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Multicriteria Group Decision-Making for Supplier Selection Based on Intuitionistic Cubic Fuzzy Aggregation Operators

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Abstract

This article is an advanced approach to intuitionistic fuzzy set through application of cubic set theory. For instance, we establish the idea of the intuitionistic cubic fuzzy set (ICFS) theory and define several operations for ICFS ; also establish a series of weighted aggregation operators under intuitionistic cubic fuzzy information, so-called intuitionistic cubic fuzzy weighted averaging (ICFWA) operator, intuitionistic cubic fuzzy order weighted averaging (ICFOWA) operator, intuitionistic cubic fuzzy weighted geometric (ICFWG) operator, intuitionistic cubic fuzzy order weighted geometric (ICFOWG) operator, intuitionistic cubic fuzzy hybrid averaging (ICFHA) operator, and intuitionistic cubic fuzzy hybrid geometric (ICFHG) operator; and further study their fundamental properties and showed the relationship among these aggregation operators. In order to demonstrate the feasibility and practicality of the mentioned new technique, we develop multicriteria group decision-making algorithm under intuitionistic cubic fuzzy environment. Further, the proposed method applied to supply chain management and for implementation, consider numerical application of supply chain management. Also the selected supplier by ICFD aggregation operators is verified by VIKOR method. Comparing the proposed techniques with other pre-existing aggregation operators, we concluded that the proposed technique is better, reliable, and effective.

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Acknowledgements

This research work was supported by Higher Education Commission (HEC) under National Research Programme for University (NRPU), Project title, Fuzzy Mathematical Modelling for Decision Support Systems and Smart Grid Systems (No. 10701/KPK/NRPU/R&D/HEC/2017).

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  1. Department of Mathematics, Abdul Wali Khan University Garden Campus, Mardan, Pakistan

    Muneeza & Saleem Abdullah

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  1. Muneeza
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  2. Saleem Abdullah
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Correspondence to Saleem Abdullah.

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Muneeza, Abdullah, S. Multicriteria Group Decision-Making for Supplier Selection Based on Intuitionistic Cubic Fuzzy Aggregation Operators. Int. J. Fuzzy Syst. 22, 810–823 (2020). https://doi.org/10.1007/s40815-019-00768-x

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