Journal of Mathematical and Fundamental Sciences
Vol. 41 No. 2 (2009)

On Eigenvalues and Eigenvectors of Perturbed Pairwise Comparison Matrices

Pudji Astuti (1Algebra Research Group, FMIPA ITB, Indonesia)
Agah D. Garnadi (2Scientific Computing Research Group, Dept. Mathematics, FMIPA IPB, Indonesia)

Article Info

Publish Date
21 Jul 2013

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.

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Journal Info
Journal of Mathematical and Fundamental Sciences
Website

Abbrev

jmfs

Publisher

Institut Teknologi Bandung

Subject

Astronomy Chemistry Earth & Planetary Sciences Mathematics Physics

Description

Journal of Mathematical and Fundamental Sciences welcomes full research articles in the area of Mathematics and Natural Sciences from the following subject areas: Astronomy, Chemistry, Earth Sciences (Geodesy, Geology, Geophysics, Oceanography, Meteorology), Life Sciences (Agriculture, Biochemistry, ...