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

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Title of paper: Circular intuitionistic fuzzy TOPSIS method with vague membership functions: Supplier selection application context Author(s): Cengiz Kahraman Istanbul Technical University, Industrial Engineering Department, 34367, Macka, Besiktas, Istanbul, Turkey Nurşah Alkan Istanbul Technical University, Industrial Engineering Department, 34367, Macka, Besiktas, Istanbul, Turkey Published in: Notes on Intuitionistic Fuzzy Sets, Volume 27 (2021), Number 1, pages 24–52 DOI: https://doi.org/10.7546/nifs.2021.27.1.24-52 Download:  PDF (2255  Kb, File info) 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 Keywords: Circular intuitionistic fuzzy sets, Intuitionistic fuzzy sets, MCDM, TOPSIS, Supplier selection. AMS Classification: 03E72 References: Atanassov, K. (1986). Intuitionistic fuzzy sets. Fuzzy Sets System, 20 (1), 87–96. Atannasov, K. (1999). Intuitionistic Fuzzy Sets: Theory and Applications, New York: Heidelberg: Physica-Verlag. Atanassov, K. (2020). Circular intuitionistic fuzzy sets. 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