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Fuzzy relational clustering around medoids: A unified view

机译：围绕类固醇的模糊关系聚类：统一视图

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摘要

Medoid-based fuzzy clustering generates clusters of objects based on relational data, which records pairwise similarities or dissimilarities among objects. Compared with single-medoid based approaches, our recently proposed fuzzy clustering with multiple-weighted medoids has shown superior performance in clustering via experimental study. In this paper, we present a new version of fuzzy relational clustering in this family called fuzzy clustering with multi-medoids (FMMdd). Based on the new objective function of FMMdd, update equations can be derived more conveniently. Moreover, a unified view of FMMdd and two existing fuzzy relational approaches fuzzy c-medoids (FCMdd) and assignment-prototype (A-P) can be established, which allows us to conduct further analytical study to investigate the effectiveness and feasibility of the proposed approach as well as the limitations of existing ones. The robustness of FMMdd is also investigated. Our theoretical and numerical studies show that the proposed approach produces good quality of clusters with rich cluster-based information and it is less sensitive to noise.
机译：基于类固醇的模糊聚类基于关系数据生成对象簇，该关系数据记录对象之间成对的相似性或不相似性。与基于单质体的方法相比，我们最近提出的具有多权重质体的模糊聚类通过实验研究在聚类中显示了优越的性能。在本文中，我们提出了这个家族中的模糊关系聚类的新版本，称为带有多中心的模糊聚类（FMMdd）。基于FMMdd的新目标函数，可以更方便地导出更新方程。此外，可以建立FMMdd的统一视图以及两个现有的模糊关系方法Fuzzy c-medoids（FCMdd）和分配原型（AP），这使我们可以进行进一步的分析研究，以研究该方法的有效性和可行性。以及现有限制。还研究了FMMdd的鲁棒性。我们的理论和数值研究表明，所提出的方法可以产生高质量的，具有丰富的基于聚类信息的聚类，并且对噪声不那么敏感。

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  • 来源
    《Fuzzy sets and systems》 |2011年第1期|p.44-56|共13页
  • 作者

    Jian-Ping Mei; Lihui Chen;

  • 作者单位

    Division of Information Engineering, School ofEEE, Nanyang Technological University, Singapore 639798, Republic of Singapore Received 8 July 2010, received in revised form 9 June 2011, accepted 11 June 2011 Available online 29 June 2011;

    Division of Information Engineering, School ofEEE, Nanyang Technological University, Singapore 639798, Republic of Singapore Received 8 July 2010, received in revised form 9 June 2011, accepted 11 June 2011 Available online 29 June 2011;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    fuzzy clustering; relational data; weighted medoids;

    机译：模糊聚类关系数据;加权类固醇;

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