三元背景及概念三元格的简化

发布时间：2018-06-07 14:38

  本文选题：三元概念分析 + 三元背景　； 参考：《计算机科学》2017年09期

【摘要】：三元概念分析是对形式概念分析理论的扩展,三元背景作为其数据基础在实际生活中普遍存在。三元背景所反映的三元关系是形成概念三元格的基础,它比形式概念分析中的二元关系更复杂,因而在此基础上形成的三元概念以及概念三元格就更为复杂。对此,提出一种三元背景和概念三元格的信息简化方法,该方法将三元关系拆解为最本质的二元关系,并在保证所有二元关系不变的基础上,同时考虑三元背景的3个论域,删减其中不必要的元素,以减少数据量,简化三元背景和概念三元格的表达方式。进而,得到简化后概念三元格的一些性质以及简化前后三元概念的关系等理论结果,为进一步的算法研究与应用以及更深入的理论分析工作奠定基础。
[Abstract]:The three element concept analysis is an extension of the theory of formal concept analysis. The three yuan background is common in real life as its data base. The three yuan relationship reflected by the three yuan background is the basis for the formation of the concept three element lattice. It is more complex than the two yuan relationship in the formal concept analysis, and the concept and concept of the three yuan formed on this basis are based on the concept and concept. The three element lattice is more complex. A method of information simplification of the three element background and the concept three element lattice is proposed. The method dissolves the three element relationship into the most essential two element relation, and on the basis of ensuring that all the two yuan relations are unchanged, and the 3 domains of the three Yuan background are considered, and the unnecessary elements are deleted to reduce the amount of data and simplify the simplification. The three element background and the concept of the concept of the three element lattice, and then get some properties of the simplified concept three lattice and the relationship between the simplified concept of three yuan and so on, which lays the foundation for the further research and application of the algorithm and the more in-depth theoretical analysis.
【作者单位】： 西安电子科技大学计算机学院;西北大学数学学院;
【基金】：国家自然科学基金项目(11371014,11071281) 陕西省自然科学基础研究计划资助项目(2014JM8306)资助
【分类号】：O153.1
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本文编号：1991533