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A Modified EDAS Method Based on Cumulative Prospect Theory for MAGDM with 2-Tuple Linguistic Pythagorean Fuzzy Information

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Abstract

Multi-attribute group decision-making (MAGDM) is an important research field in modern decision science, and its theories and methods are fully applied. Therefore, research on MAGDM has important practical significance and high practical value. First of all, this paper gives the relevant definitions and calculation rules of 2TLPFSs, as well as the Hamming distance, cumulative prospect theory (CPT), etc, secondly introduces the entropy weight method and the traditional EDAS method, respectively, and then gives the EDAS method for MAGDM with 2TLPFs (2TLPF-EDAS) on the basis of the previous research and the concrete steps of EDAS method for MAGDM based on CPT with 2TLPFs (2TLPF-CPT-EDAS) method combining entropy weight method. In addition, the 2TLPF-CPT-EDAS method is applied to the numerical example of product research and development (R&D) problem, and the result is compared with other three methods. It is found that the 2TLPF-CPT-EDAS method is feasible, and the application field is further expanded. Finally, the full paper is summarized, and based on the problems of the current work, the focus of future work is laid out.

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Acknowledgements

The work was supported by the National Social Science Foundation of China under Grant No. 21XJY003 and Sichuan Province Social Development Key R&D Projects under Grant No. 2023YFS0375.

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Authors and Affiliations

  1. School of Mathematical Sciences, Sichuan Normal University, Chengdu, 610101, People’s Republic of China

    Yangjingyu Zhang & Guiwu Wei

  2. School of Business, Sichuan Normal University, Chengdu, 610101, People’s Republic of China

    Qiang Cai & Guiwu Wei

  3. School of Economics and Management, Chongqing University of Arts and Sciences, Chongqing, 402160, China

    Hongjun Wang

  4. School of Management Science and Engineering, Southwestern, Southwestern University of Finance and Economics, Chengdu, 611130, People’s Republic of China

    Cun Wei

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  1. Yangjingyu Zhang
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  2. Qiang Cai
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  3. Guiwu Wei
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Correspondence to Cun Wei.

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Zhang, Y., Cai, Q., Wei, G. et al. A Modified EDAS Method Based on Cumulative Prospect Theory for MAGDM with 2-Tuple Linguistic Pythagorean Fuzzy Information. Int. J. Fuzzy Syst. 25, 2109–2122 (2023). https://doi.org/10.1007/s40815-022-01453-2

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