一个系统(控制系统、通讯系统)没有受到某个规律的干扰(或攻击),则系统处于稳定运动状态或者按预定的规律运动。未知规律进入到系统中,对系统进行干扰,使得系统的运动规律紊乱。利用函数单向S-粗集对偶(dual of function one direction ...一个系统(控制系统、通讯系统)没有受到某个规律的干扰(或攻击),则系统处于稳定运动状态或者按预定的规律运动。未知规律进入到系统中,对系统进行干扰,使得系统的运动规律紊乱。利用函数单向S-粗集对偶(dual of function one direction singular rough sets),给出系统中■-生成规律的概念,给出■-生成规律的生成模型和对系统规律的识别。函数单向S-粗集对偶是识别系统中存在干扰规律,识别系统规律的一个新的理论与方法。展开更多
P-集合(packet sets)是由内P-集合X■(internal packet set X■)与外P-集合XF(outer packet set XF)构成的集合对;或者,(X■,XF)是P-集合。P-集合具有动态特性。P-集合的动态特性来自对集合X的属性集合α给予部分属性补充和部分属性删...P-集合(packet sets)是由内P-集合X■(internal packet set X■)与外P-集合XF(outer packet set XF)构成的集合对;或者,(X■,XF)是P-集合。P-集合具有动态特性。P-集合的动态特性来自对集合X的属性集合α给予部分属性补充和部分属性删除。利用P-集合的结构与动态特性,给出了F-记忆信息生成概念、F-记忆信息的度量与F-记忆信息的F-记忆圆概念,提出了F-记忆信息存在性定理、F-记忆信息恢复定理与F-记忆信息特性定理。利用这些结果,给出了F-记忆信息的应用。指出P-集合是研究动态信息系统的一个新的数学模型与数学方法。展开更多
利用单向S-粗集(one direction singular rough sets)与它的动态特性,给出F-阶梯知识、F-阶梯度的概念。利用这些概念,提出F-阶梯知识分辩定理、最小F-阶梯知识挖掘-发现定理、最大F-阶梯知识挖掘-发现定理、知识发现依赖-筛选定理与F-...利用单向S-粗集(one direction singular rough sets)与它的动态特性,给出F-阶梯知识、F-阶梯度的概念。利用这些概念,提出F-阶梯知识分辩定理、最小F-阶梯知识挖掘-发现定理、最大F-阶梯知识挖掘-发现定理、知识发现依赖-筛选定理与F-阶梯知识内潜藏原理,给出F-阶梯知识挖掘-发现准则及应用。这些结果是单向S-粗集的新特性与单向S-粗集的动态特性的新应用。展开更多
Using function one direction S-rough sets (function one direction singular rough sets), f-law and F- law and the concept of law distance and the concept of system law collided by F-law are given. Using these concept...Using function one direction S-rough sets (function one direction singular rough sets), f-law and F- law and the concept of law distance and the concept of system law collided by F-law are given. Using these concepts, state characteristic presented by system law collided by F-law and recognition of these states characteristic and recognition criterion and applications are given. Function one direction S-rough sets is one of basic forms of function S-rough sets (function singular rough sets). Function one direction S-rough sets is importance theory and is a method in studying system law collision.展开更多
The concept of F-knowledge is presented by employing S-rough sets. By engrafting and penetrating between the F-knowledge generated by S-rough sets and the RSA algorithm, the security transmission and recognition of mu...The concept of F-knowledge is presented by employing S-rough sets. By engrafting and penetrating between the F-knowledge generated by S-rough sets and the RSA algorithm, the security transmission and recognition of multi-agent F-knowledge are proposed, which includes the security transmission of multi-agent F-knowledge with positive direction secret key and the security transmission of multi-agent F-knowledge with reverse direction secret key. Finally, the recognition criterion and the applications of F-knowledge are presented. The security of F-knowledge is a new application research direction of S-rough sets in information systems.展开更多
文摘一个系统(控制系统、通讯系统)没有受到某个规律的干扰(或攻击),则系统处于稳定运动状态或者按预定的规律运动。未知规律进入到系统中,对系统进行干扰,使得系统的运动规律紊乱。利用函数单向S-粗集对偶(dual of function one direction singular rough sets),给出系统中■-生成规律的概念,给出■-生成规律的生成模型和对系统规律的识别。函数单向S-粗集对偶是识别系统中存在干扰规律,识别系统规律的一个新的理论与方法。
文摘P-集合(packet sets)是由内P-集合X■(internal packet set X■)与外P-集合XF(outer packet set XF)构成的集合对;或者,(X■,XF)是P-集合。P-集合具有动态特性。P-集合的动态特性来自对集合X的属性集合α给予部分属性补充和部分属性删除。利用P-集合的结构与动态特性,给出了F-记忆信息生成概念、F-记忆信息的度量与F-记忆信息的F-记忆圆概念,提出了F-记忆信息存在性定理、F-记忆信息恢复定理与F-记忆信息特性定理。利用这些结果,给出了F-记忆信息的应用。指出P-集合是研究动态信息系统的一个新的数学模型与数学方法。
文摘利用单向S-粗集(one direction singular rough sets)与它的动态特性,给出F-阶梯知识、F-阶梯度的概念。利用这些概念,提出F-阶梯知识分辩定理、最小F-阶梯知识挖掘-发现定理、最大F-阶梯知识挖掘-发现定理、知识发现依赖-筛选定理与F-阶梯知识内潜藏原理,给出F-阶梯知识挖掘-发现准则及应用。这些结果是单向S-粗集的新特性与单向S-粗集的动态特性的新应用。
基金the Natural Science Foundation of Shandong Province of China (Y2004A04)the Natural Science Foundation of Fujian Province of China (Z0511049).
文摘Using function one direction S-rough sets (function one direction singular rough sets), f-law and F- law and the concept of law distance and the concept of system law collided by F-law are given. Using these concepts, state characteristic presented by system law collided by F-law and recognition of these states characteristic and recognition criterion and applications are given. Function one direction S-rough sets is one of basic forms of function S-rough sets (function singular rough sets). Function one direction S-rough sets is importance theory and is a method in studying system law collision.
基金supported partly by the Natural Science Foundation of Fujian Province of China(2009J01293)the Natural Science Foundation of Shandong Province of China(Y2007H02).
文摘The concept of F-knowledge is presented by employing S-rough sets. By engrafting and penetrating between the F-knowledge generated by S-rough sets and the RSA algorithm, the security transmission and recognition of multi-agent F-knowledge are proposed, which includes the security transmission of multi-agent F-knowledge with positive direction secret key and the security transmission of multi-agent F-knowledge with reverse direction secret key. Finally, the recognition criterion and the applications of F-knowledge are presented. The security of F-knowledge is a new application research direction of S-rough sets in information systems.