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Dealing with Granularity on Non-Euclidean Relational Data Based on Indiscernibility Level

机译:根据难以辨证水平处理非欧几里德关系数据的粒度

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In this paper we present a novel clustering method that represents the hierarchy of data granularity using a dendrogram. Instead of using (dis-)similarity of objects, we use indiscernibility of objects as proximity. The indiscernibility represents the level of global agreement for classifying a pair of objects as indiscernible objects, and is calculated based on the binary classifications determined independently to each object. Then the simple nearest neighbor hierarchical clustering is used to construct a dendrogram of objects, which represents the hierarchy of indiscernibility. This scheme allows us to control the granularity of resultant object groups, by interactively selecting the threshold level of indiscernibility. The benefits of this method also include that the dissimilarity of objects for forming the binary classifications does not need to satisfy symmetry nor triangular inequality; thus it could be applied to various kind of datasets including relational data.
机译:在本文中,我们提出了一种新的聚类方法,该方法代表了使用树形图的数据粒度的层次结构。而不是使用对象的相似性,而不是使用对象的屏蔽性作为邻近度。 Inciscishibility表示将一对对象分类为难以清晰的对象的全局协议级别,并且基于与每个对象独立确定的二进制分类来计算。然后,简单的最近邻分层群集用于构造对象的树形图,它表示难以辨别的层次结构。该方案允许我们通过交互选择忽略性的阈值水平来控制所得对象组的粒度。该方法的益处还包括用于形成二进制分类的物体的不相似性不需要满足对称性和三角不平等;因此,它可以应用于包括关系数据的各种数据集。

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