Research and Progress of Cluster Algorithms based on Granular Computing

Shifei Ding, Li Xu, Hong Zhu, Liwen Zhang
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引用次数: 32

Abstract

Granular Computing (GrC), a knowledge-oriented computing which covers the theory of fuzzy information granularity, rough set theory, the theory of quotient space and interval computing etc, is a way of dealing with incomplete, unreliable, uncertain fuzzy knowledge. In recent years, it is becoming one of the main study streams in Artificial Intelligence (AI). With selecting the size structure flexibly, eliminating the incompatibility between clustering results and priori knowledge, completing the clustering task effectively, cluster analysis based on GrC attracts great interest from domestic and foreign scholars. In this paper, starting from the development of GrC, firstly, the main newly achievements about clustering and GrC are researched and summarized. Secondly, principle of granularity in clustering, the effective clustering algorithms with the idea of granularity as well as their merits and faults are analyzed and evaluated from the point view of rough set, fuzzy sets and quotient space theories. Finally, the feasibility and effectiveness of handling high-dimensional complex massive data with combination of these theories is outlooked.
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基于颗粒计算的聚类算法研究与进展
颗粒计算(GrC)是一种面向知识的计算方法,它涵盖了模糊信息粒度理论、粗糙集理论、商空间理论和区间计算等,是一种处理不完全、不可靠、不确定模糊知识的方法。近年来,它正在成为人工智能(AI)的主要研究方向之一。基于GrC的聚类分析以其灵活选择大小结构、消除聚类结果与先验知识的不兼容、有效完成聚类任务等优点,受到国内外学者的极大关注。本文从GrC的发展出发,首先对聚类和GrC的主要新成果进行了研究和总结。其次,分析了聚类中的粒度原理,从粗糙集、模糊集和商空间理论的角度分析和评价了采用粒度思想的有效聚类算法及其优缺点;最后,展望了结合这些理论处理高维复杂海量数据的可行性和有效性。
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