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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
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
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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
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