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Probabilistic Linguistic Term Envelopment Analysis Model

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Abstract

Data envelopment analysis is a useful model for efficiency evaluation. In order to improve the haze pollution in China, it is particularly essential to allocate the PM2.5 emission rights of various provinces according to the actual situation reasonably. However, the expressions of input and output information are often limited or incomplete. Probabilistic linguistic term sets are employed to increase the expression range of information. Therefore, the proposed probabilistic linguistic term envelopment analysis (PLTEA) model is divided into deviation-oriented probabilistic linguistic term envelopment analysis model and score-oriented probabilistic linguistic term envelopment analysis model. The dual form of the PLTEA model has obtained to solve the actual emission rights distribution problem. Finally, the optimization methods of the distribution efficiency of the PM2.5 emission rights in China in 2019, and some policy suggestions are given to reduce haze pollution.

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Acknowledgements

The authors would like to acknowledge the financial support of and the National Natural Science Foundation of China (Nos.71971119, 71771155), the Major Program of the National Social Science Fund of China (No.17ZDA092), and the Collaborative Innovation Center of Audit Information Engineering and Technology (No.18CICA01).

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Authors and Affiliations

  1. School of Computer and Software, Nanjing University of Information Science & Technology, Nanjing, 210044, Jiangsu, China

    Xuan Yao

  2. School of Information Engineering, Nanjing Audit University, Nanjing, 211815, Jiangsu, China

    Hai Wang

  3. Business School, Sichuan University, Chengdu, 610064, Sichuan, China

    Zeshui Xu

Authors
  1. Xuan Yao
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  2. Hai Wang
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  3. Zeshui Xu
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Correspondence to Zeshui Xu.

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Yao, X., Wang, H. & Xu, Z. Probabilistic Linguistic Term Envelopment Analysis Model. Int. J. Fuzzy Syst. 23, 262–279 (2021). https://doi.org/10.1007/s40815-020-00966-y

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  • DOI: https://doi.org/10.1007/s40815-020-00966-y

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