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A Hesitant Fuzzy Linguistic TODIM Model and Its Application on the Behavior of Ship Water Pollutant Receiving Facility Selection

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Abstract

The hesitant fuzzy linguistic term sets (HFLTSs) are capable of accurately capturing decision makers’ subjective characteristics, thereby resolving the issue of uncertain ambiguity in decision-making concerning existing ship water pollutant receiving facilities (SWPRF). This paper introduces an enhanced TODIM approach that incorporates optimized dominance degrees to overcome the shortcomings associated with current research assumptions regarding known weights, artificial elements, and disregard for decision makers’ psychological behavior. Firstly, we introduce a new HFLTS hesitancy degree (HFLTS-HD) and bidirectional projection model to handle the problem of unknown weights. Moreover, our proposed model incorporates attribute weights, decision maker weights, and hesitant fuzzy linguistic weighted operators. Secondly, considering the inconsistency in the cardinality of elements within the hesitant fuzzy linguistic term set, we define the hesitant fuzzy linguistic signed distance (HFLSD). Eventually, using Taizhou SWPRF and its disposal facilities as a case study, the effectiveness of the proposed scheme is demonstrated, while highlighting the superiority of the proposed method through a comparison with two existing approaches.

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The research in this paper is primarily based on the subjective background of value evaluation, thus proposing novel decision-making methods without incorporating any objective data. Consequently, we regretfully cannot provide relevant data. I sincerely apologize for the inconvenience.

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Acknowledgements

This research is supported by the National Natural Science Foundation of China (No. 61773123), The authors thank the reviewers and editors for their constructive comments on improving this paper.

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Authors and Affiliations

  1. School of Management and E-Business, Zhejiang Gongshang University, Hangzhou, 310018, Zhejiang, People’s Republic of China

    Quanyu Ding

  2. School of Law, Fuzhou University, Fuzhou, 350116, Fujian, People’s Republic of China

    Cheng Zhang

  3. Key Laboratory of Spatial Data Mining & Information Sharing of Ministry of Education, Fuzhou University, Fuzhou, 350116, Fujian, People’s Republic of China

    Ying-Ming Wang

  4. NUS Business School and The Logistics Institute–Asia Pacific, National University of Singapore, Singapore, Singapore

    Mark Goh

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  1. Quanyu Ding
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  2. Cheng Zhang
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Correspondence to Quanyu Ding.

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Ding, Q., Zhang, C., Wang, YM. et al. A Hesitant Fuzzy Linguistic TODIM Model and Its Application on the Behavior of Ship Water Pollutant Receiving Facility Selection. Int. J. Fuzzy Syst. 26, 613–624 (2024). https://doi.org/10.1007/s40815-023-01620-z

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  • DOI: https://doi.org/10.1007/s40815-023-01620-z

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