IDEAS home Printed from https://ideas.repec.org/a/eee/jomega/v94y2020ics0305048318309733.html
   My bibliography  Save this article

A Meta-Goal Programming approach to cardinal preferences aggregation in multicriteria problems

Author

Listed:
  • Benítez-Fernández, Amalia
  • Ruiz, Francisco

Abstract

Solving multicriteria decision making problems often requires the assessment of certain preferential information. In some occasions, this information must be given by several individuals or social groups, and these individual assessments need to be aggregated into single global preferences. This cardinal preferences aggregation problem has been tackled using different techniques, including multicriteria decision making ones. In this paper, a Meta-Goal Programming approach is proposed, where different target values can be set on several achievement functions that measure the goodness of the global assessments. This methodology presents strong advantages due to its modeling flexibility and its ability to find balanced solutions. The proposed approach is demonstrated with an illustrative example and a series of computational experiments, and it is shown that the Meta-Goal Programming method produces results with better values of the achievement functions than other classical and multicriteria approaches.

Suggested Citation

  • Benítez-Fernández, Amalia & Ruiz, Francisco, 2020. "A Meta-Goal Programming approach to cardinal preferences aggregation in multicriteria problems," Omega, Elsevier, vol. 94(C).
    • Handle: RePEc:eee:jomega:v:94:y:2020:i:c:s0305048318309733
    DOI: 10.1016/j.omega.2019.03.003
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0305048318309733
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.omega.2019.03.003?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. A. Charnes & W. W. Cooper & R. O. Ferguson, 1955. "Optimal Estimation of Executive Compensation by Linear Programming," Management Science, INFORMS, vol. 1(2), pages 138-151, January.
    2. Dylan Jones & Mehrdad Tamiz, 2010. "Practical Goal Programming," International Series in Operations Research and Management Science, Springer, edition 1, number 978-1-4419-5771-9, September.
    3. Chichilnisky, Graciela, 1985. "Von Neuman- Morgenstern utilities and cardinal preferences," MPRA Paper 8090, University Library of Munich, Germany.
    4. Jones, Dylan & Florentino, Helenice & Cantane, Daniela & Oliveira, Rogerio, 2016. "An extended goal programming methodology for analysis of a network encompassing multiple objectives and stakeholders," European Journal of Operational Research, Elsevier, vol. 255(3), pages 845-855.
    5. Linares, Pedro & Romero, Carlos, 2002. "Aggregation of preferences in an environmental economics context: a goal-programming approach," Omega, Elsevier, vol. 30(2), pages 89-95, April.
    6. Ralph L. Keeney & Craig W. Kirkwood, 1975. "Group Decision Making Using Cardinal Social Welfare Functions," Management Science, INFORMS, vol. 22(4), pages 430-437, December.
    7. Garmendia, Eneko & Gamboa, Gonzalo, 2012. "Weighting social preferences in participatory multi-criteria evaluations: A case study on sustainable natural resource management," Ecological Economics, Elsevier, vol. 84(C), pages 110-120.
    8. Rodriguez Uria, M. Victoria & Caballero, Rafael & Ruiz, Francisco & Romero, Carlos, 2002. "Meta-goal programming," European Journal of Operational Research, Elsevier, vol. 136(2), pages 422-429, January.
    9. Caballero, Rafael & Ruiz, Francisco & Uria, M. Victoria Rodriguez & Romero, Carlos, 2006. "Interactive meta-goal programming," European Journal of Operational Research, Elsevier, vol. 175(1), pages 135-154, November.
    10. Yoram Wind & Thomas L. Saaty, 1980. "Marketing Applications of the Analytic Hierarchy Process," Management Science, INFORMS, vol. 26(7), pages 641-658, July.
    11. Graciela Chichilnisky, 1985. "Von Neumann-Morgenstern Utilities and Cardinal Preferences," Mathematics of Operations Research, INFORMS, vol. 10(4), pages 633-641, November.
    12. Ralph L. Keeney, 1976. "A Group Preference Axiomatization with Cardinal Utility," Management Science, INFORMS, vol. 23(2), pages 140-145, October.
    13. Kalyanmoy Deb & Kaisa Miettinen, 2010. "Nadir Point Estimation Using Evolutionary Approaches: Better Accuracy and Computational Speed Through Focused Search," Lecture Notes in Economics and Mathematical Systems, in: Matthias Ehrgott & Boris Naujoks & Theodor J. Stewart & Jyrki Wallenius (ed.), Multiple Criteria Decision Making for Sustainable Energy and Transportation Systems, pages 339-354, Springer.
    14. Eneko Garmendia & Gonzalo Gamboa, 2012. "Weighting social preferences in participatory multi-criteria evaluations: a case study on sustainable natural resource management," Working Papers 2012-06, BC3.
    15. González-Pachøn, Jacinto & Romero, Carlos, 1999. "Distance-based consensus methods: a goal programming approach," Omega, Elsevier, vol. 27(3), pages 341-347, June.
    16. Chichilnisky, Graciela, 1980. "Social choice and the topology of spaces of preferences," MPRA Paper 8006, University Library of Munich, Germany.
    17. González-Pachón, Jacinto & Romero, Carlos, 2011. "The design of socially optimal decisions in a consensus scenario," Omega, Elsevier, vol. 39(2), pages 179-185, April.
    18. Romero, Carlos, 2001. "Extended lexicographic goal programming: a unifying approach," Omega, Elsevier, vol. 29(1), pages 63-71, February.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Pushparenu Bhattacharjee & Syed Abou Iltaf Hussain & V. Dey & U. K. Mandal, 2023. "Failure mode and effects analysis for submersible pump component using proportionate risk assessment model: a case study in the power plant of Agartala," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 14(5), pages 1778-1798, October.
    2. Akbari, Sina & Escobedo, Adolfo R., 2023. "Beyond kemeny rank aggregation: A parameterizable-penalty framework for robust ranking aggregation with ties," Omega, Elsevier, vol. 119(C).
    3. de Castro-Pardo, Mónica & Cabello, José Manuel & Martín, José María & Ruiz, Francisco, 2023. "A multi reference point based index to assess and monitor European water policies from a sustainability approach," Socio-Economic Planning Sciences, Elsevier, vol. 89(C).

    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. J González-Pachón & C Romero, 2006. "An analytical framework for aggregating multiattribute utility functions," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(10), pages 1241-1247, October.
    2. Francisco Salas-Molina & Filippo Bistaffa & Juan A. Rodriguez-Aguilar, 2024. "A General Approach for Computing a Consensus in Group Decision Making That Integrates Multiple Ethical Principles," Papers 2401.07818, arXiv.org, revised Mar 2024.
    3. González-Pachón, Jacinto & Romero, Carlos, 2016. "Bentham, Marx and Rawls ethical principles: In search for a compromise," Omega, Elsevier, vol. 62(C), pages 47-51.
    4. Roberto Cervelló-Royo & Francisco Guijarro & Victor Martinez-Gomez, 2019. "Social Performance considered within the global performance of Microfinance Institutions: a new approach," Operational Research, Springer, vol. 19(3), pages 737-755, September.
    5. Amelia Bilbao-Terol & Mariano Jiménez & Mar Arenas-Parra, 2016. "A group decision making model based on goal programming with fuzzy hierarchy: an application to regional forest planning," Annals of Operations Research, Springer, vol. 245(1), pages 137-162, October.
    6. Jacinto González-Pachón & Carlos Romero, 2007. "Inferring consensus weights from pairwise comparison matrices without suitable properties," Annals of Operations Research, Springer, vol. 154(1), pages 123-132, October.
    7. Hocine, Amine, 2018. "Meta goal programing approach for solving multi-criteria de Novo programing problemAuthor-Name: Zhuang, Zheng-Yun," European Journal of Operational Research, Elsevier, vol. 265(1), pages 228-238.
    8. Chang, Ching-Ter, 2011. "Multi-choice goal programming with utility functions," European Journal of Operational Research, Elsevier, vol. 215(2), pages 439-445, December.
    9. González-Pachón, Jacinto & Romero, Carlos, 2011. "The design of socially optimal decisions in a consensus scenario," Omega, Elsevier, vol. 39(2), pages 179-185, April.
    10. Salas-Molina, Francisco & Bistaffa, Filippo & Rodríguez-Aguilar, Juan A., 2023. "A general approach for computing a consensus in group decision making that integrates multiple ethical principles," Socio-Economic Planning Sciences, Elsevier, vol. 89(C).
    11. Jesús Barreiro-Hurlé & José Gómez-Limón, 2008. "Reconsidering Heterogeneity and Aggregation Issues in Environmental Valuation: A Multi-attribute Approach," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 40(4), pages 551-570, August.
    12. Francisco Guijarro, 2019. "A Multicriteria Model for the Assessment of Countries’ Environmental Performance," IJERPH, MDPI, vol. 16(16), pages 1-15, August.
    13. Jones, Dylan & Jimenez, Mariano, 2013. "Incorporating additional meta-objectives into the extended lexicographic goal programming framework," European Journal of Operational Research, Elsevier, vol. 227(2), pages 343-349.
    14. Stamenkovska, Ivana Janeska & Dimitrievski, Dragi & Erjavec, Emil & Stojcheska, Aleksandra Martinovska & Zgajnar, Jaka, 2014. "A weighted goal programming model for vegetable production planning in Republic of Macedonia," 2014 International Congress, August 26-29, 2014, Ljubljana, Slovenia 182967, European Association of Agricultural Economists.
    15. Graciela Chichilnisky, 1996. "A robust theory of resource allocation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 13(1), pages 1-10, January.
    16. 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.
    17. Jayaraman, Raja & Colapinto, Cinzia & Torre, Davide La & Malik, Tufail, 2015. "Multi-criteria model for sustainable development using goal programming applied to the United Arab Emirates," Energy Policy, Elsevier, vol. 87(C), pages 447-454.
    18. David Kik & Matthias Gerhard Wichmann & Thomas Stefan Spengler, 2022. "Decision support framework for the regional facility location and development planning problem," Journal of Business Economics, Springer, vol. 92(1), pages 115-157, January.
    19. Contreras, I. & Marmol, A.M., 2007. "A lexicographical compromise method for multiple criteria group decision problems with imprecise information," European Journal of Operational Research, Elsevier, vol. 181(3), pages 1530-1539, September.
    20. Hocine, Amin & Zhuang, Zheng-Yun & Kouaissah, Noureddine & Li, Der-Chiang, 2020. "Weighted-additive fuzzy multi-choice goal programming (WA-FMCGP) for supporting renewable energy site selection decisions," European Journal of Operational Research, Elsevier, vol. 285(2), pages 642-654.

    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:eee:jomega:v:94:y:2020:i:c:s0305048318309733. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/375/description#description .

    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.