史开泉.P-集合与它的应用特征[J].计算机科学,2010,37(8):1-8
P-集合与它的应用特征
P-sets and its Applied Characteristics
  
DOI:
中文关键词:  P-集合,信息遗传,基数圆定理,信息状态辨识,信息图像的隐匿一潜藏,应用
英文关键词:P-sets, Information inheritance, Basic number circle theorem, Information state identification, Information image hidden-potential, Applications
基金项目:本文受山东省自然科学基金项目(Y2007G08)资助。
作者单位E-mail
史开泉 (山东大学数学与系统科学学院 济南250100) shikq@sdu.edu.cn 
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中文摘要:
      P-集合(packet sets)是由内P-集合XF(internal packet setsXF)与外P-集合XF(outer packet sets XF)构成的集合对,或者(XF ,XF)是P集合。P集合具有动态特性。利用产集合,给出信息遗传概念,给出信息遗传的度量,提出信息遗传定理。利用信息遗传特性,给出信息状态辫识的方法与应用,给出信息图像生成、信息图像隐匿一潜藏的应用。P-集合是研究动态信息系统的一个新的理论与方法。最后给出P-集合存在的事实,给出P-集合与Z. Pawlak粗集的区别。
英文摘要:
      P-sets are a set pair which are composed of internal P-sets XF and outer P-set sXl',or (XF,XF ) is P-sets. P-sets have dynamic characteristics. 13y using P-sets, the concept of Information Inheritance and Information Inheritance Metric,as well as Information Inheritance Theorems were given. Based on characteristic of Information Inheritance,method and application of information state identification were proposed. Information Image-generation, applications of Information Image hidden-potential were provided. P-sets arc new theory and method to study dynamic information system. Finally, the reality of P-sets was given,the differences of P-sets and Z. Pawlak rough sets were given.
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