Classifying visual objects with the consistency-driven pairwise comparisons method
Machine Graphics & Vision International Journal
A different perspective on a scale for pairwise comparisons
Transactions on computational collective intelligence I
Remarks on pairwise comparison numerical and non-numerical rankings
RSKT'11 Proceedings of the 6th international conference on Rough sets and knowledge technology
On optimal completion of incomplete pairwise comparison matrices
Mathematical and Computer Modelling: An International Journal
An LP-based inconsistency monitoring of pairwise comparison matrices
Mathematical and Computer Modelling: An International Journal
Machine Graphics & Vision International Journal - Special issue on Image Databases
Multimedia information retrieval based on pairwise comparison and its application to visual search
Multimedia Tools and Applications
| Hi-index | 0.00 |
The aim of the paper is to obtain some theoretical and numerical properties of Saaty's and Koczkodaj's inconsistencies of pairwise comparison matrices (PRM). In the case of 3 脳 3 PRM, a differentiable one-to-one correspondence is given between Saaty's inconsistency ratio and Koczkodaj's inconsistency index based on the elements of PRM. In order to make a comparison of Saaty's and Koczkodaj's inconsistencies for 4 脳 4 pairwise comparison matrices, the average value of the maximal eigenvalues of randomly generated n 脳 n PRM is formulated, the elements a ij (i j) of which were randomly chosen from the ratio scale $$\dfrac{1}{M}, \dfrac{1}{M-1}, \ldots , \dfrac{1}{2}, 1, 2, \ldots , M - 1, M,$$ with equal probability 1/(2M 驴 1) and a ji is defined as 1/a ij . By statistical analysis, the empirical distributions of the maximal eigenvalues of the PRM depending on the dimension number are obtained. As the dimension number increases, the shape of distributions gets similar to that of the normal ones. Finally, the inconsistency of asymmetry is dealt with, showing a different type of inconsistency.