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Incremental analysis for generalized TODIM

Author

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  • Yuan-Sheng Lee

    (Tamkang University)

  • Hsu-Shih Shih

    (Tamkang University)

Abstract

This study aims to generalize TODIM to eliminate two types of scaling effects by incremental analysis. One effect is due to an inappropriate presentation of the losses part in S-shaped value function in traditional TODIM, in which the criteria with smaller weights will contribute larger dominance values in its computing process. The other effect is derived from aggregating partial dominance measurements among heterogeneous criteria in traditional TODIM (a Portuguese acronym of Interactive and Multi-criteria Decision Making). The proposed approach firstly divides the criteria into two categories, benefits and costs, each of which is manipulated separately so as to facilitate incremental analysis. For each category, the pairwise dominance of one alternative is accumulated and normalized to represent the global dominance of each alternative. The global dominance measurements of alternatives in both categories are then combined according to benefit-cost ratio in order to rank alternatives. In addition, sensitivity analyses on the parameters of the gains/losses value function and the cutoff benefit-cost ratio demonstrate the robustness of the proposed model. An example of the selection of fuel buses is illustrated, and shows that our model is feasible and effective for MCDM problems with risk preference.

Suggested Citation

  • 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.
  • Handle: RePEc:spr:cejnor:v:24:y:2016:i:4:d:10.1007_s10100-015-0427-2
    DOI: 10.1007/s10100-015-0427-2
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    References listed on IDEAS

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    Cited by:

    1. Dongsheng Xu & Xiaolan Wei & Hui Ding & Hongqiong Bin, 2020. "A New Method Based on PROMETHEE and TODIM for Multi-Attribute Decision-Making with Single-Valued Neutrosophic Sets," Mathematics, MDPI, vol. 8(10), pages 1-12, October.
    2. Leoneti, Alexandre Bevilacqua & Gomes, Luiz Flavio Autran Monteiro, 2021. "A novel version of the TODIM method based on the exponential model of prospect theory: The ExpTODIM method," European Journal of Operational Research, Elsevier, vol. 295(3), pages 1042-1055.
    3. Leoneti, Alexandre Bevilacqua & Gomes, Luiz Flavio Autran Monteiro, 2021. "Modeling multicriteria group decision making as games from enhanced pairwise comparisons," Operations Research Perspectives, Elsevier, vol. 8(C).
    4. Llamazares, Bonifacio, 2018. "An analysis of the generalized TODIM method," European Journal of Operational Research, Elsevier, vol. 269(3), pages 1041-1049.

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