摘要
本文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。再通过微分同胚,把原来的非线性逼近转化成一个线性逼近,用投影定理予以解决。并用一个例子说明该方法的简易可行。
The existence of a best approximation of the pairwise comparison matrix from the set of consistent matrices is proved.At the same time,this paper also proves that there are many excellent approximations.Then,by diffeomorphism,the primary nonlinear approximation is transformed into a linear one.Since an approximate method is used,the best approximation is obtained.Finally,a simple example is given.
出处
《北京航空航天大学学报》
EI
CAS
CSCD
北大核心
1989年第3期33-38,共6页
Journal of Beijing University of Aeronautics and Astronautics
关键词
比较矩阵
逼近
投影定理
comparison matrix,consistent matrix,best approximation,diffeomOrphism,projection theorem.
