IDEAS home Printed from https://ideas.repec.org/a/spr/grdene/v26y2017i4d10.1007_s10726-016-9494-6.html
   My bibliography  Save this article

A Robustness Study of State-of-the-Art Surrogate Weights for MCDM

Author

Listed:
  • Mats Danielson

    (Stockholm University
    International Institute for Applied Systems Analysis, IIASA)

  • Love Ekenberg

    (Stockholm University
    International Institute for Applied Systems Analysis, IIASA)

Abstract

A vast number of methods for solving multi-criteria decision problems have been suggested for assessing criteria weights requiring more exact input data than users normally are able to provide. In particular, the selection of adequate criteria weights is difficult and in order to be realistic, other methods must be introduced. One class of such methods is to introduce so called surrogate weights, where numerical weights are assigned to each criterion based on a cardinal or ordinal rank ordering, assumed to represent the information extracted from the user. One essential problem is the robustness of such methods. In this article, we compare state-of-the-art methods based on surrogate weights from the literature and, utilising a simulation approach, discuss underlying assumptions and robustness properties. This results in a quantitative measurement of these weighting methods and a methodology applicable also to forthcoming methods.

Suggested Citation

  • Mats Danielson & Love Ekenberg, 2017. "A Robustness Study of State-of-the-Art Surrogate Weights for MCDM," Group Decision and Negotiation, Springer, vol. 26(4), pages 677-691, July.
  • Handle: RePEc:spr:grdene:v:26:y:2017:i:4:d:10.1007_s10726-016-9494-6
    DOI: 10.1007/s10726-016-9494-6
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10726-016-9494-6
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s10726-016-9494-6?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. Theodor J. Stewart, 1993. "Use of Piecewise Linear Value Functions in Interactive Multicriteria Decision Support: A Monte Carlo Study," Management Science, INFORMS, vol. 39(11), pages 1369-1381, November.
    2. F. Hutton Barron & Bruce E. Barrett, 1996. "Decision Quality Using Ranked Attribute Weights," Management Science, INFORMS, vol. 42(11), pages 1515-1523, November.
    3. Danielson, Mats & Ekenberg, Love, 2007. "Computing upper and lower bounds in interval decision trees," European Journal of Operational Research, Elsevier, vol. 181(2), pages 808-816, September.
    4. Arbel, Ami & Vargas, Luis G., 1993. "Preference simulation and preference programming: robustness issues in priority derivation," European Journal of Operational Research, Elsevier, vol. 69(2), pages 200-209, September.
    5. Mats Danielson & Love Ekenberg & Ying He, 2014. "Augmenting Ordinal Methods of Attribute Weight Approximation," Decision Analysis, INFORMS, vol. 11(1), pages 21-26, March.
    6. Danielle Costa Morais & Adiel Teixeira Almeida & José Rui Figueira, 2014. "A Sorting Model for Group Decision Making: A Case Study of Water Losses in Brazil," Group Decision and Negotiation, Springer, vol. 23(5), pages 937-960, September.
    7. Rao, J. S. & Sobel, Milton, 1980. "Incomplete Dirichlet integrals with applications to ordered uniform spacings," Journal of Multivariate Analysis, Elsevier, vol. 10(4), pages 603-610, December.
    8. Figueira, Jose & Roy, Bernard, 2002. "Determining the weights of criteria in the ELECTRE type methods with a revised Simos' procedure," European Journal of Operational Research, Elsevier, vol. 139(2), pages 317-326, June.
    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. Nadejda Komendantova & Leena Marashdeh & Love Ekenberg & Mats Danielson & Franziska Dettner & Simon Hilpert & Clemens Wingenbach & Kholoud Hassouneh & Ahmed Al-Salaymeh, 2020. "Water–Energy Nexus: Addressing Stakeholder Preferences in Jordan," Sustainability, MDPI, vol. 12(15), pages 1-16, July.
    2. Eduarda Asfora Frej & Danielle Costa Morais & Adiel Teixeira de Almeida, 2022. "Negotiation Support Through Interactive Dominance Relationship Specification," Group Decision and Negotiation, Springer, vol. 31(3), pages 591-620, June.
    3. Kunsch, Pierre L. & Ishizaka, Alessio, 2019. "A note on using centroid weights in additive multi-criteria decision analysis," European Journal of Operational Research, Elsevier, vol. 277(1), pages 391-393.
    4. Amin Mahmoudi & Saad Ahmed Javed, 2023. "Uncertainty Analysis in Group Decisions through Interval Ordinal Priority Approach," Group Decision and Negotiation, Springer, vol. 32(4), pages 807-833, August.
    5. Mehmet Ali Dereli & Emre Tercan, 2021. "Comparison of GIS-based surrogate weighting methods for multi-directional landfill site selection in West Mediterranean Planning Region in Turkey," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 23(3), pages 3438-3457, March.
    6. Luigi Fabbris & Manuela Scioni, 2021. "Pooling Rankings to Obtain a Set of Scores for a Composite Indicator of Erasmus + Mobility Effects," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 156(2), pages 481-497, August.
    7. Ewa Roszkowska, 2020. "The extention rank ordering criteria weighting methods in fuzzy enviroment," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 30(2), pages 91-114.
    8. Joanna Jaroszewicz & Anna Majewska, 2021. "Group Spatial Preferences of Residential Locations—Simplified Method Based on Crowdsourced Spatial Data and MCDA," Sustainability, MDPI, vol. 13(9), pages 1-24, April.

    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. Mats Danielson & Love Ekenberg, 2016. "The CAR Method for Using Preference Strength in Multi-criteria Decision Making," Group Decision and Negotiation, Springer, vol. 25(4), pages 775-797, July.
    2. de Almeida Filho, Adiel T. & Clemente, Thárcylla R.N. & Morais, Danielle Costa & de Almeida, Adiel Teixeira, 2018. "Preference modeling experiments with surrogate weighting procedures for the PROMETHEE method," European Journal of Operational Research, Elsevier, vol. 264(2), pages 453-461.
    3. Jay Simon, 2020. "Weight Approximation for Spatial Outcomes," Sustainability, MDPI, vol. 12(14), pages 1-18, July.
    4. Tervonen, Tommi & Figueira, José Rui & Lahdelma, Risto & Dias, Juscelino Almeida & Salminen, Pekka, 2009. "A stochastic method for robustness analysis in sorting problems," European Journal of Operational Research, Elsevier, vol. 192(1), pages 236-242, January.
    5. Podinovski, Vladislav V., 2020. "Maximum likelihood solutions for multicriterial choice problems," European Journal of Operational Research, Elsevier, vol. 286(1), pages 299-308.
    6. Roger Chapman Burk & Richard M. Nehring, 2023. "An Empirical Comparison of Rank-Based Surrogate Weights in Additive Multiattribute Decision Analysis," Decision Analysis, INFORMS, vol. 20(1), pages 55-72, March.
    7. Manel Baucells & Juan A. Carrasco & Robin M. Hogarth, 2008. "Cumulative Dominance and Heuristic Performance in Binary Multiattribute Choice," Operations Research, INFORMS, vol. 56(5), pages 1289-1304, October.
    8. Ali Abbas, 2004. "Maximum Entropy Utility," Game Theory and Information 0403002, University Library of Munich, Germany.
    9. Pierre L. Kunsch & Jean-Pierre Brans, 2019. "Visualising multi-criteria weight elicitation by multiple stakeholders in complex decision systems," Operational Research, Springer, vol. 19(4), pages 955-971, December.
    10. Miłosz Kadziński & Lucia Rocchi & Grzegorz Miebs & David Grohmann & Maria Elena Menconi & Luisa Paolotti, 2018. "Multiple Criteria Assessment of Insulating Materials with a Group Decision Framework Incorporating Outranking Preference Model and Characteristic Class Profiles," Group Decision and Negotiation, Springer, vol. 27(1), pages 33-59, February.
    11. Corrente, Salvatore & Greco, Salvatore & Słowiński, Roman, 2016. "Multiple Criteria Hierarchy Process for ELECTRE Tri methods," European Journal of Operational Research, Elsevier, vol. 252(1), pages 191-203.
    12. Eduarda Asfora Frej & Adiel Teixeira Almeida & Ana Paula Cabral Seixas Costa, 2019. "Using data visualization for ranking alternatives with partial information and interactive tradeoff elicitation," Operational Research, Springer, vol. 19(4), pages 909-931, December.
    13. Dong, Yucheng & Liu, Yating & Liang, Haiming & Chiclana, Francisco & Herrera-Viedma, Enrique, 2018. "Strategic weight manipulation in multiple attribute decision making," Omega, Elsevier, vol. 75(C), pages 154-164.
    14. Paulo Cesar Schotten & Leydiana Sousa Pereira & Danielle Costa Morais, 2022. "Credit granting sorting model for financial organizations," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 8(1), pages 1-24, December.
    15. Mehmet Ali Dereli & Emre Tercan, 2021. "Comparison of GIS-based surrogate weighting methods for multi-directional landfill site selection in West Mediterranean Planning Region in Turkey," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 23(3), pages 3438-3457, March.
    16. Ali E. Abbas, 2006. "Maximum Entropy Utility," Operations Research, INFORMS, vol. 54(2), pages 277-290, April.
    17. Ahn, Byeong Seok, 2017. "Approximate weighting method for multiattribute decision problems with imprecise parameters," Omega, Elsevier, vol. 72(C), pages 87-95.
    18. Ahn, Byeong Seok & Park, Haechurl, 2014. "Establishing dominance between strategies with interval judgments of state probabilities," Omega, Elsevier, vol. 49(C), pages 53-59.
    19. Tobias Fasth & Samuel Bohman & Aron Larsson & Love Ekenberg & Mats Danielson, 2020. "Portfolio Decision Analysis for Evaluating Stakeholder Conflicts in Land Use Planning," Group Decision and Negotiation, Springer, vol. 29(2), pages 321-343, April.
    20. Ermis Chelmis & Dimitrios Niklis & George Baourakis & Constantin Zopounidis, 2019. "Multiciteria evaluation of football clubs: the Greek Superleague," Operational Research, Springer, vol. 19(2), pages 585-614, June.

    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:spr:grdene:v:26:y:2017:i:4:d:10.1007_s10726-016-9494-6. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.