Type-2 TOPSIS: a group decision problem when ideal values are not extreme endpoints

Majid Z.A. Langroudi, Ali Emrouznejad, Adli Mustafa, Joshua Ignatius*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)851-866
Number of pages16
JournalGroup Decision and Negotiation
Issue number5
Early online date15 May 2012
Publication statusPublished - Sept 2013


  • fuzzy data envelopment analysis
  • group decision making
  • MCDM
  • multiple attribute decision making (MADM)


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