Establishing a small-scale center of excellence in cluster analysis by soft computing methodology

本项目的目的是促进模糊聚类方法和相关算法的研究，从而建立一个在该领域研究人员中知名的小规模“卓越中心”。为了实现这一目标，我们做了两项工作：一是研究模糊和相关聚类算法的各个方面的应用；另一个目标是让我们的研究成果为全世界所知。具体而言，我们针对前一个目的做了以下的研究：(1)研究具有非线性聚类边界的清晰和模糊聚类算法；(2)开发聚类学习算法并与清晰/模糊聚类算法结合；(3)核方法；聚类算法的基本原理及其在聚类算法中的应用(4)聚类算法与多变量分析方法的结合(5)在数据挖掘中的应用(6)在信息和图像检索中的应用(7)在可能性聚类中的算法…更多内容(8)具有容差数据的聚类算法(9)高维空间中聚类的可视化（10）聚类有效性函数的概括及其在不同评价中的应用为了推广我们的结果，我们组织了许多特别会议：(1)我们在FUZZ-IEEE2004、2005和2006年组织了聚类的特别会议；在2006年的FUZZ-IEEE2006会议上，我们收集了18篇论文，其中包括我们自己的论文，在3个会议上与普通会议相当。(2)在KES， NOLTA， SCIS， MDAI等国际会议上组织了专题会议，并收集了许多来自我们小组和世界各地的论文；(3)在2004年，2005年和2006年日本模糊系统研讨会上，我们组织了集群专题会议。在这些会议上介绍了日本聚集性研究的主要部分。(4)我们已经准备了一篇关于集群的专著手稿，并与施普林格签订了合同。我们将在明年出版这本书。最后，撰写了研究报告，收集了我们三年来的主要研究成果。少

The aim of this project is to promote researches in methods of fuzzy clustering and related algorithms, whereby establishing a small scale 'center of excellence' which is known among researchers of this field of study in the world. To attain this goal, two activities have been done : one is to study various aspects of fuzzy and related clustering algorithms with applications ; the other is to make our studies known throughout the world. Concretely, we have done the next investigations for the former purpose :(1) investigations of crisp and fuzzy clustering algorithms with nonlinear cluster boundaries,(2) development of learning algorithms for clustering and combination with crisp/fuzzy clustering algorithms(3) the kernel method : its fundamentals and applications to clustering algorithms(4) combination between a clustering algorithms and methods in multivariate analysis(5) applications to data mining(6) applications to information and image retrieval(7) algorithms in possibilistic clus … More tering(8) clustering algorithms for data with tolerance(9) visualization of clusters in high-dimensional spaces(10) generalizations of validity functions for clusters and application to evaluation of different clustering algorithmsFor the second goal to spread our results, we have organized many special sessions :(1) we have organized special sessions of clustering in FUZZ-IEEE2004, 2005, and 2006 ; in FUZZ-IEEE2006, we have collected 18 papers including our own papers in 3 sessions that are comparable with ordinary sessions.(2) We have organized special sessions in a number of other international conferences : KES, NOLTA, SCIS, MDAI and collected many papers not only those from our groups but from throughout the world,(3) In Fuzzy System Symposium 2004, 2005, and 2006 in Japan, we have organized special sessions in clustering. A major part of studies in clustering in Japan have been presented in these sessions.(4) We have prepared a manuscript for a monograph in clustering and made a contract with Springer. We will publish this book in next year.Finally, the research report was made that collects major part of our studies in the three years. Less