8 papers
Comments on "Condensation of the digraph associated with a reciprocal matrix and a vector", arXiv:2607.10279
Susana Furtado, Charles Johnson
Since manuscript \cite{R}, recently posted on arXiv, is closely related to our previous work, we would like to clarify some facts about it. Namely, we would like to point out that…
Existence of reciprocal matrices with specified orders for the right and inverse left Perron eigenvectors
Susana Furtado, Charles Johnson
Here we give a procedure to construct a reciprocal matrix for which the right and entrywise inverse left Perron eigenvectors have any pair of given orders. An explicit example when…
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…
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…
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…
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…