The MinMax Fuzzy C-Means

Yoosof Mashayekhi, Ehsan Nazerfard, Arman Rahbar, Samira Sirzadeh Haji Mahmood
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Abstract

Fuzzy c-means (FCM) is one of the most popular fuzzy clustering methods and it is used in various applications in computer science. Most clustering methods including FCM, suffer from bad initialization problem. If initial cluster centers (membership degree initialization in FCM) are not selected appropriately, it may yield poor results. In this paper we propose a method called MinMax FCM to overcome this problem. A new objective function is designed in MinMax FCM to this aim. We use maximum variance of clusters as objective function. In this regard, high-variance clusters are penalized. We compare MinMax FCM with FCM in terms of sum of clusters’ variances, maximum variance of clusters, and execution time using a number of UCI datasets.
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最小模糊c均值
模糊c均值(FCM)是最流行的模糊聚类方法之一,在计算机科学中有着广泛的应用。包括FCM在内的大多数聚类方法都存在初始化不良的问题。如果初始聚类中心(FCM中的隶属度初始化)选择不合适,可能会产生较差的结果。在本文中,我们提出了一种称为MinMax FCM的方法来克服这个问题。为此,在最小最大FCM中设计了一个新的目标函数。我们使用聚类的最大方差作为目标函数。在这方面,高方差集群是不利的。我们比较了MinMax FCM和FCM在集群方差总和、集群最大方差和使用一些UCI数据集的执行时间方面的差异。
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