Predicting Violence Rating Based on Pairwise Comparison

Pairwise Comparisons Rating Scale Paradox

This study demonstrates that incorrect data are entered into a pairwise comparisons matrix for processing into weights for the data collected by a rating scale. Unprocessed rating scale data lead to a paradox. A solution to it, based on normalization, is proposed. This is an essential correction for virtually all pairwise comparisons methods using rating scales. The illustration of the relative...

On inconsistency of a pairwise comparison matrix

Determination of weight vector by using a pairwise comparison matrix based on DEA and Shannon entropy

The relation between the analytic hierarchy process (AHP) and data envelopment analysis (DEA) is a topic of interest to researchers in this branch of applied mathematics. In this paper, we propose a linear programming model that generates a weight (priority) vector from a pairwise comparison matrix. In this method, which is referred to as the E-DEAHP method, we consider each row of the pairwise...

On a pairwise comparison-based consistent non-numerical ranking

We discuss a consistent model of pairwise comparison-based non-numerical ranking. An algorithm that enforces consistency for raw or partially organized ranking data is presented and its properties are analysed. The concept of testing subjective rankings is also discussed.

Methods of Tropical Optimization in Rating Alternatives Based on Pairwise Comparisons

We apply methods of tropical optimization to handle problems of rating alternatives on the basis of the log-Chebyshev approximation of pairwise comparison matrices. We derive a direct solution in a closed form, and investigate the obtained solution when it is not unique. Provided the approximation problem yields a set of score vectors, rather than a unique (up to a constant factor) one, the set...