A ranking method based on interval type-2 fuzzy sets for multiple attribute group decision making

  • Avijit De
  • Pradip Kundu
  • Sujit Das
  • Samarjit KarEmail author


Ranking of fuzzy numbers has become an important research direction for decision-making problems due to its role to find the best objects under uncertainty. In this paper, we propose a new approach to perform multiple attribute group decision-making (MAGDM) problems using the ranking of interval type-2 fuzzy sets. Initially, a new ranking method for interval type-2 fuzzy numbers based on centroid and rank index has been proposed. Next, we present a comparative study to analyze the ranking values of the proposed method with the existing approaches, where we explore the necessity of the proposed ranking method. After that, a new MAGDM approach has been developed using the proposed ranking procedure to solve uncertain MAGDM problems. Finally, the applicability of the proposed approach has been illustrated using two numerical examples and a case study related to car-sharing problems. The proposed study exhibits a useful way to solve fuzzy MAGDM problems with much efficient manner since it applies interval type-2 fuzzy sets compared to type-1 fuzzy sets to signify the evaluating values and weights of the attributes.


Multi-attribute group decision making Interval type-2 fuzzy set Ranking method Centroid point 


Compliance with ethical standards

Conflict of interest

The authors declare that there is no conflict of interest regarding the publication of this article.

Human and animal rights

This article does not contain any studies with human participants or animals performed by any of the authors.

Informed consent

Informed consent is obtained from all individual participants included in the study.


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • Avijit De
    • 1
  • Pradip Kundu
    • 2
  • Sujit Das
    • 3
  • Samarjit Kar
    • 4
    Email author
  1. 1.Department of MathematicsDr. B. C. Roy Engineering CollegeDurgapurIndia
  2. 2.Decision Science and Operations ManagementBirla Global UniversityBhubaneswarIndia
  3. 3.Department of Computer Science and EngineeringNational Institute of Technology WarangalHanamkondaIndia
  4. 4.Department of MathematicsNational Institute of Technology DurgapurDurgapurIndia

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