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Pythagorean Z-linguistic VIKOR method based on modified value function under Pythagorean Z-linguistic environment and its application on smart healthcare

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Abstract

In response to the growing maturation of technological level in the modern medical industry, this paper proposes the PZLMVF-VIKOR method to tackle uncertain multi-attribute group decision-making in smart healthcare. First, a novel Pythagorean Z-linguistic modified value function based on regret theory is defined to consider the impact of DMs’ emotions on decision outcomes. Then, a combined weighting method is used to obtain the final attribute weight vector by the closeness degree, with the expert weight determination based on consensus measures. Subsequently, we propose an extended VIKOR method in Pythagorean Z-linguistic environment to solve the evaluation problem of the development in smart healthcare. Finally, a practical case and some comparative analysis is conducted to illustrate the justifiability and effectiveness of this method.

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Acknowledgements

This work was supported by the Graduate Teaching Reform Research Program of Chongqing Municipal Education Commission (No.YKCSZ23121,No.YJG212022), the Chongqing Research and Innovation Project of Graduate Students(No.CYS23436), and the Major projects of the National Social Science Fund(21 &ZD153).

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  1. Key Laboratory of Intelligent Analysis and Decision on Complex Systems, Chongqing University of Posts and Telecommunications, Chongqing, 400065, People’s Republic of China

    Sidong ** Liu & Longjun Yin

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  1. Sidong **an
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  2. Wenjia Li
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  3. Ren** Liu
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  4. Longjun Yin
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Correspondence to Sidong **an.

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**an, S., Li, W., Liu, R. et al. Pythagorean Z-linguistic VIKOR method based on modified value function under Pythagorean Z-linguistic environment and its application on smart healthcare. Comp. Appl. Math. 43, 173 (2024). https://doi.org/10.1007/s40314-024-02709-3

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