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1·The results showed why the right principal eigenvector of a judgement matrix can be regarded as the priority vector. Consistency test to a judgement matrix is also discussed.

指出了用判断矩阵的右特征向量作为排序向量的理由，并且还讨论了判断矩阵的一致性检验问题。

2·We proved that each square quaternion matrix has at least one right characteristic principal value and its eigenvector, and a concrete solution was given.

证明了对每一个四元数矩阵，至少存在一个右特征主值，存在一个属于它的特征向量，并给出了具体的求解方法。

3·It presents principal component analysis on image based on neighborhood unions of per-pixel to obtain the eigenvector of per-pixel, then USES PCNN to set on fire to segment image with feature image.

通过对图像在每个像素的邻域的基础上进行主分量分析，产生每个图像像素的特征向量，再用PCNN对得到的特征图像进行点火分割。