Circular intuitionistic fuzzy TOPSIS method with vague membership functions: Supplier selection application context

Cengiz Kahraman, Nurşah Alkan

Research output: Contribution to journalArticlepeer-review

47 Citations (Scopus)

Abstract

The membership function of a general type-2 fuzzy set is three-dimensional in order to incorporate its vagueness through the third dimension. Similarly, Circular intuitionistic fuzzy sets (CIFSs) have been recently introduced by Atanassov (2020) as a new extension of intuitionistic fuzzy sets, which are represented by a circle representing the vagueness of the membership function. CIFSs allow decision-makers to express their judgments including this vagueness. In this study, the TOPSIS method, which is one of the most used multi-criteria decision-making methods is extended to its CIF version. The proposed CIF-TOPSIS methodology is applied to the supplier selection problem. Then, a sensitivity analysis based on criteria weights is conducted to check the robustness of the proposed approach. A comparative analysis with single-valued intuitionistic fuzzy TOPSIS method is also performed to verify the developed approach and to demonstrate its effectiveness.

Original languageEnglish
Pages (from-to)24-52
Number of pages29
JournalNotes on Intuitionistic Fuzzy Sets
Volume27
Issue number1
DOIs
Publication statusPublished - 2021

Bibliographical note

Publisher Copyright:
© 2021, "Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences. All rights reserved.

Keywords

  • Circular intuitionistic fuzzy sets
  • Intuitionistic fuzzy sets
  • MCDM
  • Supplier selection
  • TOPSIS

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