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Problemas de gran tamaño en el Proceso Analítico Jerárquico


  • Escobar Urmeneta, María Teresa

    (Departamento de Métodos Estadísticos. Facultad de Económicas. Universidad de Zaragoza.)

  • Moreno Jiménez, José María

    (Departamento de Métodos Estadísticos. Facultad de Económicas. Universidad de Zaragoza.)


La riqueza que presenta la utilización de medidas relativas en el Proceso Analítico Jerárquico (AHP) lleva asociada una limitación en cuanto al tamaño del problema considerado, esto es, al número de alternativas o elementos comparados (Miller, 1956). Este inconveniente hace necesario la búsqueda de procedimientos que permitan garantizar las ventajas de las medidas relativas en problemas de gran tamaño. En este sentido, se proponen dos nuevos procedimientos, basados en la composición de conglomerados, que permiten obtener las prioridades de un conjunto grande de alternativas utilizando medidas relativas. Para ambos métodos se ha obtenido una medida de la inconsistencia utilizando una idea similar a la seguida por Harker para matrices incompletas. Concluye el trabajo comparando los dos procedimientos propuestos en un caso simpllificado del Plan Nacional de Regadíos. The power which presents the utilisation of relative measures in the Analytic Hierachy Process (AHP) carries a limitation in the size of the problem considered, that is, in the number of alternatives or elements compared (Miller, 1956). This drawback makes it necessary to serarch for new procedures which allow one to assure the advantages of relatives measures when comparing a large number of alternatives. In this sense, we propose two new methods based on the composition of conglomerates, which allow one to obtain the priorities of a large set of alternatives using relative measures. For both methods, a consistency measure has been obtained based on a similar idea to that used by Harker for incompleta matrices. The paper ends by comparing the two procedures proposed in a simplified case of the Spanish Irrigation Plan.

Suggested Citation

  • Escobar Urmeneta, María Teresa & Moreno Jiménez, José María, 1997. "Problemas de gran tamaño en el Proceso Analítico Jerárquico," Estudios de Economía Aplicada, Estudios de Economía Aplicada, vol. 8, pages 25-40, Diciembre.
  • Handle: RePEc:lrk:eeaart:8_3_2

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    References listed on IDEAS

    1. Thomas L. Saaty, 1986. "Axiomatic Foundation of the Analytic Hierarchy Process," Management Science, INFORMS, vol. 32(7), pages 841-855, July.
    2. Forman, Ernest H., 1990. "Random indices for incomplete pairwise comparison matrices," European Journal of Operational Research, Elsevier, vol. 48(1), pages 153-155, September.
    3. Kuenz Murphy, Catherine, 1993. "Limits on the analytic hierarchy process from its consistency index," European Journal of Operational Research, Elsevier, vol. 65(1), pages 138-139, February.
    4. Takeda, Eiji & Yu, Po-Lung, 1995. "Assessing priority weights from subsets of pairwise comparisons in multiple criteria optimization problems," European Journal of Operational Research, Elsevier, vol. 86(2), pages 315-331, October.
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    More about this item


    Analytic Hierarchy Process; Absolute Measures; Relative Measures; Conglomerates; Homegeneity; Incomplete Matrices;

    JEL classification:

    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General


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