Papers
Priority as dominance in derived measurement: Invariance of the principal eigenvector
Author(s)Mujgan Sagir Ozdemir
Joseph M. Katz Graduate School of Business
University of Pittsburgh
United States
Thomas Saaty
Joseph M. Katz Graduate School of Business
University of Pittsburgh
United States
Publication date: Jan, 2003
Vol.: 2- Issue: 2- Pages: 185-195Abstract: Ranking is a process of prioritization. Priorities, as measurement rather than pure guessing, can be derived from paired comparison judgments that generalize on ratios of actual measurements. Paired comparisons involve the selection of the smaller of the two objects being compared as the unit and estimating how many multiples of that unit the larger object is with respect to an attribute they share. In this paper, it is shown how priorities are derived as the principal right eigenvector of a pairwise comparison matrix and several examples are given to illustrate how the process works.
Keywords: Measurement, Priorities, Pairwise comparison, Eigenvector