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A multiple attribute decision-making method based on interval-valued q-rung dual hesitant fuzzy power Hamy mean and novel score function

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Abstract

The recently proposed interval-valued q-rung dual hesitant fuzzy sets (IVq-RDHFSs) allow the possible membership degrees and non-membership degrees to be denoted by some series of interval values, which can effectively deal with decision makers’ (DMs’) hesitancy in multiple attribute decision-making (MADM) process. The purpose of this paper is to propose a new decision-making method under IVq-RDHFSs. First, by pointing out the drawback of existing score function of interval-valued q-rung dual hesitant fuzzy element (IVq-RDHFE), a new score function is proposed. Second, to effectively aggregate IVq-RDHFEs this paper proposes the interval-valued q-rung dual hesitant fuzzy power Hamy mean operator and the interval-valued q-rung dual hesitant fuzzy power weighted Hamy mean operator. Compared with existing aggregation operators of IVq-RDHFEs, the newly proposed operators can not only deal with the complicated interrelationship among attributes, but also felicitously handle DMs’ unreasonable evaluation information. Hence, our operators are suitable to deal with practical MADM problems. Third, a new MADM method is presented based on the proposed operators, and the main steps are clearly demonstrated. Lastly, we conduct case study to show the effectiveness of our proposed method.

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Acknowledgements

This work was supported by National Natural Science Foundation of China (61702023), Humanities and Social Science Foundation of Ministry of Education of China (17YJC870015), Beijing Natural Science Foundation (7192107), and the Beijing Social Science Foundation (19JDGLB022).

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Authors and Affiliations

  1. School of Economics and Management, Beijing Jiaotong University, Beijing, China

    Xue Feng, Xiaopu Shang & Yuan Xu

  2. School of Economics and Management, Beijing University of Chemical Technology, Beijing, China

    Jun Wang

  3. Beijing Logistics Informatics Research Base, Beijing, China

    Xue Feng & Yuan Xu

Authors
  1. Xue Feng
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  2. Xiaopu Shang
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  3. Jun Wang
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  4. Yuan Xu
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Correspondence to Xiaopu Shang.

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Communicated by Anibal Tavares de Azevedo.

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Feng, X., Shang, X., Wang, J. et al. A multiple attribute decision-making method based on interval-valued q-rung dual hesitant fuzzy power Hamy mean and novel score function. Comp. Appl. Math. 40, 13 (2021). https://doi.org/10.1007/s40314-020-01384-4

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