P-集合与(-↑F,F)-数据生成-辨识 |
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引用本文: | 汤积华,;陈保会,;史开泉.P-集合与(-↑F,F)-数据生成-辨识[J].山东大学学报(自然科学版),2009(11):83-88. |
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作者姓名: | 汤积华 ;陈保会 ;史开泉 |
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作者单位: | [1]龙岩学院数学与计算机科学学院,福建龙岩364000; [2]山东大学数学学院,山东济南250100 |
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基金项目: | 基金项目:福建省自然科学基金资助项目(2009J011293);山东省自然科学基金资助项目(Y2007H02);福建省省属高校基金资助项目(F5042) |
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摘 要: | P-集合(packet sets)是一个集合对,它由内P-集合(internal packet sets)与外P-集合(outer packet sets)共同构成,P-集合具有动态特性。利用P-集合,给出数据集合,-↑F-数据集合,F-数据集合与(-↑F,F)-数据集合概念;提出-↑F-数据集定理,F-数据集定理,(-↑F,F)-数据带定理,数据集合恢复定理,(-↑F,F)-数据辨识定理,给出辨识准则。利用这些结果,给出(-↑F,F)-数据在信息系统中的应用。P-集合是研究动态信息系统的一个新理论与新方法。
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关 键 词: | P-集合 (-↑F F)-数据集合 F-数据定理 -↑F-数据定理 (-↑F F)-数据带 辨识定理 |
P-sets and(-↑F,F)-data generation-identification |
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Institution: | TANG Ji-hua , CHEN Bao-hui, SHI Kai-quan(1. School of Mathematics and Computer Sciences, Longyan University, Longyan 364000, Fujian, China; 2. School of Mathematics, Shandong University, Jinan 250100, Shandong, China) |
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Abstract: | P- sets which is composed of internal P-sets and outer P-sets, is a set pair and has dynamic characteristic. Based on P-sets, the concepts such as data set, -↑F-data set, F-data set and (-↑F, F)-data set, and then -↑F-data set theorem, F-data set theorem, (-↑F, F)-data band theorem, data set recovery theorem, (-↑F, F)-data identification theorem and identification criterion are proposed. By using those results, applications of (-↑F, F)-data in an information system are presented. P-sets is a new theory and a new method in the research of a dynamic information system. |
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Keywords: | P-sets (-↑F F)-data set F-data theorem -↑F-data theorem (-↑F F)-data band identification theorem |
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