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Behavioral multi-criteria decision analysis: the TODIM method with criteria interactions

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  • Luiz Gomes
  • Maria Machado
  • Luis Rangel

Abstract

In this paper a multi-criteria decision aiding model is developed through the use of the Choquet integral. The proposed model is an extension of the TODIM method, which is based on nonlinear Cumulative Prospect Theory. The paper starts by reviewing the first steps of behavioral decision theory. A presentation of the TODIM method follows. The basic concepts of the Choquet integral as related to multi-criteria decision aiding are reviewed. It is also shown how the measures of dominance of the TODIM method can be rewritten through the application of the Choquet integral. From the ordering of decision criteria the fuzzy measures of criteria interactions are computed, which leads to the ranking of alternatives. A case study on the forecasting of property values for rent in a Brazilian city illustrates the proposed model. Results obtained from the use of the Choquet integral are then compared against a previously made usage of the TODIM method. It is concluded that significant advantages exist derived from the use of the Choquet integral. The paper closes with recommendations for future research. Copyright Springer Science+Business Media New York 2013

Suggested Citation

  • Luiz Gomes & Maria Machado & Luis Rangel, 2013. "Behavioral multi-criteria decision analysis: the TODIM method with criteria interactions," Annals of Operations Research, Springer, vol. 211(1), pages 531-548, December.
    • Handle: RePEc:spr:annopr:v:211:y:2013:i:1:p:531-548:10.1007/s10479-013-1345-0
    DOI: 10.1007/s10479-013-1345-0
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    Cited by:

    1. Yuan-Sheng Lee & Hsu-Shih Shih, 2016. "Incremental analysis for generalized TODIM," 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. 24(4), pages 901-922, December.
    2. Volker Kuppelwieser & Fouad Ben Abdelaziz & Olfa Meddeb, 2020. "Unstable interactions in customers’ decision making: an experimental proof," Annals of Operations Research, Springer, vol. 294(1), pages 479-499, November.
    3. 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.
    4. Llamazares, Bonifacio, 2018. "An analysis of the generalized TODIM method," European Journal of Operational Research, Elsevier, vol. 269(3), pages 1041-1049.
    5. Xiaolu Zhang, 2016. "New Interval-Valued Intuitionistic Fuzzy Behavioral MADM Method and Its Application in the Selection of Photovoltaic Cells," Energies, MDPI, vol. 9(10), pages 1-20, October.
    6. Zhenyu Zhang & Jie Lin & Huirong Zhang & Shuangsheng Wu & Dapei Jiang, 2020. "Hybrid TODIM Method for Law Enforcement Possibility Evaluation of Judgment Debtor," Mathematics, MDPI, vol. 8(10), pages 1-21, October.

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