SHI Kaiquan. Internal P-reasoning information recovery and attribute hiding searching discovery[J]. Computer Science, 2013, 40(4):209-213.
[17] 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.
[18] SHI Kaiquan. Function P-sets[J]. International Journal of Machine Learning and Cybernetics, 2011, 2(4):281-288.
[19] 史开泉. P-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.
[20] 汤积华, 张凌, 史开泉. 信息规律智能融合与它的智能融合分离[J]. 计算机科学, 2015, 42(2):204-209. TANG Jihua, ZHANG Ling, SHI Kaiquan. Intelligent fusion of information law and its inner separation[J]. Computer Science, 2015, 42(2):204-209.
[21] 林蓉, 范成贤. 函数P-集合与信息规律动态特性[J]. 山东大学学报: 理学版, 2012, 47(1):121-126. LIN Rong, FAN Chengxian. Function P-sets and dynamic characteristics of information law[J]. Journal of Shandong University: Natural Science, 2012, 47(1):121-126.
[22] 史开泉. 逆P-集合[J]. 山东大学学报: 理学版, 2012, 47(1):98-109. SHI Kaiquan. Inverse P-sets[J]. Journal of Shandong University: Natural Science, 2012, 47(1):98-109.
[23] 史开泉, 汤积华, 张凌. 逆P-信息智能融合与信息智能隐藏的隐性传递[J]. 系统工程与电子技术, 2015, 37(3):599-605. SHI Kaiquan, TANG Jihua, ZHANG Ling. Intelligent fusion of inverse packet information and recessive transmission of information's intelligent hiding[J]. Systems Engineering and Electronics, 2015, 37(3):599-605.
[24] 史开泉. 函数逆P-集合与信息规律融合[J]. 山东大学学报:理学版, 2012, 47(8):73-80. SHI Kaiquan. Function inverse P-sets and information law fusion[J]. Journal of Shandong University: Natural Science, 2012, 47(8):73-80.
[25] LIN Kongkang, FAN Chengxian. Embedding camouflage of inverse P-information and application[J]. International Journal of Convergence Information and Technology, 2012, 7(20):471-480
[26] FAN Chengxian, HUANG Shunliang. Inverse P-reasoning discovery identification of inverse P-information[J]. International Journal of Digital Content Technology and its Applications, 2012, 6(20):735-744.
[27] SHI Kaiquan. Function inverse P-sets and the hiding information generated by function inverse P-information law fusion[C]. Digital Services and Information Intelligence: IFIP Advances in Information and Communication Technology. Berlin: Springer, 2014, 55:224-237.
[28] 汤积华, 陈保会, 张凌, 等. 函数逆P-集合与逆P-信息规律动态分离[J]. 山东大学学报: 理学版, 2013, 48(8):104-110. TANG Jihua, CHEN Baohui, ZHANG Ling, et al. Function inverse P-sets and the dynamic separation of inverse P-information laws[J]. Journal of Shandong University: Natural Science, 2013, 48(8):104-110.
[29] SHI Kaiquan, CHANG Tingzheng. One direction S-rough sets[J]. International Journal of Fuzzy Mathematics, 2005, 13(2):319-334.
[30] SHI Kaiquan. Two direction S-rough sets[J]. International Journal of Fuzzy Mathematics, 2005, 13(2):335-349.
[31] SHI Kaiquan. S-rough sets and knowledge separation[J]. Journal of Systems Engineering and Electronics, 2005, 16(2):237-240.
[32] 史开泉. S-粗集与新材料发现-识别[J]. 系统工程与电子技术,2006, 28(3):383-388. SHI Kaiquan. S-rough sets and discovery-recognition of new material[J]. Systems Engineering and Electronics, 2006, 28(3):383-388.
[33] 史开泉. 函数S-粗集, 函数粗集与信息系统规律拆分-合成[J]. 计算机科学, 2010, 37(10):1-10. SHI Kaiquan. Function S-rough sets, function rough sets and separation-composition of law for information systems[J]. Computer Science, 2010, 37(10):1-10.
[34] 史开泉, 姚炳学. 函数S-粗集与规律辨识[J]. 中国科学: 信息科学, 2008, 38(4):553-564. SHI Kaiquan, YAO Bingxue. Function S-rough sets and law identification[J]. Science in China Information Science, 2008, 38(4):553-564.
[35] 史开泉, 赵建立. 函数S-粗集与隐藏规律安全-认证[J]. 中国科学:信息科学, 2008, 38(8):1234-1243. SHI Kaiquan, ZHAO Jianli. Function S-rough sets and security-authentication of hiding law[J]. Science in China Information Science, 2008, 38(8):1234-1243.
[36] SHI Kaiquan, YAO Bingxue. Function S-rough sets and law identification[J]. Science in China Information Science, 2008, 51(5):499-510.
[37] SHI Kaiquan, ZHAO Jianli. Function S-rough sets and security-authentication of hiding law[J]. Science in China Information Sciences, 2008, 51(7):924-935.
[38] PAWLAK Z. Rough sets[J]. International Journal of Computer and Information Sciences, 1982, 32(11):341-356.
[39] 史开泉, 姚炳学. 函数S-粗集与系统规律挖掘[M]. 北京: 科学出版社, 2007: 147-198.
[40] 史开泉, 崔玉泉. S-粗集与粗决策[M]. 北京: 科学出版社, 2006: 155-165.
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