半P-集合(X~■,X)与信息的内-真度环特征  

Half P-sets(X~■,X) and Internal-truth Degree Ring Characteristics of Information

作　　者：李豫颖[1,2] 史开泉[2] 

机构地区：[1]宁德师范学院计算机与信息工程系,宁德352100 [2]山东大学数学与系统科学学院,济南250100

出　　处：《计算机科学》2011年第4期239-243,248,共6页Computer Science

基　　金：福建省自然科学基金(2009J01294);山东省自然科学基金(Y2007H02);宁德师范学院科研重点项目(2008J002)资助

摘　　要：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(内P-集合具有内-动态特性,外P-集合具有外-动态特性)。P-集合在动态信息系统的多个领域中获得了应用。在一类信息系统中,这类信息系统只具有内-动态特性,不具有外-动态特性。为了研究这类只有内-动态特性的信息系统,改进并简化P-集合,提出了半P-集合(half packet sets)。半P-集合是由内P-集合X■与有限普通集合X构成的集合对,或者(X■,X)是半P-集合,半P-集合具有内-动态特性。以及半P-集合与有限普通集合的关系,以及半P-集合与P-集合的关系。利用半P-集合给出信息内-真度与信息内-真度环的概念、信息内-真度环定理以及内-信息恢复-还原的内-真度准则与内-信息恢复-还原的特征系数准则。利用这些结果,给出内-真度环在内-信息恢复-还原中的应用。半P-集合是研究一类动态信息系统的一个新的数学方法与数学模型;半P-集合在一类信息系统应用中前景看好。P-sets（Packet sets） is a set pair（X■,XF） composed of internal P-set X■（internal packet set X■） and outer P-set XF（outer packet set XF）,or（X■,XF） is P-sets.P-sets has dynamic characteristics（X■ has internal dynamic characteristic and XF has outer dynamic characteristic）.P-sets has been applied in many fields of dynamic information systems.There is a class of information system which has internal dynamic characteristic but has not outer dynamic characteristic.To study the class of information system,Half P-sets（half packet sets） was proposed by improving and simplifying P-sets in this paper.Half P-sets is a set pair composed of internal P-set X■ and finite general set X,or（X■,X） is Half P-sets.Half P-sets has internal dynamic characteristic.This paper gave the relation between Half P-sets and finite general set,the relation between Half P-sets and P-sets.By using Half P-sets,the concepts on information internal-truth degree and information internal-truth degree ring were given.Moreover,the information internal-truth degree ring theorems,the criterion of internal-truth degree and the criterion characteristic coefficient about internal-information recovery-reduction.Finally,the application of internal-truth degree ring about internal-information recovery-reduction was provided by employing these results.Half P-sets is a new mathematical method and mathematical model for researching the class of dynamic information system.Half P-sets has good application foreground in the class of dynamic information system.

关 键 词：半P-集合 信息内-真度 信息内-真度环 内-真度环定理 信息发现 应用 

分 类 号：TP242[自动化与计算机技术—检测技术与自动化装置] O144[自动化与计算机技术—控制科学与工程]