Discussion for Consistency Test in Analytic Hierarchy Process.

We aim to address an unresolved question raised in a previously published paper regarding the 1-9 bounded scale and consistency index. The objective of this study is to demonstrate that researchers need not be concerned about the inconsistency phenomenon highlighted in the aforementioned article. This paper has a four-fold purpose. Firstly, we illustrate that by employing an alternative ordering approach for the entries of a comparison matrix, the issue of inconsistency can be eliminated. Secondly, we emphasize that, by accepting Murphy's assumptions, we can present an efficient method for deriving the priority vector without relying on the comparison matrix. This reveals that Murphy's assumptions are excessively stringent for ordinary researchers to accept. Additionally, we offer a simplified version to establish the condition for the optimal solution in an inventory model with a temporary price discount, which was previously proposed in another published paper. Consequently, an additional condition put forth by the aforementioned paper becomes redundant. We have made revisions to a related paper discussing local stability intervals in the Analytic Hierarchy Process. [ABSTRACT FROM AUTHOR]