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A Study on Aggregation of TOPSIS Ideal Solutions for Group Decision-Making

Author

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  • Yeu-Shiang Huang

    (National Cheng Kung University)

  • Wei-Hao Li

    (National Cheng Kung University)

Abstract

The technique for order preference by similarity to ideal solution (TOPSIS) has become a popular multi-criteria decision making (MCDM) technique, since it has a comprehensible theoretical structure and is able to provide an exact model for decision making. For the use of TOPSIS in group decisions, the common approaches in aggregating individual decision makers’ judgments are the geometric and the arithmetic mean methods, although these are too intuitive and do not consider either preference levels or preference priorities among alternatives for individual decision makers. In this paper, a TOPSIS group decision aggregation model is proposed in which the construction consists of three stages: (1) The weight differences are calculated first as the degrees of preferences among different alternatives for each decision maker; (2) The alternative priorities are then derived, and the highest one can be denoted as the degree to which a decision maker wants his most favorite alternative to be chosen; (3) The group ideal solutions approach in TOPSIS is used for the aggregation of similarities obtained from different decision makers. A comparative analysis is performed, and the proposed aggregation model seems to be more satisfactory than the traditional aggregation model for solving compromise-oriented decision problems.

Suggested Citation

  • Yeu-Shiang Huang & Wei-Hao Li, 2012. "A Study on Aggregation of TOPSIS Ideal Solutions for Group Decision-Making," Group Decision and Negotiation, Springer, vol. 21(4), pages 461-473, July.
    • Handle: RePEc:spr:grdene:v:21:y:2012:i:4:d:10.1007_s10726-010-9218-2
    DOI: 10.1007/s10726-010-9218-2
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    References listed on IDEAS

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    1. N. F. Matsatsinis & E. Grigoroudis & A. Samaras, 2005. "Aggregation and Disaggregation of Preferences for Collective Decision-Making," Group Decision and Negotiation, Springer, vol. 14(3), pages 217-232, May.
    2. Lin, Hung-Tso & Chang, Wen-Ling, 2008. "Order selection and pricing methods using flexible quantity and fuzzy approach for buyer evaluation," European Journal of Operational Research, Elsevier, vol. 187(2), pages 415-428, June.
    3. Milan Janic, 2003. "Multicriteria Evaluation of High-speed Rail, Transrapid Maglev and Air Passenger Transport in Europe," Transportation Planning and Technology, Taylor & Francis Journals, vol. 26(6), pages 491-512, December.
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    Cited by:

    1. Kübra Akyol Özcan, 2023. "Sustainability Ranking of Turkish Universities with Different Weighting Approaches and the TOPSIS Method," Sustainability, MDPI, vol. 15(16), pages 1-24, August.
    2. Fu, Yelin & Lai, Kin Keung & Yu, Lean, 2021. "Multi-nation comparisons of energy architecture performance: A group decision-making method with preference structure and acceptability analysis," Energy Economics, Elsevier, vol. 96(C).
    3. Tian Yang & Changhao Liu & Raymond P. Côté & Jinwen Ye & Weifeng Liu, 2022. "Evaluating the Barriers to Industrial Symbiosis Using a Group AHP-TOPSIS Model," Sustainability, MDPI, vol. 14(11), pages 1-30, June.
    4. Zbigniew Korzeb & Reyes Samaniego-Medina, 2019. "Sustainability Performance. A Comparative Analysis in the Polish Banking Sector," Sustainability, MDPI, vol. 11(3), pages 1-16, January.
    5. Hsu-Shih Shih, 2016. "A Mixed-Data Evaluation in Group TOPSIS with Differentiated Decision Power," Group Decision and Negotiation, Springer, vol. 25(3), pages 537-565, May.
    6. Mar Llorente-Marrón & Montserrat Díaz-Fernández & Paz Méndez-Rodríguez & Rosario González Arias, 2020. "Social Vulnerability, Gender and Disasters. The Case of Haiti in 2010," Sustainability, MDPI, vol. 12(9), pages 1-21, April.
    7. Yu, Yinyun & Li, Congdong & Fu, Yelin & Yang, Weiming, 2023. "A group decision-making method to measure national energy architecture performance: A case study of the International energy Agency," Applied Energy, Elsevier, vol. 330(PA).
    8. Yi Lixin & Cheng Ke & Cao Xiaoying & Sun Yueling & Cheng Xiaoqing & He Ye, 2017. "Analysis of social vulnerability of residential community to hazards in Tianjin, China," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 87(2), pages 1223-1243, June.
    9. Arish Ibrahim & Gulshan Kumar, 2025. "Identification and Prioritization of Critical Success Factors of a Lean Six Sigma–Industry 4.0 Integrated Framework for Sustainable Manufacturing Using TOPSIS," Sustainability, MDPI, vol. 17(3), pages 1-18, February.
    10. Sureeyatanapas, Panitas & Sriwattananusart, Kawinpob & Niyamosoth, Thanawath & Sessomboon, Weerapat & Arunyanart, Sirawadee, 2018. "Supplier selection towards uncertain and unavailable information: An extension of TOPSIS method," Operations Research Perspectives, Elsevier, vol. 5(C), pages 69-79.

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