A cluster validity index for FCM-type co-clustering
A cluster validity index for FCM-type co-clustering
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DOI：
10.1109/fuzz-ieee.2013.6622386
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发表时间：
2013-07
期刊：
影响因子：
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通讯作者：
Mai Muranishi;Katsuhiro Honda;A. Notsu;H. Ichihashi
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文献类型：
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作者：
Mai Muranishi;Katsuhiro Honda;A. Notsu;H. Ichihashi
聚类有效性是FCM聚类应用中的一个重要问题，人们提出了许多有效性指标来选择最优模糊划分。在大多数FCM类型的聚类有效性指标中，通过考虑划分质量和几何特征来评估聚类的数量。隶属度的质量是通过重叠度或边界不确定性来评价的，而几何质量是通过集群紧凑性或集群分离来衡量的。本文提出了一种新的模糊协同聚类的FCM型聚类验证方法。由于模糊联合聚类不使用原型来提取对象-项目的对偶类，因此在不使用类原型之间距离的情况下，构造了一种新的类分离概念。新的有效性指标的适用性证明在几个数值实验，包括一个文件聚类应用。
Cluster validation is an important issue in FCM-type clustering applications and many validity indices have been proposed for selecting the optimal fuzzy partition. In most of FCM-type cluster validity indices, the number of clusters is evaluated by considering the partition quality and geometrical features. The quality of memberships was evaluated by the degree of overlapping or the boundary uncertainty, while the geometrical quality was measured by cluster compactness or cluster separation. In this paper, a new approach for FCM-type cluster validation in fuzzy co-clustering is proposed. Because fuzzy co-clustering extracts object-item dual clusters without using prototypes, a new concept of cluster separation is constructed without using the distances between cluster prototypes. The applicability of the new validity index is demonstrated in several numerical experiments including a document clustering application.