1 research outputs found
On the Properties of the Priority Deriving Procedure in the Pairwise Comparisons Method
The pairwise comparisons method is a convenient tool used when the relative
order of preferences among different concepts (alternatives) needs to be
determined. There are several popular implementations of this method, including
the Eigenvector Method, the Least Squares Method, the Chi Squares Method and
others. Each of the above methods comes with one or more inconsistency indices
that help to decide whether the consistency of input guarantees obtaining a
reliable output, thus taking the optimal decision. This article explores the
relationship between inconsistency of input and discrepancy of output. A global
ranking discrepancy describes to what extent the obtained results correspond to
the single expert's assessments. On the basis of the inconsistency and
discrepancy indices, two properties of the weight deriving procedure are
formulated. These properties are proven for Eigenvector Method and Koczkodaj's
Inconsistency Index. Several estimates using Koczkodaj's Inconsistency Index
for a principal eigenvalue, Saaty's inconsistency index and the Condition of
Order Preservation are also provided.Comment: 11 page