Fuzzy clustering of fuzzy systems
Fuzzy clustering of fuzzy systems
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DOI：
10.1109/icsmc.2004.1400683
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发表时间：
2004-10
期刊：
影响因子：
--
通讯作者：
P. Salgado;Paulo J. Garrido
中科院分区：
文献类型：
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作者：
P. Salgado;Paulo J. Garrido
一个模糊系统通过一组模糊规则表示的关系完全表征了输入-输出乘积空间S = U /spl times/ V的一个区域。有效地，模糊系统建立模糊映射，其为U中的每个输入模糊集分配V中的输出模糊集。可以通过关系的分解来进行该乘积空间的划分。模糊规则的模糊聚类，这里提出，以及聚类的数据，导致一个模糊划分的S空间。其结果是一组模糊子系统，一个为每个集群，将方便地连接在一个新的结构。本文提出了一种新的递归聚类算法，用于将模糊系统划分为层次协作结构。该递阶协同结构的全局响应与输入模糊系统一致。
A fuzzy system entirely characterizes one region of the input-output product space S = U /spl times/ V through a relation expressed by a set of fuzzy rules. Effectively, the fuzzy system establishes a fuzzy map, which assigns for each input fuzzy set in U an output fuzzy set in V. The partition of this product space may be made through the decomposition of the relation. The fuzzy clustering of fuzzy rules, here proposed, as well as clustering of data, leads to a fuzzy partition of the S space. The result is a set of fuzzy sub-systems, one for each cluster that will be conveniently linked in a new structure. This paper proposes a new recursive clustering algorithm for the partition of a fuzzy system into a hierarchical collaborative structure. The global response of the hierarchical collaborative structure is identical to the input fuzzy system.