English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

In this paper we have raised, discussed, and solved the problems relating the Vargas's verification of consistency test for 3 x 3 comparison matrices in the Analytic Hierarchy Process (AHP). In the AHP community, assessing attribute weights by using a consistency ratio of 0.1 or less has been widely practiced. Though Vargas did study the problem, the method he adopted might lead to certain questionable results. By trying to clarify such a critical situation, we pointed out the problems arose form the solutions of two inequality systems within the proof process of Vargas. We proved that the solution for the first system was an interval, not a point as he had indicated. After we solved the first inequality system, we found that the criterion for the solution interval of the first system would satisfy the second inequality system. We have then justified the inherent problem in Vargas's verification procedure.

ON VARGAS'S PROOF OF CONSISTENCY TEST FOR 3 × 3 COMPARISON MATRICES IN AHP