Abstract: The equivalence of the indicators, which are used in the assessment of the consistency of paired comparisons, is investigated. It is found for which matrix of paired comparisons the usage of various indicators of consistency leads to different results regarding the permissible inconsistency, and as a consequence, to different results regarding the necessity of this matrix correction. To illustrate how critical in practical applications such contradictory results on a variety of indicators are, the examples, in which the calculation of the weights of alternatives decisions on the basis of primary and adjusted matrix of paired comparisons leads to a variety of alternatives ranking, are considered. On the basis of the conducted research the method of estimating the consistency of paired comparisons is proposed.

Keywords: indicators of paired comparisons matrix consistency, weak consistency, the permissible inconsistency and method of consistency estimation

ACM Classification Keywords: H.4.2. INFORMATION SYSTEM APPLICATION: type of system strategy

Link:

THE METHOD OF ESTIMATING THE CONSISTENCY OF PAIRED COMPARISONS

Nataliya Pankratova, Nadezhda Nedashkovskaya

http://www.foibg.com/ijitk/ijitk-vol07/ijitk07-04-p05.pdf