Agah D. Garnadi
2Scientific Computing Research Group, Dept. Mathematics, FMIPA IPB, Indonesia

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On Eigenvalues and Eigenvectors of Perturbed Pairwise Comparison Matrices Pudji Astuti; Agah D. Garnadi
Journal of Mathematical and Fundamental Sciences Vol. 41 No. 2 (2009)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/itbj.sci.2009.41.2.1

Abstract

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 â‰¥ 3 can be reduced into a case of size 3, hence simplify the studies.