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Extended CODAS method for multi-attribute group decision-making based on 2-tuple linguistic Fermatean fuzzy Hamacher aggregation operators

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Abstract

The 2-tuple linguistic model initiated by Herrera and Martinez has become one of the most useful computing with words approaches. It provides an effective way of representing the linguistic evaluation in terms of 2-tuples to avoid information loss in decision-making process. This research aims at extending the combinative distance based assessment (CODAS) method by virtue of 2-tuple linguistic Fermatean fuzzy Hamacher aggregation operators. We put forth several different types of 2-tuple linguistic Fermatean fuzzy aggregation operators, including the 2-tuple linguistic Fermatean fuzzy Hamacher weighted averaging operator, the 2-tuple linguistic Fermatean fuzzy Hamacher weighted geometric operator, the 2-tuple linguistic Fermatean fuzzy Hamacher Hybrid averaging operator, and the 2-tuple linguistic Fermatean fuzzy Hamacher Hybrid geometric operator. Some fundamental properties of the proposed 2-tuple linguistic Fermatean fuzzy aggregation operators are investigated. Furthermore, we develop a 2-tuple linguistic Fermatean fuzzy CODAS method with the proposed aggregation operators for solving multi-attribute group decision-making problems. Numerical examples regarding the selection of construction companies and McDonald’s franchisees are used to show the effectiveness of the proposed extended CODAS approach. Finally, a comparative analysis is conducted to validate the proposed approach and show its advantages.

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Acknowledgements

This work was partially supported by the National Natural Science Foundation of China [Grant No. 11301415], the Shaanxi Provincial Key Research and Development Program [Grant No. 2021SF-480], and the Natural Science Basic Research Plan in Shaanxi Province of China [Grant No. 2018JM1054].

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Authors and Affiliations

  1. Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan

    Muhammad Akram & Zohra Niaz

  2. School of Science, and Shaanxi Key Laboratory of Network Data Analysis and Intelligent Processing, Xi’an University of Posts and Telecommunications, Xi’an, 710121, China

    Feng Feng

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  1. Muhammad Akram
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  2. Zohra Niaz
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Correspondence to Feng Feng.

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Akram, M., Niaz, Z. & Feng, F. Extended CODAS method for multi-attribute group decision-making based on 2-tuple linguistic Fermatean fuzzy Hamacher aggregation operators. Granul. Comput. 8, 441–466 (2023). https://doi.org/10.1007/s41066-022-00332-3

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