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A Novel Group TODIM Method Based on Multi-Granularity Proportional Hesitant Fuzzy Linguistic Term Sets for Water Resources Risk Evaluation

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Abstract

The risk of water resources has become a serious crisis threatening the human survival and social development. Based on the establishment of a comprehensive risk evaluation system from perspective of water quantity and water quality, this paper proposes a group TODIM (an acronym in Portuguese for Interactive and Multi-criteria Decision Making) with multi-granularity proportional hesitant fuzzy linguistic term sets (PHFLTSs) based on a novel comparison method to evaluate water resources risk. In the method, a novel supplementary of extension function and hesitation value function of comparing and measuring the PHFLTSs is firstly proposed. Furthermore, incomplete weight information method is introduced to establish optimization model to compute the final indicator weights, which are extended to TODIM method to evaluate water resources risk of Hubei Province of China. Finally, the availability and reliability of the method are confirmed by further analysis, and specific management suggestions are put forward to reduce the associated risk.

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The datasets used and/or analysed during the current study are available from the corresponding author on reasonable request.

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Acknowledgements

We are thankful for financial support from the National Natural Science Foundations of China (Grant Nos. 71801177, 71871175), and the Humanities and Social Science Fund of Ministry of Education of China (Grant No. 18YJC630163).

Funding

This research was supported by the National Natural Science Foundation of China (Grant Nos. 71801177, 71871175), and the Humanities and Social Science Fund of Ministry of Education of China (Grant No. 18YJC630163).

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LL: Data curation, Formal analysis, Investigation, Methodology, Writing - original draft; YL: Methodology; YT: Conceptualization, Formal analysis, Supervision; XZ: Conceptualization ; BL: Writing - review & editing.

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Correspondence to Yan Tu.

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Li, L., Liu, Y., Tu, Y. et al. A Novel Group TODIM Method Based on Multi-Granularity Proportional Hesitant Fuzzy Linguistic Term Sets for Water Resources Risk Evaluation. Group Decis Negot 31, 913–944 (2022). https://doi.org/10.1007/s10726-022-09791-0

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  • DOI: https://doi.org/10.1007/s10726-022-09791-0

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