On Eigenvalues and Eigenvectors of Perturbed Pairwise Comparison Matrices

Main Authors: Astuti, Pudji; 1Algebra Research Group, FMIPA ITB, Indonesia, Garnadi, Agah D.; 2Scientific Computing Research Group, Dept. Mathematics, FMIPA IPB, Indonesia
Format: Article info application/pdf eJournal
Bahasa: eng
Terbitan: ITB Journal Publisher, LPPM ITB , 2013
Subjects:
Online Access: http://journals.itb.ac.id/index.php/jmfs/article/view/47
http://journals.itb.ac.id/index.php/jmfs/article/view/47/43
Daftar Isi:
  • This work studied eigenvalues and eigenvectors of a class of perturbed pairwise comparison matrices (PCMs). This type of matrices arises from Analytical Hierarchical Process with inconsistency comparison. By employing some nice structures of the PCMs, we show that the object dimension of size n ≥ 3 can be reduced into a case of size 3, hence simplify the studies.