基于粒计算的K-medoids聚类算法

传统K-medoids聚类算法的聚类结果随初始中心点不同而波动，且计算复杂度较高不适于处理大规模数据集；快速K-medoids聚类算法通过选择合适的初始聚类中心改进了传统K-medoids聚类算法，但是快速K-medoids聚类算法的初始聚类中心有可能位于同一类簇。为克服传统K-medoids聚类算法和快速K-medoids聚类算法的缺陷，提出一种基于粒计算的K-medoids聚类算法。算法引入粒度概念，定义新的样本相似度函数，基于等价关系产生粒子，根据粒子包含样本多少定义粒子密度，选择密度较大的前K个粒子的中心样本点作为K-medoids聚类算法的初始聚类中心，实现K-medoids聚类。UCI机器学习数据库数据集以及随机生成的人工模拟数据集实验测试，证明了基于粒计算的K-medoids聚类算法能得到更好的初始聚类中心，聚类准确率和聚类误差平方和优于传统K-medoids和快速K-medoids聚类算法，具有更稳定的聚类结果，且适用于大规模数据集。

New K-medoids clustering algorithm based on granular computing

Traditional K-medoids clustering algorithm has some drawbacks,such as its clustering results being sensitive to initial cluster centers and its deficiency in large datasets.Although the fast K-medoids algorithm overcame the shortcomings of traditional K-medoids,it has the potential disadvantages of selecting the exemplars in the same cluster as initial seeds for different clusters.To overcome the shortcomings of the traditional K-medoids and the fast K-medoids clustering algorithms,a granular computing based K-medoids clustering algorithm was proposed in this paper.The algorithm defined a new similarity function between samples via pooling granularity,where the granules were produced via the equivalence relationship.The density of a granule was defined according to the number of samples in it,after that the K samples closest to the centers of the first K granules were selected as the initial centers for K-medoids clustering algorithm to cluster datasets.The experimental results on the datasets from UCI machine learning repository and on the synthetic datasets all demonstrate that the new granular computing based K-medoids clustering algorithm can find much better initial centers.Its clustering accuracy and its clustering error are better than those of the traditional K-medoids and the fast K-medoids clustering algorithms.It can get much more stable results and can be applied to cluster large datasets.