IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v58y2010i6p1755-1773.html
   My bibliography  Save this article

Consensus Building in AHP-Group Decision Making: A Bayesian Approach

Author

Listed:
  • Alfredo Altuzarra

    (Grupo Decisión Multicriterio Zaragoza, Universidad de Zaragoza, 50005 Zaragoza, Spain)

  • José María Moreno-Jiménez

    (Grupo Decisión Multicriterio Zaragoza, Universidad de Zaragoza, 50005 Zaragoza, Spain)

  • Manuel Salvador

    (Grupo Decisión Multicriterio Zaragoza, Universidad de Zaragoza, 50005 Zaragoza, Spain)

Abstract

This paper examines consensus building in AHP-group decision making from a Bayesian perspective. In accordance with the multicriteria procedural rationality paradigm , the methodology employed in this study permits the automatic identification, in a local context, of “agreement” and “disagreement” zones among the actors involved. This approach is based on the analysis of the pairwise comparison matrices provided by the actors themselves. In addition, the study integrates the attitudes of the actors implicated in the decision-making process and puts forward a number of semiautomatic initiatives for establishing consensus. This information is given to the actors as the first step in the negotiation processes. The knowledge obtained will be incorporated into the system via the learning process developed during the resolution of the problem. The proposed methodology, valid for the analysis of incomplete or imprecise pairwise comparison matrices, is illustrated by an example.

Suggested Citation

  • Alfredo Altuzarra & José María Moreno-Jiménez & Manuel Salvador, 2010. "Consensus Building in AHP-Group Decision Making: A Bayesian Approach," Operations Research, INFORMS, vol. 58(6), pages 1755-1773, December.
    • Handle: RePEc:inm:oropre:v:58:y:2010:i:6:p:1755-1773
    DOI: 10.1287/opre.1100.0856
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.1100.0856
    Download Restriction: no
    File URL: https://libkey.io/10.1287/opre.1100.0856?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Pilar Gargallo & José María Moreno-Jiménez & Manuel Salvador, 2007. "AHP-Group Decision Making: A Bayesian Approach Based on Mixtures for Group Pattern Identification," Group Decision and Negotiation, Springer, vol. 16(6), pages 485-506, November.
    2. Escobar, M. T. & Moreno-Jimenez, J. M., 2000. "Reciprocal distributions in the analytic hierarchy process," European Journal of Operational Research, Elsevier, vol. 123(1), pages 154-174, May.
    3. Saaty, Thomas L. & Vargas, Luis G., 1987. "Uncertainty and rank order in the analytic hierarchy process," European Journal of Operational Research, Elsevier, vol. 32(1), pages 107-117, October.
    4. María Teresa Escobar & José María Moreno-jiménez, 2007. "Aggregation of Individual Preference Structures in Ahp-Group Decision Making," Group Decision and Negotiation, Springer, vol. 16(4), pages 287-301, July.
    5. Ramanathan, R. & Ganesh, L. S., 1994. "Group preference aggregation methods employed in AHP: An evaluation and an intrinsic process for deriving members' weightages," European Journal of Operational Research, Elsevier, vol. 79(2), pages 249-265, December.
    6. Fichtner, John, 1986. "On deriving priority vectors from matrices of pairwise comparisons," Socio-Economic Planning Sciences, Elsevier, vol. 20(6), pages 341-345.
    7. Altuzarra, Alfredo & Moreno-Jimenez, Jose Maria & Salvador, Manuel, 2007. "A Bayesian priorization procedure for AHP-group decision making," European Journal of Operational Research, Elsevier, vol. 182(1), pages 367-382, October.
    8. J. Ramsay, 1977. "Maximum likelihood estimation in multidimensional scaling," Psychometrika, Springer;The Psychometric Society, vol. 42(2), pages 241-266, June.
    9. Laininen, Pertti & Hamalainen, Raimo P., 2003. "Analyzing AHP-matrices by regression," European Journal of Operational Research, Elsevier, vol. 148(3), pages 514-524, August.
    10. Hovanov, Nikolai V. & Kolari, James W. & Sokolov, Mikhail V., 2008. "Deriving weights from general pairwise comparison matrices," Mathematical Social Sciences, Elsevier, vol. 55(2), pages 205-220, March.
    11. Forman, Ernest & Peniwati, Kirti, 1998. "Aggregating individual judgments and priorities with the analytic hierarchy process," European Journal of Operational Research, Elsevier, vol. 108(1), pages 165-169, July.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Manuel Salvador & Alfredo Altuzarra & Pilar Gargallo & José María Moreno-Jiménez, 2015. "A Bayesian Approach to Maximising Inner Compatibility in AHP-Systemic Decision Making," Group Decision and Negotiation, Springer, vol. 24(4), pages 655-673, July.
    2. José María Moreno-Jiménez & Manuel Salvador & Pilar Gargallo & Alfredo Altuzarra, 2016. "Systemic decision making in AHP: a Bayesian approach," Annals of Operations Research, Springer, vol. 245(1), pages 261-284, October.
    3. Juan Aguarón & María Teresa Escobar & José María Moreno-Jiménez, 2016. "The precise consistency consensus matrix in a local AHP-group decision making context," Annals of Operations Research, Springer, vol. 245(1), pages 245-259, October.
    4. Changsheng Lin & Gang Kou & Yi Peng & Fawaz E. Alsaadi, 2022. "Aggregation of the nearest consistency matrices with the acceptable consensus in AHP-GDM," Annals of Operations Research, Springer, vol. 316(1), pages 179-195, September.
    5. Altuzarra, Alfredo & Moreno-Jimenez, Jose Maria & Salvador, Manuel, 2007. "A Bayesian priorization procedure for AHP-group decision making," European Journal of Operational Research, Elsevier, vol. 182(1), pages 367-382, October.
    6. Pilar Gargallo & José María Moreno-Jiménez & Manuel Salvador, 2007. "AHP-Group Decision Making: A Bayesian Approach Based on Mixtures for Group Pattern Identification," Group Decision and Negotiation, Springer, vol. 16(6), pages 485-506, November.
    7. Juan Aguarón & María Teresa Escobar & José María Moreno-Jiménez & Alberto Turón, 2019. "AHP-Group Decision Making Based on Consistency," Mathematics, MDPI, vol. 7(3), pages 1-15, March.
    8. Hahn, Eugene D., 2006. "Link function selection in stochastic multicriteria decision making models," European Journal of Operational Research, Elsevier, vol. 172(1), pages 86-100, July.
    9. Fatima Lambarraa-Lehnhardt & Rico Ihle & Hajar Elyoubi, 2021. "How Successful Is Origin Labeling in a Developing Country Context? Moroccan Consumers’ Preferences toward Local Products," Sustainability, MDPI, vol. 13(15), pages 1-17, July.
    10. Zhu, Bin & Xu, Zeshui, 2014. "Analytic hierarchy process-hesitant group decision making," European Journal of Operational Research, Elsevier, vol. 239(3), pages 794-801.
    11. Majid Mohammadi & Damian A. Tamburri & Jafar Rezaei, 2023. "Unveiling and Unraveling Aggregation and Dispersion Fallacies in Group MCDM," Group Decision and Negotiation, Springer, vol. 32(4), pages 779-806, August.
    12. Gomez-Limon, J.A. & Atance, I., 2004. "Identification of public objectives related to agricultural sector support," Journal of Policy Modeling, Elsevier, vol. 26(8-9), pages 1045-1071, December.
    13. Zein Kallas & Teresa Serra & José Maria Gil, 2010. "Farmers’ objectives as determinants of organic farming adoption: the case of Catalonian vineyard production," Agricultural Economics, International Association of Agricultural Economists, vol. 41(5), pages 409-423, September.
    14. Dede, Georgia & Kamalakis, Thomas & Sphicopoulos, Thomas, 2016. "Theoretical estimation of the probability of weight rank reversal in pairwise comparisons," European Journal of Operational Research, Elsevier, vol. 252(2), pages 587-600.
    15. Juan Aguarón & María Teresa Escobar & José María Moreno-Jiménez, 2023. "Reducing incompatibility in a local AHP-group decision making context," Annals of Operations Research, Springer, vol. 326(1), pages 1-26, July.
    16. JosÉ MarÍa & Moreno JimÉnez & Juan AguarÓn Joven & AgustÍn Raluy Pirla & Alberto TurÓn Lanuza, 2005. "A Spreadsheet Module for Consistent Consensus Building in AHP-Group Decision Making," Group Decision and Negotiation, Springer, vol. 14(2), pages 89-108, March.
    17. Jerónimo Aznar & Francisco Guijarro & José Moreno-Jiménez, 2011. "Mixed valuation methods: a combined AHP-GP procedure for individual and group multicriteria agricultural valuation," Annals of Operations Research, Springer, vol. 190(1), pages 221-238, October.
    18. Rico, Margarita & González, Andrés, 2015. "Social participation into regional forest planning attending to multifunctional objectives," Forest Policy and Economics, Elsevier, vol. 59(C), pages 27-34.
    19. Fatima Lambarraa-Lehnhardt & Rico Ihle & Khadija Mhaouch, 2021. "Geographical indications for supporting rural development in the context of the Green Morocco Plan: Oasis dates," Agricultural Economics, Czech Academy of Agricultural Sciences, vol. 67(2), pages 70-79.
    20. Alfredo Altuzarra & Pilar Gargallo & José María Moreno-Jiménez & Manuel Salvador, 2022. "Identification of Homogeneous Groups of Actors in a Local AHP-Multiactor Context with a High Number of Decision-Makers: A Bayesian Stochastic Search," Mathematics, MDPI, vol. 10(3), pages 1-20, February.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:inm:oropre:v:58:y:2010:i:6:p:1755-1773. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.