Soft Computing

, Volume 21, Issue 23, pp 7125–7140 | Cite as

Ranking of incomplete trapezoidal information

  • V. Lakshmana Gomathi Nayagam
  • S. JeevarajEmail author
  • Geetha Sivaraman
Methodologies and Application


Any information system or decision model which consists of combinations of quantitative, qualitative, imprecise and incomplete informations can be modelled better using trapezoidal intuitionistic fuzzy numbers (TrIFNs) than interval valued intuitionistic fuzzy numbers. Ranking of TrIFNs plays an important role in intuitionistic fuzzy decision-making or intuitionistic fuzzy information system. In this paper, a new method for ranking of TrIFNs using membership, non-membership, vague and precise score functions which generalises the membership, non-membership, vague and precise score functions defined in Geetha et al. (Expert Syst Appl 41:1947–1954, 2014) is proposed and a new algorithm for solving information system problem with incomplete information is introduced. Further, the significance of our proposed method over the existing methods is studied by an illustrative example.


Information system Intuitionistic fuzzy number Trapezoidal intuitionistic fuzzy number Membership Non-membership Vague and imprecise score functions 



The authors are grateful to the anonymous reviewers whose thoughtful remarks are greatly useful for the improvement of the paper.

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest regarding the publication of this paper.

Ethical approval

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


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Copyright information

© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  • V. Lakshmana Gomathi Nayagam
    • 1
  • S. Jeevaraj
    • 1
    Email author
  • Geetha Sivaraman
    • 2
  1. 1.Department of MathematicsNational Institute of Technology TiruchirappalliTiruchirappalliIndia
  2. 2.Department of MathematicsSt. Joseph’s College (Autonomous)TiruchirappalliIndia

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