Achieving matrix consistency in AHP through linearization
Matrices used in the analytic hierarchy process (AHP) compile expert knowledge as pair-wise comparisons among various criteria and alternatives in decision-making problems. Many items are usually considered in the same comparison process and so judgment is not completely consistent - and sometimes t...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2011 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/52706 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/52706 |
| Access Level: | acceso abierto |
| Palabra clave: | Analytic Hierarchy Process Decision-making Linearization Leakage management MATEMATICA APLICADA INGENIERIA HIDRAULICA |
| Sumario: | Matrices used in the analytic hierarchy process (AHP) compile expert knowledge as pair-wise comparisons among various criteria and alternatives in decision-making problems. Many items are usually considered in the same comparison process and so judgment is not completely consistent - and sometimes the level of consistency may be unacceptable. Different methods have been used in the literature to achieve consistency for an inconsistent matrix. In this paper we use a linearization technique that provides the closest consistent matrix to a given inconsistent matrix using orthogonal projection in a linear space. As a result, consistency can be achieved in a closed form. This is simpler and cheaper than for methods relying on optimisation, which are iterative by nature. We apply the process to a real-world decision-making problem in an important industrial context, namely, management of water supply systems regarding leakage policies - an aspect of water management to which great sums of money are devoted every year worldwide. (C) 2011 Elsevier Inc. All rights reserved. |
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