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Low-carbon cities comprehensive evaluation method based on Fermatean fuzzy hybrid distance measure and TOPSIS

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Abstract

Low-carbon city (LCC) quality evaluation is getting increasingly attention in recent years. However, uncertainty decision-making processes and complicated indicators in LCC development have brought challenges to the evaluation, making it more difficult to reach a consensus during assessment. To address these issues, this study develops a novel comprehensive framework based technique for order of preference by similarity to ideal solution (TOPSIS) and Fermatean fuzzy hybrid weighted distance measure for LCC quality. Firstly, a new Fermatean fuzzy (FF) distance measure from hybrid weighted perspective, named as FF hybrid weighted distance (FFHWD) measured is proposed, and some of its merits and mathematical characteristics are also explored. An FFHWD–TOPSIS comprehensive evaluation framework is then presented, wherein the entropy model and best–worst method (BWM) are utilized to derive the weights of different indicators. In addition, based on the established LCC quality evaluation index system, the proposed FFHWD-TOPSIS approach is used to measure the level of development of LCC in five Chinese cities. Finally, a sensitivity and comparative analysis of the proposed framework are carried out in detail. This study not only contributes to enriching the evaluation index system for LCC development, but also to presenting researchers with a reference for scientific evaluation approach.

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Acknowledgements

This work is supported by the National Social Science Fund of China (22ATJ003), the Social Sciences Planning Projects of Zhejiang (21QNYC11ZD) and Statistical Scientific Key Research Project of China (2021LZ33).

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Authors and Affiliations

  1. School of Business, Ningbo University, Ningbo, 315211, China

    Shouzhen Zeng & Jiaxing Gu

  2. School of Information Engineering, Shaoguan University, Shaoguan, 512005, China

    Xindong Peng

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  1. Shouzhen Zeng
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  2. Jiaxing Gu
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  3. Xindong Peng
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Correspondence to Shouzhen Zeng.

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Zeng, S., Gu, J. & Peng, X. Low-carbon cities comprehensive evaluation method based on Fermatean fuzzy hybrid distance measure and TOPSIS. Artif Intell Rev 56, 8591–8607 (2023). https://doi.org/10.1007/s10462-022-10387-y

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