New light on the theorem of perron

Thomas Saaty
Joseph M. Katz Graduate School of Business
University of Pittsburgh
United States

Publication date: Oct, 1985

Journal: Trabajos de Estadistica Y de Investigacion Operativa
Vol.: 36- Issue: 3- Pages: 253-257

Abstract: We prove that the principal eigenvector of a positive matrix represents the relative dominance of its rows of ranking of alternatives in a decision represented by the rows of a pairwise comparison matrix.

Keywords: Consistency, Decision making, Dominance, Eigenvalue, Rank preservation