A New Method for Knowledge Discovery of Complex Data Based on Structural Partial-Ordered Theory

Shaoxiong Li, Xiaolei Zhang, Wenxue Hong
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Abstract

In order to develop a new knowledge discovery method with higher generalization ability, this paper proposes the generalized model of partial-ordered structure diagrams. This model is based on two philosophical methodologies: the concept driven methodology and the data driven methodology. In essence, the concept driven methodology is top-down principle, that is, the attributes representing object universality are put at the top of the structural partial-ordered diagram. While the data driven methodology is bottom-up principle in which the attributes representing object specificity are put at the top of the diagram. The method is described by the mathematical partial order theory and formal concept analysis theory. Finally, three concrete data sets are used as examples to generate diagrams. The generated diagrams can clearly reveal the knowledge implied in the complex data. It is proven that the proposed generation theory and the model constructed with partial-ordered diagrams have a good ability of generalization, and they are original methods which can be used in different domains for knowledge discovery.
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基于结构偏序理论的复杂数据知识发现新方法
为了开发一种具有较高泛化能力的知识发现新方法,本文提出了部分有序结构图的泛化模型。该模型基于两种哲学方法:概念驱动的方法和数据驱动的方法。概念驱动方法本质上是自顶向下的原则,即把表示对象普遍性的属性放在结构部分有序图的顶部。而数据驱动的方法是自底向上的原则,其中表示对象特异性的属性放在图的顶部。该方法采用数学偏序理论和形式概念分析理论进行描述。最后,以三个具体的数据集为例进行了图的生成。生成的图可以清楚地揭示复杂数据中隐含的知识。实验证明,本文提出的生成理论和用偏序图构造的模型具有良好的泛化能力,是一种新颖的知识发现方法,可用于不同领域的知识发现。
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