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一类饱和维信息子空间的若干数学性质
引用本文:吴强,李建平,黄宏斌,胡小荣,黄建华.一类饱和维信息子空间的若干数学性质[J].数学理论与应用,2010(2):75-80.
作者姓名:吴强  李建平  黄宏斌  胡小荣  黄建华
作者单位:[1]国防科技大学理学院,长沙410073 [2]国防科技大学信息系统与管理学院,长沙410073
摘    要:在信息获取科学的基础上,用区间灰数来描述信息维的取值域,运用饱和信息维的增减技术对信息获取子空间进行结构上的剖分,用区间灰数的运算来表述信息子空间的基本操作,并讨论了一类灰数下的信息含量,得到信息资源聚焦的一种新的聚焦子空间的形式化描述和有关数学运算性质。

关 键 词:信息子空间  信息量  饱和信息维  区间灰数

Several Mathematic Qualities of a Class of Saturated Dimension Information Subspace
Wu Qiang Li Jianping Huang Hongbin Hu Xiaorong Huang Jianhua.Several Mathematic Qualities of a Class of Saturated Dimension Information Subspace[J].Mathematical Theory and Applications,2010(2):75-80.
Authors:Wu Qiang Li Jianping Huang Hongbin Hu Xiaorong Huang Jianhua
Institution:Wu Qiang Li Jianping Huang Hongbin Hu Xiaorong Huang Jianhua (1. College of Science,National Univ. of Defense Technology, Changshn, 410073) (2. College of Information System and Management, National Univ. of Defense Technology, Changsha, 410073)
Abstract:Be based on information acquisition science, the interval grey data is used to describe the domain of informarion dimesion, and the increasing or decreasing technology of the saturated information dimesion are applied to decompose and analyse the structure of information acquisition subspace one, and the operation of interval grey date is used to describe basic manipulation of information subspace. Then,the paper discusses the amount of information of a type of grey data , and obtain a new information resource focusing method of formally describing focussing subspace and quality about mathematics.
Keywords:Information subspace Amount of information Saturated information dimension Interval grey data
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