Computers and Operations Research
Matrix analysis and applied linear algebra
Matrix analysis and applied linear algebra
Linear programming models for estimating weights in the analytic hierarchy process
Computers and Operations Research
Modifying inconsistent comparison matrix in analytic hierarchy process: A heuristic approach
Decision Support Systems
An analytic hierarchy process for assessing externalities in water leakage management
Mathematical and Computer Modelling: An International Journal
Balancing consistency and expert judgment in AHP
Mathematical and Computer Modelling: An International Journal
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AHP (analytic hierarchy process) is used to construct coherent aggregate results from preference data provided by decision makers. Pairwise comparison, used by AHP, shares a common weakness with other input formats used to represent user preferences, namely, that the input mode is static. In other words, users must provide all the preference data at the same time, and the criteria must be completely defined from the start. To overcome this weakness, we propose a framework that allows users to provide partial and/or incomplete preference data at multiple times. Since this is a complicated issue, we specifically focus on a particular aspect as a first attempt within this framework. For that reason, we re-examine a mechanism to achieve consistency in AHP, i.e. a linearization process, which provides consistency when adding a new element to the decision process or when withdrawing an obsolete criterion under the dynamic input mode assumption. An algorithm is developed to determine the new priority vector from the users' new input. Finally, we apply the new process to a problem of interest in the water field, specifically, the adoption of a suitable leak control policy in urban water supply.