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Some new information measures for hesitant fuzzy PROMETHEE method and application to green supplier selection

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Abstract

Due to the increasing complexity and uncertainty in green supplier selection, there would be some hesitations for decision makers (DMs) to provide evaluation information of suppliers. Hesitant fuzzy set is a suitable tool to model such hesitations. This paper develops a hesitant fuzzy Preference Ranking Organization Method for Enrichment Evaluations (PROMETHEE) for multi-criteria group decision-making and applies to green supplier selection. First, a new hesitancy index of hesitant fuzzy element (HFE) is defined. Then, a generalized hesitant fuzzy Hausdorff distance is proposed considering the individual deviation of membership values and the hesitancy index simultaneously. A combined hesitant fuzzy entropy is presented integrating the defined fuzziness entropy and hesitancy entropy of HFEs. Subsequently, a linear programming model is established to derive DMs’ weights objectively. To determine the criteria weights for each DM, a nonlinear programming model is built through minimizing the relative entropy. The PROMETHEE is employed to obtain individual ranking of alternatives for each DM. To obtain the collective ranking of alternatives, a multi-objective assignment model is constructed and transformed into a single-objective assignment model for resolution. Thereby, a hesitant fuzzy PROMETHEE method is presented. A green supplier selection example is demonstrated to validate the proposed method.

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Acknowledgements

This research was supported by the National Natural Science Foundation of China (Nos. 71740021, 11861034 and 11461030), the Natural Science Foundation of Jiangxi Province of China (No. 20192BAB207012), the Science and Technology Project of Jiangxi province educational department of China (No. GJJ19), and “Thirteen five” Programming Project of Jiangxi province Social Science (2018) (No. 18GL13).

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  1. School of Information Technology, Jiangxi University of Finance and Economics, Nanchang, 330013, China

    Shu-ping Wan, Wen-chang Zou & Long-gen Zhong

  2. School of Statistics, Jiangxi University of Finance and Economics, Nanchang, 330013, China

    Jiu-ying Dong

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Wan, Sp., Zou, Wc., Zhong, Lg. et al. Some new information measures for hesitant fuzzy PROMETHEE method and application to green supplier selection. Soft Comput 24, 9179–9203 (2020). https://doi.org/10.1007/s00500-019-04446-w

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