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math.CO2024
Analysis of natural cardinal ranking vectors for pairwise comparisons and the universal efficiency of the Perron geometric mean
S. Furtado, C. R. Johnson
In models using pair-wise (ratio) comparisons among alternatives, a cardinal ranking vector should be deduced from a reciprocal matrix. The right Perron eigenvector (RP) was tradit…
math.CO2024
Efficiency of the convex hull of the columns of certain triple perturbed consistent matrices
Susana Furtado, Charles Johnson
In decision making a weight vector is often obtained from a reciprocal matrix A that gives pairwise comparisons among n alternatives. The weight vector should be chosen from among…
math.CO2024
Efficiency analysis for the Perron vector of a reciprocal matrix
Susana Furtado, Charles Johnson
In prioritization schemes, based on pairwise comparisons, such as the Analytical Hierarchy Process, it is necessary to extract a cardinal ranking vector from a reciprocal matrix th…