Neighborhood systems-based rough sets in incomplete information system
Neighborhood systems-based rough sets in incomplete information system
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DOI：
10.1016/j.knosys.2011.03.007
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发表时间：
2011-08
期刊：
影响因子：
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通讯作者：
Xibei Yang;Ming Zhang;Huili Dou;Jing-yu Yang
中科院分区：
文献类型：
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作者：
Xibei Yang;Ming Zhang;Huili Dou;Jing-yu Yang
邻域系统形式化了古代直觉、无穷小，从而导致了微积分、拓扑和非标准分析的发明。本文从知识工程的角度对邻域系统进行研究，将每个邻域视为一个具有知识的基本单元。通过在邻域系统中使用这些知识，讨论了粗略近似和相应的性质。结果表明，在不完全信息系统中，基于邻域系统的粗糙集可以获得比[Y.梁德义Li，不完整信息系统中规则获取的最大一致块技术，信息科学 115 (2003) 85–106] 和 [Y.梁W.Z.吴文X.张，不完整信息系统中的知识获取：粗集方法，欧洲运筹学杂志 168 (2006) 164–180]。此外，在邻域系统中讨论了一种新的知识操作，可以从初始邻域系统中推导出更多的知识。通过这样的操作，下近似区域和上近似区域分别被进一步扩大和缩小。采用一些数值例子来证实概念论证。
Neighborhood system formalized the ancient intuition, infinitesimals, which led to the invention of calculus, topology and non-standard analysis. In this paper, the neighborhood system is researched from the view point of knowledge engineering and then each neighborhood is considered as a basic unit with knowledge. By using these knowledge in neighborhood system, the rough approximations and the corresponding properties are discussed. It is shown that in the incomplete information system, the smaller upper approximations can be obtained by neighborhood system based rough sets than by the methods in [Y. Leung, D.Y. Li, Maximal consistent block technique for rule acquisition in incomplete information systems, Information Sciences 115 (2003) 85–106] and [Y. Leung, W.Z. Wu, W.X. Zhang, Knowledge acquisition in incomplete information systems: a rough set approach, European Journal of Operational Research 168 (2006) 164–180]. Furthermore, a new knowledge operation is discussed in the neighborhood system, from which more knowledge can be derived from the initial neighborhood system. By such operations, the regions of lower and upper approximations are further expanded and narrowed, respectively. Some numerical examples are employed to substantiate the conceptual arguments.