Intuitionistic fuzzy linguistic clustering algorithm based on a new correlation coefficient for intuitionistic fuzzy linguistic information

  • Sidong XianEmail author
  • Yubo Yin
  • Yixin Liu
  • Meilin You
  • Kun Wang
Theoretical Advances


For observations to be classified, when scoring rules are imprecise or the cost of their computation is too high, the clustering method under linguistic information is necessary. Considering the accuracy of intuitionistic fuzzy linguistic variable in expressing experts’ opinions, a clustering algorithm is presented in this paper. Firstly, the concept of triangular intuitionistic fuzzy linguistic variables (TIFLVs) is introduced, and a new formula is developed for calculating correlation coefficient of TIFLVs. Then, the correlation coefficient plays a central role in our modified λ-cutting algorithm for clustering, which is utilized to construct an equivalence correlation matrix. In addition, a silhouette cluster validity index of TIFLVs is proposed to revise the results of clustering. Finally, the experimental results demonstrate the application and practicability of the clustering algorithm.


Intuitionistic fuzzy linguistic variable Triangular intuitionistic fuzzy linguistic variables Correlation coefficient λ-cutting matrix Intuitionistic fuzzy linguistic clustering 



This work was supported by the Chongqing research and innovation project of graduate students (Nos. CYS17227, CYS18252), the Graduate Teaching Reform Research Program of Chongqing Municipal Education Commission (Nos. YJG183074).


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Copyright information

© Springer-Verlag London Ltd., part of Springer Nature 2018

Authors and Affiliations

  • Sidong Xian
    • 1
    Email author
  • Yubo Yin
    • 1
  • Yixin Liu
    • 2
  • Meilin You
    • 3
  • Kun Wang
    • 4
  1. 1.Key Laboratory of Intelligent Analysis and Decision on Complex SystemsChongqing University of Posts and TelecommunicationsChongqingPeople’s Republic of China
  2. 2.Shenzhen Key Laboratory of Computational Intelligence, Department of Computer Science and EngineeringSouthern University of Science and TechnologyShenzhenPeople’s Republic of China
  3. 3.School of Information and Safety EngineeringZhongnan University of Economics and LawWuhanPeople’s Republic of China
  4. 4.School of Cyber EngineeringXidian UniversityXi’anPeople’s Republic of China

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