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Type-2 TOPSIS: A Group Decision Problem When Ideal Values are not Extreme Endpoints

Author

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  • Majid Zerafat Angiz Langroudi

    (Universiti Sains Malaysia)

  • Ali Emrouznejad

    (Aston University)

  • Adli Mustafa

    (Universiti Sains Malaysia)

  • Joshua Ignatius

    (Universiti Sains Malaysia)

Abstract

In the traditional TOPSIS, the ideal solutions are assumed to be located at the endpoints of the data interval. However, not all performance attributes possess ideal values at the endpoints. We termed performance attributes that have ideal values at extreme points as Type-1 attributes. Type-2 attributes however possess ideal values somewhere within the data interval instead of being at the extreme end points. This provides a preference ranking problem when all attributes are computed and assumed to be of the Type-1 nature. To overcome this issue, we propose a new Fuzzy DEA method for computing the ideal values and distance function of Type-2 attributes in a TOPSIS methodology. Our method allows Type-1 and Type-2 attributes to be included in an evaluation system without compromising the ranking quality. The efficacy of the proposed model is illustrated with a vendor evaluation case for a high-tech investment decision making exercise. A comparison analysis with the traditional TOPSIS is also presented.

Suggested Citation

  • Majid Zerafat Angiz Langroudi & Ali Emrouznejad & Adli Mustafa & Joshua Ignatius, 2013. "Type-2 TOPSIS: A Group Decision Problem When Ideal Values are not Extreme Endpoints," Group Decision and Negotiation, Springer, vol. 22(5), pages 851-866, September.
    • Handle: RePEc:spr:grdene:v:22:y:2013:i:5:d:10.1007_s10726-012-9296-4
    DOI: 10.1007/s10726-012-9296-4
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    References listed on IDEAS

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    Cited by:

    1. Jorge Antunes & Rangan Gupta & Zinnia Mukherjee & Peter Wanke, 2022. "Information entropy, continuous improvement, and US energy performance: a novel stochastic-entropic analysis for ideal solutions (SEA-IS)," Annals of Operations Research, Springer, vol. 313(1), pages 289-318, June.
    2. 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.

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