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Novel types of sensitivity analysis for additive MCDM methods

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  • Bertrand Mareschal
  • Wihelmus Theodorus Marie Wolters

Abstract

Three novel types of sensitivity analysis are presented. They determine the following: 1) the sensitivity of a ranking to specific changes in the evaluations of all alternatives on certain criteria; 2) the influence of specific changes in certain criterion-scores of an alternative; 3) the minimum modification of the weights required to make an alternative ranked first. The use of these instruments is demonstrated by the results of a simulation experiment. Results show that the first and second type of sensitivity analysis enable to apply multiple criteria decision making (MCDM) methods in dynamic circumstances. The third type of sensitivity analysis is demonstrated to be a tool to analyze the total weight space. © 1995.

Suggested Citation

  • Bertrand Mareschal & Wihelmus Theodorus Marie Wolters, 1995. "Novel types of sensitivity analysis for additive MCDM methods," ULB Institutional Repository 2013/9363, ULB -- Universite Libre de Bruxelles.
    • Handle: RePEc:ulb:ulbeco:2013/9363
    Note: SCOPUS: ar.j
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    1. Bertrand Mareschal & Jean Pierre Brans & Philippe Vincke, 1984. "Prométhée: a new family of outranking methods in multicriteria analysis," ULB Institutional Repository 2013/9305, ULB -- Universite Libre de Bruxelles.
    2. Mareschal, Bertrand, 1988. "Weight stability intervals in multicriteria decision aid," European Journal of Operational Research, Elsevier, vol. 33(1), pages 54-64, January.
    3. Bertrand Mareschal & Jean Pierre Brans & Philippe Vincke, 1986. "How to select and how to rank projects: the Prométhée method," ULB Institutional Repository 2013/9307, ULB -- Universite Libre de Bruxelles.
    4. Brans, J. P. & Vincke, Ph. & Mareschal, B., 1986. "How to select and how to rank projects: The method," European Journal of Operational Research, Elsevier, vol. 24(2), pages 228-238, February.
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    1. Vetschera, Rudolf, 1996. "A recursive algorithm for volume-based sensitivity analysis of linear decision models," Discussion Papers, Series I 279, University of Konstanz, Department of Economics.
    2. Corrente, Salvatore & Figueira, José Rui & Greco, Salvatore, 2014. "The SMAA-PROMETHEE method," European Journal of Operational Research, Elsevier, vol. 239(2), pages 514-522.
    3. Ichiro Nishizaki & Hideki Katagiri & Tomohiro Hayashida, 2010. "Sensitivity analysis incorporating fuzzy evaluation for scaling constants of multiattribute utility functions," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 18(3), pages 383-396, September.
    4. Sola, Antonio Vanderley Herrero & Mota, Caroline Maria de Miranda & Kovaleski, João Luiz, 2011. "A model for improving energy efficiency in industrial motor system using multicriteria analysis," Energy Policy, Elsevier, vol. 39(6), pages 3645-3654, June.
    5. Hyungjin Shin & Gyumin Lee & Jaenam Lee & Sehoon Kim & Inhong Song, 2023. "Assessment of Agricultural Drought Vulnerability with Focus on Upland Fields and Identification of Primary Management Areas," Sustainability, MDPI, vol. 15(3), pages 1-16, February.
    6. Angilella, Silvia & Giarlotta, Alfio & Lamantia, Fabio, 2010. "A linear implementation of PACMAN," European Journal of Operational Research, Elsevier, vol. 205(2), pages 401-411, September.
    7. Orhan Emre Elma & Željko Stević & Mahmut Baydaş, 2024. "An Alternative Sensitivity Analysis for the Evaluation of MCDA Applications: The Significance of Brand Value in the Comparative Financial Performance Analysis of BIST High-End Companies," Mathematics, MDPI, vol. 12(4), pages 1-24, February.
    8. Rocco S., Claudio M. & Hernandez, Elvis, 2015. "Robustness and sensitivity analysis in multiple criteria decision problems using rule learner techniques," Reliability Engineering and System Safety, Elsevier, vol. 134(C), pages 297-304.
    9. Opricovic, Serafim & Tzeng, Gwo-Hshiung, 2007. "Extended VIKOR method in comparison with outranking methods," European Journal of Operational Research, Elsevier, vol. 178(2), pages 514-529, April.
    10. Thi Yen Pham & Gi-Tae Yeo, 2019. "Evaluation of Transshipment Container Terminals’ Service Quality in Vietnam: From the Shipping Companies’ Perspective," Sustainability, MDPI, vol. 11(5), pages 1-14, March.
    11. Ringuest, Jeffrey L., 1997. "LP-metric sensitivity analysis for single and multi-attribute decision analysis," European Journal of Operational Research, Elsevier, vol. 98(3), pages 563-570, May.
    12. Opricovic, Serafim & Tzeng, Gwo-Hshiung, 2004. "Compromise solution by MCDM methods: A comparative analysis of VIKOR and TOPSIS," European Journal of Operational Research, Elsevier, vol. 156(2), pages 445-455, July.
    13. Vincent Mousseau & Özgür Özpeynirci & Selin Özpeynirci, 2018. "Inverse multiple criteria sorting problem," Annals of Operations Research, Springer, vol. 267(1), pages 379-412, August.
    14. Agata Sielska, 2010. "Multicriteria rankings of open-end investment funds and their stability," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 20(1), pages 111-129.
    15. Alizadeh, Reza & Soltanisehat, Leili & Lund, Peter D. & Zamanisabzi, Hamed, 2020. "Improving renewable energy policy planning and decision-making through a hybrid MCDM method," Energy Policy, Elsevier, vol. 137(C).
    16. Hodgkin, Julie & Belton, Valerie & Koulouri, Anastasia, 2005. "Supporting the intelligent MCDA user: A case study in multi-person multi-criteria decision support," European Journal of Operational Research, Elsevier, vol. 160(1), pages 172-189, January.
    17. Behzadian, Majid & Kazemzadeh, R.B. & Albadvi, A. & Aghdasi, M., 2010. "PROMETHEE: A comprehensive literature review on methodologies and applications," European Journal of Operational Research, Elsevier, vol. 200(1), pages 198-215, January.
    18. Özgür Özpeynirci & Selin Özpeynirci & Vincent Mousseau, 2023. "A decomposition based minimax regret approach for inverse multiple criteria sorting problem," 4OR, Springer, vol. 21(1), pages 125-149, March.
    19. Haddad, M. & Sanders, D. & Tewkesbury, G., 2020. "Selecting a discrete multiple criteria decision making method for Boeing to rank four global market regions," Transportation Research Part A: Policy and Practice, Elsevier, vol. 134(C), pages 1-15.
    20. Vetschera, Rudolf, 2009. "Learning about preferences in electronic negotiations - A volume-based measurement method," European Journal of Operational Research, Elsevier, vol. 194(2), pages 452-463, April.
    21. Haddad, Malik & Sanders, David, 2018. "Selection of discrete multiple criteria decision making methods in the presence of risk and uncertainty," Operations Research Perspectives, Elsevier, vol. 5(C), pages 357-370.
    22. Aguaron, Juan & Moreno-Jimenez, Jose Maria, 2000. "Local stability intervals in the analytic hierarchy process," European Journal of Operational Research, Elsevier, vol. 125(1), pages 113-132, August.
    23. Ciomek, Krzysztof & Ferretti, Valentina & Kadzinski, Milosz, 2018. "Predictive analytics and disused railways requalification: insights from a Post Factum Analysis perspective," LSE Research Online Documents on Economics 85922, London School of Economics and Political Science, LSE Library.

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    Keywords

    Multiple criteria; Sensitivity analysis;

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