An approach to AHP decision in a dynamic context

• Published in: Decision Support Systems Vol. 53; no. 3; pp. 499 - 506
• Main Authors: Benítez, J., Delgado-Galván, X., Izquierdo, J., Pérez-García, R.
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 01.06.2012; Elsevier; Elsevier Sequoia S.A
• Subjects: Algorithms; Analytic hierarchy process; Applied sciences; Consistency; Criteria; Decision theory. Utility theory; Dynamic decision-making; Dynamics; Exact sciences and technology; Format; Hierarchies; Leakage control; Multiple criteria decision making; Operational research and scientific management; Operational research. Management science; Policies; Preferences; Studies; Users; Water supplies; Water supply; Water supply systems; Water supply systems; Leakage control; Analytic hierarchy process; Dynamic decision-making; Policy; Paired comparison; Decision support system; Hierarchical classification; Decision making; Water supply; Priority; Leak; Urban area; Missing data; Preference; Incomplete information; User behavior; Linearization; Obsolescence
• ISSN: 0167-9236; 1873-5797
• DOI: 10.1016/j.dss.2012.04.015

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. ► Need of a dynamic, time-dependent input mode in AHP. ► Addition and withdrawal of elements within the current decision scheme. ► Modification of the decision scheme necessarily implies consistency enforcement. ► Achieving consistency after modifications based on the current consistency level. ► Decision-making in urban water supply: suitable control policy on water losses.