【摘要】 本文首先证明了成对比较矩阵在相容性矩阵集合中的最佳逼近的存在性和不唯一性。然后通过微分同胚,把原来的非线性逼近转化成一个线性逼近,从而用投影定理获得解决。算例证明该方法简易可行。更多还原

【Abstract】 The existence of a best approximation to the pairwise comparison matrix from the set of consistent matrices is proved. At the same time, we can also prove that there are many best approximations. The transformation from the original non-linear approximation into a linear one by using diffeomorphism is proposed. Finally a method of best approximation is obtained, and a simple example is given.更多还原