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Approach to Intuitionistic Fuzzy Clustering Based on Weighted Sample Sets

机译:基于加权样本集的直觉模糊聚类方法

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To improve performance of intuitionistic fuzzy clustering for large sample sets, the concepts of equivalent samples and weighted sample sets based on intuitionistic fuzzy sets is defined. Objective function of intuitionistic fuzzy C-means clustering algorithm is presented based on weighted sample sets. Iterative formulas of clustering centers and matrix of membership degrees are gotten by using Lagrange multiplier method. Initialization algorithm of clustering centers is given based on weighted sample sets to speed up the convergence rate. It is proved theoretically and experimentally that suitable value of parameter ξ used to defining equivalent samples not only generates almost equivalent clustering result with original set , but also improves performance of algorithm greatly.
机译:为了提高大样本集的直觉模糊聚类性能,定义了等效样本和基于直觉模糊集的加权样本集的概念。提出了基于加权样本集的直觉模糊C均值聚类算法的目标函数。利用拉格朗日乘数法得到了聚类中心的迭代公式和隶属度矩阵。提出了基于加权样本集的聚类中心初始化算法,以加快收敛速度​​。从理论和实验上证明,用于定义等效样本的参数ξ的合适值不仅产生了与原始集合几乎相等的聚类结果,而且极大地提高了算法的性能。

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