3 papers
math.CO2025
Exact bounds for efficient consistent matrices obtained from a reciprocal matrix
Susana Furtado, Charles Johnson
For a given reciprocal matrix A, we give a union of matrix intervals in which any consistent matrix obtained from an efficient vector for A lies, and, conversely, any consistent ma…
math.CO2025
Completions of pairwise comparison data that minimize the triad measure of inconsistency
Susana Furtado, Charles Johnson
We consider incomplete pairwise comparison matrices and determine exactly when they have a consistent completion and, if not, when they have a nearly consistent completion. We use…
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…