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Un problema de consenso para problemas de toma de decisiones multicriterio en grupo mediante relaciones de preferencia intervalares difusas lingüísticas || A Consensus Model for Group Multicriteria Decision Making Problems with Interval Fuzzy Preference Relations

Author

Listed:
  • Tapia García, Juan Miguel

    (Departamento de Métodos Cuantitativos para la Economía y la Empresa. Universidad de Granada)

  • Del Moral Ávila, María José

    (Departamento de Estadística e Investigación Operativa. Universidad de Granada)

  • Tapia García, Cristóbal

    (Departamento de Electrónica, Automática e Informática Industrial. Universidad Politécnica de Madrid)

  • Martínez, María de los Ángeles

    (Grupo SECABA)

  • Amor Pulido, Raúl

    (Departamento de Métodos Cuantitativos para la Economía y la Empresa. Universidad de Granada)

Abstract

En el contexto de toma de decisiones multicriterio y bajo ciertas circunstancias, puede ocurrir que no se pueda expresar una cierta valoración mediante una única etiqueta lingüística, ya que puede haber duda en esa valoración. En este trabajo, presentamos un modelo de consenso para problemas de toma de decisiones en grupo con relaciones de preferencia intervalares lingüísticas. Este modelo está basado en dos criterios de consenso, una medida de consenso y una de proximidad, y en el concepto de coincidencia entre preferencias. Calcularemos ambos criterios en los tres niveles de representación de una relación de preferencia y diseñaremos un mecanismo de realimentación automático para guiar a los expertos en el proceso para alcanzar el consenso. || In some circumstances a decision maker, expert, in a group decision making problem cannot express his/her preferences with a unique linguistic fuzzy preference because he/she is dubious into some preferences. In this paper, we present a consensus model for group decision making problems with interval fuzzy preference relations. This model is based on two consensus criteria, a consensus measure and a proximity measure, and on the concept of co- incidence among preferences. We compute both consensus criteria in the three representation levels of a preference relation and design an automatic feedback mechanism to guide experts in the consensus reaching process.

Suggested Citation

  • Tapia García, Juan Miguel & Del Moral Ávila, María José & Tapia García, Cristóbal & Martínez, María de los Ángeles & Amor Pulido, Raúl, 2012. "Un problema de consenso para problemas de toma de decisiones multicriterio en grupo mediante relaciones de preferencia intervalares difusas lingüísticas || A Consensus Model for Group Multicriteria De," Revista de Métodos Cuantitativos para la Economía y la Empresa = Journal of Quantitative Methods for Economics and Business Administration, Universidad Pablo de Olavide, Department of Quantitative Methods for Economics and Business Administration, vol. 14(1), pages 36-53, December.
    • Handle: RePEc:pab:rmcpee:v:14:y:2012:i:1:p:36-53
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    References listed on IDEAS

    as
    1. Zeshui Xu, 2005. "An Approach To Group Decision Making Based On Incomplete Linguistic Preference Relations," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 4(01), pages 153-160.
    2. Kacprzyk, Janusz & Fedrizzi, Mario, 1988. "A `soft' measure of consensus in the setting of partial (fuzzy) preferences," European Journal of Operational Research, Elsevier, vol. 34(3), pages 316-325, March.
    3. Xu, Zeshui, 2005. "Deviation measures of linguistic preference relations in group decision making," Omega, Elsevier, vol. 33(3), pages 249-254, June.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    toma de decisiones multicriterio; consenso; relaciones de preferencia intervalares lingüísticas; group multicriteria decision making; consensus; linguistic interval fuzzy preference relations;
    All these keywords.

    JEL classification:

    • C19 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Other
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C69 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Other

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