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Correlation coefficient of hesitant fuzzy sets

机译:犹豫不决模糊套的相关系数

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摘要

In this paper, we propose a variety of correlation coefficient measures for hesitant fuzzy sets (HFSs) and investigate their properties. Then, we define the concepts of correlation relation matrix, composition matrix and equivalent correlation relation matrix in the frame of HFSs. Furthermore, we propose a clustering method for HFSs. The method utilizes the correlation coefficient of HFSs to construct a correlation relation matrix, and utilizes an algorithm to transform it into an equivalent correlation relation matrix. The τ-cutting matrix of the equivalent correlation relation matrix is utilized to cluster the given HFSs. Finally, we utilize some pattern recognition numerical examples to validate a variety of correlation coefficient measures and the clustering method proposed in this paper.
机译:在本文中,我们提出了各种相关系数措施,可用于犹豫不决的模糊套(HFS)并调查它们的性质。然后,我们在HFSS帧中定义相关关系矩阵,组合矩阵和等效相关关系矩阵的相关概念。此外,我们为HFSS提出了一种聚类方法。该方法利用HFS的相关系数来构造相关关系矩阵,并利用算法将其转换为等效的相关关系矩阵。使用等效相关关系矩阵的τ切割矩阵用于聚类给定的HFSS。最后,我们利用一些模式识别的数值例子来验证本文提出的各种相关系数措施和聚类方法。

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