两类动态信息模型及其应用
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摘要
P-集合(P-sets)是一类具有动态特征的集合模型,在P-集合中,元素的属性满足数理逻辑中的合取范式。P-集合是把动态特性引入到有限普通元素集合(有限Cantor set)X内,来改进有限普通元素集合X而提出的。逆P-集合(Inverse P-sets)是另一类具有动态特征的集合模型,在逆P-集合中元素的属性满足数理逻辑中的析取范式。逆P-集合是把动态特性引入到有限普通元素集合X内,来改进有限普通元素集合X而提出的。逆P-集合是P-集合的对偶形式。定义P-集合是一类动态信息模型,定义逆P-集合是另一类动态信息模型。文中主要介绍P-集合与逆P-集合的结构、生成与动态特征;给出P-集合、逆P-集合存在的事实;利用P-集合,给出具有属性合取范式的信息的递推-搜索发现与应用;利用逆P-集合,给出具有属性析取范式的信息的挖掘-获取与应用。P-集合、逆P-集合是研究动态信息(动态数据)应用的新模型、新方法。
P-set is a type of set model with dynamic characteristics,in which the elements' attribute satisfies the conjunctive normal form in mathematical logic.P-set is proposed by introducing dynamic characteristics into finite ordinary element set(finite Cantor set)Xand improving it.Inverse P-set is another type of set model with dynamic characteristics,in which the elements' attribute satisfies the disjunctive normal form in mathematical logic.Inverse P-set is also proposed by introducing dynamic characteristics into finite ordinary element set Xand improving it.Inverse P-set is the dual form of P-set.Here P-set is defined as a type of dynamic information model,while inverse P-set is defined as another type of dynamic information model.In this paper,the structures,generations and dynamic characteristics of P-sets and inverse P-sets were introduced.The existence facts of P-sets and inverse P-sets were presented.By employing Psets,the recursive searching-finding and application of information with attribute conjunctive normal form were given.By using inverse P-sets,the the mining-acquisition and application of information with attribute disjunctive normal form were given.P-sets and inverse P-sets are the new models and new methods for the application research of dynamic information or dynamic data.
P-set is a type of set model with dynamic characteristics,in which the elements' attribute satisfies the conjunctive normal form in mathematical logic.P-set is proposed by introducing dynamic characteristics into finite ordinary element set(finite Cantor set)Xand improving it.Inverse P-set is another type of set model with dynamic characteristics,in which the elements' attribute satisfies the disjunctive normal form in mathematical logic.Inverse P-set is also proposed by introducing dynamic characteristics into finite ordinary element set Xand improving it.Inverse P-set is the dual form of P-set.Here P-set is defined as a type of dynamic information model,while inverse P-set is defined as another type of dynamic information model.In this paper,the structures,generations and dynamic characteristics of P-sets and inverse P-sets were introduced.The existence facts of P-sets and inverse P-sets were presented.By employing Psets,the recursive searching-finding and application of information with attribute conjunctive normal form were given.By using inverse P-sets,the the mining-acquisition and application of information with attribute disjunctive normal form were given.P-sets and inverse P-sets are the new models and new methods for the application research of dynamic information or dynamic data.
引文
[1]SHI K Q.P-sets[J].Journal of Shandong University(Natural Science),2008,43(11):77-84.(in Chinese)史开泉.P-集合[J].山东大学学报(理学版),2008,43(11):77-84.
[2]SHI K Q.P-sets and its application[J].Advances in Systems Science and Applications,2009,9(2):209-219.
[3]SHI K Q.P-sets,inverse P-sets and the intelligent fusion-filter identification of information[J].Computer Science,2012,39(4):1-13.(in Chinese)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.
[4]FAN C X,LIN H K.P-sets and the reasoning-identification of disaster information[J].International Journal of Convergence Information Technology,2012,7(1):337-345.
[5]LIN H K,FAN C X.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.
[6]LI Y Y,LIN H K,SHI K Q.Characteristics of data discrete interval and data discovery-application[J].Systems Engineering and Electronics,2011,33(10):2258-2262.(in Chinese)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.
[7]ZHANG L,REN X F.P-Sets and its(f,f-)-Heredity[C]∥Proceedings of International Conference on Quantitative Logic and Soft Computing.Berlin:Springer-Verlag,2010:735-743.
[8]XIU M,SHI K Q,ZHANG L.P-sets and F--data Selection-Discovery[C]∥Proceedings of International Conference on Quantitative Logic and Soft Computing.Berlin:Springer-Verlag,2010:791-799.
[9]ZHANG L,TANG J H,SHI K Q.The fusion of internal P-information and its feature of attribute conjunction[J].Journal of Shandong University(Natural Science),2014,49(2):93-97.(in Chinese)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.
[10]ZHANG L,REN X F,SHI K Q.Intelligent switch-camouflage of information laws and P-law augmented matrices[J].Journal of Shandong University(Natural Science),2016,51(8):90-97.(in Chinese)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.
[11]SHI K Q.Inverse P-sets[J].Journal of Shandong University(Natural Science),2012,47(1):98-109.(in Chinese)史开泉.逆P-集合[J].山东大学学报(理学版),2012,47(1):98-109.
[12]SHI K Q.Function inverse P-sets and the hiding information generated by function inverse P-information law fusion[C]∥Proceedings of Digital Services and Information Intelligence on e-Business,e-Services,and e-Society.Berlin:Springer-Verlag,2014:224-237.
[13]FAN C X,HUANG S L.Inverse P-reasoning discovery identification of inverse P-information[J].International Journal of Digital Content Technology and its Applications,2012,6(20):735-744.
[14]SHI K Q,TANG J H,ZHANG L.Intelligent fusion of inverse P-information and recessive transmission of information intelligent hiding[J].Systems Engineering and Electronics,2015,37(3):599-605.(in Chinese)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.
[15]ZHANG L,REN X F.Surplus-deficient theorem of cardinal number and data internal-outer mining-separation[J].Journal of Shandong University(Natural Science),2015,50(8):90-94.(in Chinese)张凌,任雪芳.基数余-亏定理与数据外-内挖掘-分离[J].山东大学学报(理学版),2015,50(8):90-94.
[16]REN X F,ZHANG L,SHI K Q.Boundary Characteristics of Inverse P-sets and System Condition Monitoring[J].Computer Science,2016,43(10):211-213.(in Chinese)任雪芳,张凌,史开泉.逆P-集合的边界特征与系统状态监测[J].计算机科学,2016,43(10):211-213.
[17]REN X F,ZHANG L.Perturbation theorems of inverse P-sets and perturbation-based data mining[J].Journal of Shandong U-niversity(Natural Science),2016,51(12):54-60.(in Chinese)任雪芳,张凌.逆P-集合的扰动定理与数据的扰动挖掘[J].山东大学学报(理学版)2016,51(12):54-60.
[18]SHI K Q.Function P-sets[J].Journal of Shandong University(Natural Science),2011,46(2):62-69.(in Chinese)史开泉.函数P-集合[J].山东大学学报(理学版),2011,46(2):62-69.
[19]SHI K Q.Function P-sets[J].International Journal of Machine Learning and Cybernetics,2011,2(4):281-288.
[20]SHI K Q.P-information law intelligent fusion and soft information image intelligent generation[J].Journal of Shandong University(Natural Science),2014,49(4):1-17.(in Chinese)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.
[21]FAN C X,CHANG F L,SHI K Q.The generation of band information law and dynamic hiding of information law[J].International Journal of Machine Learning and Cybernetics,2016,7(3):443-449.
[22]SHI K Q.Function inverse P-sets and information law fusion[J].Journal of Shandong University(Natural Science),2012,47(8):73-80.(in Chinese)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.
[23]TANG J H,CHEN B H,ZHANG L,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.(in Chinese)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.
[24]ZHANG J X,XU F S.Applications of function internal inverse P-set to QSPQ research[J].Journal of Shandong University(Natural Science),2013,48(8):92-96.(in Chinese)张景晓,徐风生.函数内逆P-集合在QSPR研究中的应用[J].山东大学学报(理学版),2013,48(8):92-96.
[2]SHI K Q.P-sets and its application[J].Advances in Systems Science and Applications,2009,9(2):209-219.
[3]SHI K Q.P-sets,inverse P-sets and the intelligent fusion-filter identification of information[J].Computer Science,2012,39(4):1-13.(in Chinese)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.
[4]FAN C X,LIN H K.P-sets and the reasoning-identification of disaster information[J].International Journal of Convergence Information Technology,2012,7(1):337-345.
[5]LIN H K,FAN C X.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.
[6]LI Y Y,LIN H K,SHI K Q.Characteristics of data discrete interval and data discovery-application[J].Systems Engineering and Electronics,2011,33(10):2258-2262.(in Chinese)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.
[7]ZHANG L,REN X F.P-Sets and its(f,f-)-Heredity[C]∥Proceedings of International Conference on Quantitative Logic and Soft Computing.Berlin:Springer-Verlag,2010:735-743.
[8]XIU M,SHI K Q,ZHANG L.P-sets and F--data Selection-Discovery[C]∥Proceedings of International Conference on Quantitative Logic and Soft Computing.Berlin:Springer-Verlag,2010:791-799.
[9]ZHANG L,TANG J H,SHI K Q.The fusion of internal P-information and its feature of attribute conjunction[J].Journal of Shandong University(Natural Science),2014,49(2):93-97.(in Chinese)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.
[10]ZHANG L,REN X F,SHI K Q.Intelligent switch-camouflage of information laws and P-law augmented matrices[J].Journal of Shandong University(Natural Science),2016,51(8):90-97.(in Chinese)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.
[11]SHI K Q.Inverse P-sets[J].Journal of Shandong University(Natural Science),2012,47(1):98-109.(in Chinese)史开泉.逆P-集合[J].山东大学学报(理学版),2012,47(1):98-109.
[12]SHI K Q.Function inverse P-sets and the hiding information generated by function inverse P-information law fusion[C]∥Proceedings of Digital Services and Information Intelligence on e-Business,e-Services,and e-Society.Berlin:Springer-Verlag,2014:224-237.
[13]FAN C X,HUANG S L.Inverse P-reasoning discovery identification of inverse P-information[J].International Journal of Digital Content Technology and its Applications,2012,6(20):735-744.
[14]SHI K Q,TANG J H,ZHANG L.Intelligent fusion of inverse P-information and recessive transmission of information intelligent hiding[J].Systems Engineering and Electronics,2015,37(3):599-605.(in Chinese)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.
[15]ZHANG L,REN X F.Surplus-deficient theorem of cardinal number and data internal-outer mining-separation[J].Journal of Shandong University(Natural Science),2015,50(8):90-94.(in Chinese)张凌,任雪芳.基数余-亏定理与数据外-内挖掘-分离[J].山东大学学报(理学版),2015,50(8):90-94.
[16]REN X F,ZHANG L,SHI K Q.Boundary Characteristics of Inverse P-sets and System Condition Monitoring[J].Computer Science,2016,43(10):211-213.(in Chinese)任雪芳,张凌,史开泉.逆P-集合的边界特征与系统状态监测[J].计算机科学,2016,43(10):211-213.
[17]REN X F,ZHANG L.Perturbation theorems of inverse P-sets and perturbation-based data mining[J].Journal of Shandong U-niversity(Natural Science),2016,51(12):54-60.(in Chinese)任雪芳,张凌.逆P-集合的扰动定理与数据的扰动挖掘[J].山东大学学报(理学版)2016,51(12):54-60.
[18]SHI K Q.Function P-sets[J].Journal of Shandong University(Natural Science),2011,46(2):62-69.(in Chinese)史开泉.函数P-集合[J].山东大学学报(理学版),2011,46(2):62-69.
[19]SHI K Q.Function P-sets[J].International Journal of Machine Learning and Cybernetics,2011,2(4):281-288.
[20]SHI K Q.P-information law intelligent fusion and soft information image intelligent generation[J].Journal of Shandong University(Natural Science),2014,49(4):1-17.(in Chinese)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.
[21]FAN C X,CHANG F L,SHI K Q.The generation of band information law and dynamic hiding of information law[J].International Journal of Machine Learning and Cybernetics,2016,7(3):443-449.
[22]SHI K Q.Function inverse P-sets and information law fusion[J].Journal of Shandong University(Natural Science),2012,47(8):73-80.(in Chinese)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.
[23]TANG J H,CHEN B H,ZHANG L,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.(in Chinese)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.
[24]ZHANG J X,XU F S.Applications of function internal inverse P-set to QSPQ research[J].Journal of Shandong University(Natural Science),2013,48(8):92-96.(in Chinese)张景晓,徐风生.函数内逆P-集合在QSPR研究中的应用[J].山东大学学报(理学版),2013,48(8):92-96.